BASIC GEOMETRY GLOSSARY


 Claire Copeland
 2 years ago
 Views:
Transcription
1 BASIC GEOMETRY GLOSSARY Acute angle An angle that measures between 0 and 90. Examples: Acute triangle A triangle in which each angle is an acute angle. Adjacent angles Two angles next to each other that share a common vertex and a common side. ABC is adjacent to CBD.
2 Alternate exterior angles  A pair of angles that are exterior to the lines and on alternate sides of the transversal. 1 and 8 and 2 and 7 are alternate exterior angles. Alternate interior angles  A pair of angles that are interior to the lines but on alternate sides of the transversal. 3 and 6 and 4 and 5 are alternate interior angles.
3 Altitude (1) Height. (2) The perpendicular segment from the vertex of a triangle to the line that contains the opposite side. Angle Two rays that have a common endpoint. Examples:
4 Angle bisector A ray that divides an angle into two equal adjacent angles. Angle of depression The angle formed by the horizontal and the line of sight to an object below the horizontal.
5 Angle of elevation  The angle formed by the horizontal and the line of sight to an object above the horizontal. Angle of incidence  The angle formed by a ray incident on a surface and a perpendicular to the surface at the point of incidence. The angle of incidence = the angle of reflection. Where i is the angle of incidence and r is the angle of reflection.
6 Angle of reflection  The angle formed by a reflected ray and a perpendicular to the surface at the point of reflection. The angle of reflection = the angle of incidence. Where i is the angle of incidence and r is the angle of reflection. Area  The amount of square units that covers a given surface. ASA (1) Suppose that we have two triangles ABC and DEF. If a side of ABC and two angles that have this side of ABC as one of their sides are equal to the corresponding side and two angles of the triangle DEF, then triangles ABC and DEF are equal. The proof for the above is: Given: AC CD, B D. Prove: VABC VEDC Proof: Statement Reason AC CD Given B D Given ACB ECD Vertical Angles VABC VEDC ASA
7 (2) If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar, known as AA similarity. Base The face or lower side of a geometric shape. Base angle of an isosceles triangle The angle that is opposite of one of the equilateral sides of an isosceles triangle. There are two base angles in an isosceles triangle.
8 Betweenness of points  In the figure, Point B is between A and C while Point Y is not between A and B. For B to be between A and C, all three points must be collinear and B must lie on segment AC. Centroid Where the three medians of a triangle intersect. Also called the center of gravity.
9 Circle Set of all points in a plane a given distance from a given point. Circumcenter  The intersection of the three perpendicular bisectors of a triangle. Circumference The distance around a circle. The formula for circumference is: c = 2π r or c = π d, where r = radius and d = diameter.
10 Circumscribed A polygon is circumscribed around a circle if all the sides of the polygon are tangent to the circle. Collinear  In the same line. Points A, B, C, D and E are collinear while F is not. Complementary angles Two angles whose sum measures 90. Where EBD and DBC are complementary angles.
11 Concave polygon A polygon that has at least one interior angle greater than 180 and has some of its sides bent inward. Examples: Concentric circles Circles that have different radii but share the same center.
12 Cone A solid figure that has a circle for its base and tapers to a point. Congruent  Having the same size and shape. Where V ABC is congruent to V DEF. Congruent angles  Two angles that have the same measure. Written as A B.
13 Congruent polygons  Two polygons that are equal in shape and size. Written as A B. Congruent segments  Two segments that are equal in length. Written as A B. Converse A reversed condition. For example: if a b, then its converse is b a. Converse of the Pythagorean theorem This states that if the sum of the squares of the two shorter sides of a triangle equals the square of the longest side of the triangle, then the triangle is a right triangle. This is written as: c 2 = a 2 + b 2. Convex polygon A polygon in which each interior angle is less than or equal to 180. Examples: Coplanar Within the same plane.
14 Corresponding angles Two nonadjacent angles on the same side of the transversal, with one angle interior and one angle exterior to the lines. Where 2 and 6 are corresponding angles. Cosine  The ratio of the length of the side that is adjacent to an angle to the length of the hypotenuse in a right triangle. cosb (cosine of B ) = AB, where AB is the length of the adjacent sides and BC is the BC length of the hypotenuse.
15 CPCTC When you have two congruent triangles, then all six pairs of corresponding parts (sides and angles) are congruent. This statement is usually known as corresponding parts of congruent triangles are congruent, or CPCTC for short. For the above, if VABC V XYZ then AB ZY, BC YX, AC XZ, A Z, B Y and C X. Cube  A square prism that has six equal square sides. Examples: Cylinder  A solid with circular ends and straight sides.
16 Diagonal A line segment joining two nonadjacent vertices of a polygon. Diameter The distance across a circle through its center. The diameter is AB. Dilation A transformation that enlarges or reduces a figure.
17 Distance The distance between two points A and B is written as AB. Dodecahedron A solid figure with 12 regular pentagon faces. Examples: Equilateral triangle A triangle with all sides congruent.
18 Equiangular triangle A triangle that has angles with the same measurement. Exterior angles The angles that are on the outer sides of two lines cut by a transversal. Where 1, 2, 7 and 8 are exterior angles. Heptagon  A sevensided polygon. The sum of the angles is 900.
19 Hexagon  A sixsided polygon. The sum of the angles is 720. Hexagonal prism A prism composed of two hexagonal faces and six parallelograms. Hypotenuse of a right triangle  The side of a right triangle that is opposite the right angle.
20 Icosahedron A solid figure with 20 equilateral triangle faces. Examples: Incenter  The intersection of the bisectors of the three angles in the triangle ABC.
21 Included angle The angle formed by two sides of a polygon. Where A is an included angle formed by sides a and d, B is an included angle formed by sides a and b, C is an included angle formed by sides b and c, and D is an included angle formed by sides c and d. Included side The side that is between two angles in a polygon. Where a is an included side formed by A and B, b is an included side formed by B and C, c is an included side formed by C and D, and d is an included side formed by D and A. Inscribed  A polygon is inscribed in a circle if all its vertices are on the circle.
22 Interior angles Angles that are on the inner sides of two lines cut by a transversal. Where 3, 4, 5 and 6 are interior angles.
23 Intersecting lines Two lines that cross at only one point. Inverse Reciprocal The opposite of the reciprocal of x is Examples: 2 is the inverse reciprocal of is the inverse reciprocal of 2 1. x Isosceles trapezoid A quadrilateral with one pair of sides parallel with at least two sides the same length. Isosceles triangle A triangle with at least two congruent sides.
24 Kite A quadrilateral that has two distinct pairs of consecutive equilateral sides. Legs of a right triangle  Either of the two sides that form a right angle of a right triangle. Legs of an isosceles triangle  One of the two congruent sides in an isosceles triangle.
25 Line A set of points that are perfectly straight and extend forever. Can be named by a lowercase letter or by two points on the line. If naming suur by two points on the line, a doubleheaded arrow is used over the two letters, ex. AB. suur Written as line XY or XY. Linear pair Two supplementary adjacent angles that form a line with their noncommon sides. Line of symmetry A line that separates a figure into two congruent, or identical, parts.
26 Examples: The dashed lines are the lines of symmetry. Median (1) The median of a trapezoid is parallel to the bases, and its measure is onehalf the sum of the measures of the bases. The median of a trapezoid is the segment that joins the midpoints of its legs, as shown below. (2) The segment from the vertex in a triangle to the midpoint of the opposite side. Median = ( ) 2 = 7.5 Midpoint  The point that divides a line into two equal parts. Where M is the midpoint of AB. Noncollinear Not in the same line.
27 Where points A, B and D are noncollinear. Noncoplanar Not within the same plane. Obtuse angle An angle that has a measure of greater than 90 but less than 180. Obtuse triangle A triangle that has one obtuse angle. Octagon  An eightsided polygon. The sum of the angles is 1080.
28 Octahedron A solid figure with eight equilateral triangle faces. Examples: Orthocenter  The intersection point of the three altitudes of a triangle. Parallel lines Lines in the same plane that do not intersect.
29 suur suur Written as AB P XY. Parallelogram A quadrilateral with both pairs of opposite sides parallel. Pentagon  A fivesided polygon. The sum of the angles is 540. Perimeter  The distance around a figure.
30 The perimeter of this figure is: 2cm + 2cm + 3cm = 7cm. Perpendicular bisector A line, or line segment, that intersects a given line segment at its midpoint and forms right angles. suur Line XY is the perpendicular bisector of segment AB. Written as XY is the perpendicular bisector of AB. Perpendicular lines Lines that intersect to form right angles.
31 suur suur Line XY is perpendicular to line AB. Written as XY AB. Plane  A set of points that form a flat surface that extends without end in all directions. Pi  Written π ; it is the ratio of the circumference to the diameter of a circle. Circumference/Diameter. Also rounded to Point Generally represented by a dot, but have no size. Use capitol letters to name them. Polyhedron  A threedimensional solid that consists of polygons, usually joined at their sides.
32 Polygon  A closed plane figure that is formed by joining three or more line segments at their endpoints. Examples: Prism A solid figure that has two bases that are parallel, congruent polygons and with all other faces that are parallelograms. Examples: Pyramid A solid figure with a polygon base and with all other faces that are triangles that share a common vertex. Examples: Pythagorean Theorem  For a right triangle a 2 + b 2 = c 2, where a and b are the lengths of the triangle s legs and c is the length of the triangle s hypotenuse. Pythagorean Triples  A set of three whole numbers that can be side lengths of a right triangle. 3, 4 and 5, where c is the greatest number. Quadrilateral  A polygon with four sides. The sum of the angles is 360. Examples:
33 Radius A line segment that is drawn from one point on the circle to the center of the circle. Radius is AB. Ray A line segment that has one endpoint and goes on forever in only one direction. uuur Ray AB, written as AB. Reciprocal One of two numbers that have a product of 1. The reciprocal of x is 1 x. Examples: 2 is the reciprocal of is the reciprocal of 2 Rectangle  A quadrilateral with four right angles. The sum of the angles is 360. Examples:
34 Rectangular prism (1) A solid figure that with two bases that are rectangles and with all other faces that are parallelograms. (2) A prism in the shape of a rectangle. Examples: Reflection  The figure formed by flipping a geometric figure about a line to obtain a mirror image.
35 Regular polygon A polygon whose sides are equal and whose angles are equal. Examples: Rhombus A polygon with four congruent sides. The sum of the angles is 360. Examples: Right angle An angle whose measure is 90.
36 Right Prism A prism that has two special characteristics: all lateral edges are perpendicular to the bases and all lateral faces are rectangular. Right triangle  A triangle that has a right angle. Rotation Turning a geometric figure about a fixed point.
37 Sameside interior angles Interior angles on the same side of a transversal. Where 3 and 5, 4 and 6 are sameside interior angles. SAS (1) Suppose that we have two triangles ABC and DEF. If two sides and an angle of ABC are equal to two sides and an angle of DEF, then the triangle ABC is equal to the triangle DEF. The proof for the above is: Given: AC CD, BC CE. Prove: VABC VEDC Proof: Statement Reason AC CD Given BC CE Given ACB ECD Vertical Angles VABC VEDC SAS
38 (2) If the measures of two sides of a triangle are proportional to the measures of two corresponding sides of another triangle and the included angles are congruent, then the triangles are similar. 4 5 = 8 10 Scalene triangle A triangle with no congruent sides. Examples: Segment  Line segment AB is a part of line x between points A and B including these points.
39 Segment bisector Any line, segment or ray that intersects a segment at its midpoint. Line X is a segment bisector. Similar polygons Polygons that have the same shape, but not necessarily the same size.
40 Sine The ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle. sinb (sine of B ) = AC, where AC is the length of the opposite side and BC is the BC length of the hypotenuse. Skew lines  Lines are skew if they do not lie in the same plane. Slope of a line  The steepness of a line. Sphere  A solid figure that has all points on the surface the same distance from the center.
41 Square A quadrilateral with four right angles and four congruent sides. The sum of the angles is 360. Square prism  A solid figure that with bases that are squares and with all other faces that are parallelograms. SSS (1) If three sides of the triangle ABC are equal to three sides of the triangle DEF, then triangles ABC and DEF are equal. The proof for the above is: Given: AC CD, AB BD. Prove: VABC VDBC Proof: Statement Reason AC CD Given AB BD Given
42 BC CB Common Side VABC VDBC SSS (2) If the measures of the corresponding sides of two triangles are proportional, then the triangles are similar = = Supplementary Two angles are said to be supplementary if the sum of their measures is 180. Supplementary angles Two angles whose measure equals 180. m ACD + m DCB = = 180 Surface area The sum of all the areas of the surfaces of a solid figure.
43 Tangent (1) The ratio of the length of the side opposite an angle to the length of the side adjacent to the angle in a right triangle. tanb (tangent of B) = AC, where AC is the length of the opposite side and AB is the AB length of the adjacent side. (2) A line is tangent to a circle if it intersects the circle in exactly one point. suur AB is tangent to the circle at point C.
44 Tetrahedron A solid with four equilateral triangles as faces. Transformation  A change in size, shape, or position of a geometric figure. Translation When you move a geometric figure to a new position without turning or flipping it. Transversal A line that intersects two or more lines. Trapezoid A quadrilateral with exactly one pair of opposite sides parallel. The sum of the angles is 360. Examples:
45 Trigonometry Mathematics dealing with triangular measurement. Triangle  A threesided polygon. The sum of the angles is 180. Examples: Triangular prism A prism composed of two triangular faces and three parallelograms. Vertex The common endpoint of two rays that form an angle. Examples:
46 Vertex angle of an isosceles triangle The angle that is formed in the isosceles triangle where the two congruent sides (legs) meet. Also known as the angle opposite the base of the isosceles triangle. Vertical angles Angles of the same measure that form two intersecting lines. ACB and DCE are vertical angles. Vertices The points in a figure where the lines meet. Volume  The number of cubic units needed to occupy a given space
Centroid: The point of intersection of the three medians of a triangle. Centroid
Vocabulary Words Acute Triangles: A triangle with all acute angles. Examples 80 50 50 Angle: A figure formed by two noncollinear rays that have a common endpoint and are not opposite rays. Angle Bisector:
More informationGEOMETRY CONCEPT MAP. Suggested Sequence:
CONCEPT MAP GEOMETRY August 2011 Suggested Sequence: 1. Tools of Geometry 2. Reasoning and Proof 3. Parallel and Perpendicular Lines 4. Congruent Triangles 5. Relationships Within Triangles 6. Polygons
More informationAngles that are between parallel lines, but on opposite sides of a transversal.
GLOSSARY Appendix A Appendix A: Glossary Acute Angle An angle that measures less than 90. Acute Triangle Alternate Angles A triangle that has three acute angles. Angles that are between parallel lines,
More informationConjectures. Chapter 2. Chapter 3
Conjectures Chapter 2 C1 Linear Pair Conjecture If two angles form a linear pair, then the measures of the angles add up to 180. (Lesson 2.5) C2 Vertical Angles Conjecture If two angles are vertical
More informationConjectures for Geometry for Math 70 By I. L. Tse
Conjectures for Geometry for Math 70 By I. L. Tse Chapter Conjectures 1. Linear Pair Conjecture: If two angles form a linear pair, then the measure of the angles add up to 180. Vertical Angle Conjecture:
More informationGeometry Chapter 1 Vocabulary. coordinate  The real number that corresponds to a point on a line.
Chapter 1 Vocabulary coordinate  The real number that corresponds to a point on a line. point  Has no dimension. It is usually represented by a small dot. bisect  To divide into two congruent parts.
More informationChapter 1: Essentials of Geometry
Section Section Title 1.1 Identify Points, Lines, and Planes 1.2 Use Segments and Congruence 1.3 Use Midpoint and Distance Formulas Chapter 1: Essentials of Geometry Learning Targets I Can 1. Identify,
More informationTopics Covered on Geometry Placement Exam
Topics Covered on Geometry Placement Exam  Use segments and congruence  Use midpoint and distance formulas  Measure and classify angles  Describe angle pair relationships  Use parallel lines and transversals
More informationDEFINITIONS. Perpendicular Two lines are called perpendicular if they form a right angle.
DEFINITIONS Degree A degree is the 1 th part of a straight angle. 180 Right Angle A 90 angle is called a right angle. Perpendicular Two lines are called perpendicular if they form a right angle. Congruent
More informationDefinitions, Postulates and Theorems
Definitions, s and s Name: Definitions Complementary Angles Two angles whose measures have a sum of 90 o Supplementary Angles Two angles whose measures have a sum of 180 o A statement that can be proven
More informationAlgebra Geometry Glossary. 90 angle
lgebra Geometry Glossary 1) acute angle an angle less than 90 acute angle 90 angle 2) acute triangle a triangle where all angles are less than 90 3) adjacent angles angles that share a common leg Example:
More informationGeometry Course Summary Department: Math. Semester 1
Geometry Course Summary Department: Math Semester 1 Learning Objective #1 Geometry Basics Targets to Meet Learning Objective #1 Use inductive reasoning to make conclusions about mathematical patterns Give
More informationGEOMETRY 101* EVERYTHING YOU NEED TO KNOW ABOUT GEOMETRY TO PASS THE GHSGT!
GEOMETRY 101* EVERYTHING YOU NEED TO KNOW ABOUT GEOMETRY TO PASS THE GHSGT! FINDING THE DISTANCE BETWEEN TWO POINTS DISTANCE FORMULA (x₂x₁)²+(y₂y₁)² Find the distance between the points ( 3,2) and
More informationAngle  a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees
Angle  a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees Apex in a pyramid or cone, the vertex opposite the base; in
More information55 questions (multiple choice, check all that apply, and fill in the blank) The exam is worth 220 points.
Geometry Core Semester 1 Semester Exam Preparation Look back at the unit quizzes and diagnostics. Use the unit quizzes and diagnostics to determine which topics you need to review most carefully. The unit
More information56 questions (multiple choice, check all that apply, and fill in the blank) The exam is worth 224 points.
6.1.1 Review: Semester Review Study Sheet Geometry Core Sem 2 (S2495808) Semester Exam Preparation Look back at the unit quizzes and diagnostics. Use the unit quizzes and diagnostics to determine which
More informationChapter 8 Geometry We will discuss following concepts in this chapter.
Mat College Mathematics Updated on Nov 5, 009 Chapter 8 Geometry We will discuss following concepts in this chapter. Two Dimensional Geometry: Straight lines (parallel and perpendicular), Rays, Angles
More informationUnit 3: Triangle Bisectors and Quadrilaterals
Unit 3: Triangle Bisectors and Quadrilaterals Unit Objectives Identify triangle bisectors Compare measurements of a triangle Utilize the triangle inequality theorem Classify Polygons Apply the properties
More informationGeometry Regents Review
Name: Class: Date: Geometry Regents Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. If MNP VWX and PM is the shortest side of MNP, what is the shortest
More information0810ge. Geometry Regents Exam 0810
0810ge 1 In the diagram below, ABC XYZ. 3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. Which two statements identify
More informationWeek 1 Chapter 1: Fundamentals of Geometry. Week 2 Chapter 1: Fundamentals of Geometry. Week 3 Chapter 1: Fundamentals of Geometry Chapter 1 Test
Thinkwell s Homeschool Geometry Course Lesson Plan: 34 weeks Welcome to Thinkwell s Homeschool Geometry! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson plan
More information2. If C is the midpoint of AB and B is the midpoint of AE, can you say that the measure of AC is 1/4 the measure of AE?
MATH 206  Midterm Exam 2 Practice Exam Solutions 1. Show two rays in the same plane that intersect at more than one point. Rays AB and BA intersect at all points from A to B. 2. If C is the midpoint of
More informationGEOMETRY FINAL EXAM REVIEW
GEOMETRY FINL EXM REVIEW I. MTHING reflexive. a(b + c) = ab + ac transitive. If a = b & b = c, then a = c. symmetric. If lies between and, then + =. substitution. If a = b, then b = a. distributive E.
More informationGeometry Enduring Understandings Students will understand 1. that all circles are similar.
High School  Circles Essential Questions: 1. Why are geometry and geometric figures relevant and important? 2. How can geometric ideas be communicated using a variety of representations? ******(i.e maps,
More informationof surface, 569571, 576577, 578581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433
Absolute Value and arithmetic, 730733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property
More informationABC is the triangle with vertices at points A, B and C
Euclidean Geometry Review This is a brief review of Plane Euclidean Geometry  symbols, definitions, and theorems. Part I: The following are symbols commonly used in geometry: AB is the segment from the
More informationGeometry Chapter 1. 1.1 Point (pt) 1.1 Coplanar (1.1) 1.1 Space (1.1) 1.2 Line Segment (seg) 1.2 Measure of a Segment
Geometry Chapter 1 Section Term 1.1 Point (pt) Definition A location. It is drawn as a dot, and named with a capital letter. It has no shape or size. undefined term 1.1 Line A line is made up of points
More informationGeometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.
Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know
More informationCSU Fresno Problem Solving Session. Geometry, 17 March 2012
CSU Fresno Problem Solving Session Problem Solving Sessions website: http://zimmer.csufresno.edu/ mnogin/mfdprep.html Math Field Day date: Saturday, April 21, 2012 Math Field Day website: http://www.csufresno.edu/math/news
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Tuesday, August 13, 2013 8:30 to 11:30 a.m., only.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Tuesday, August 13, 2013 8:30 to 11:30 a.m., only Student Name: School Name: The possession or use of any communications
More informationSHAPE, SPACE AND MEASURES
SHAPE, SPACE AND MEASURES Pupils should be taught to: Use accurately the vocabulary, notation and labelling conventions for lines, angles and shapes; distinguish between conventions, facts, definitions
More informationShape Dictionary YR to Y6
Shape Dictionary YR to Y6 Guidance Notes The terms in this dictionary are taken from the booklet Mathematical Vocabulary produced by the National Numeracy Strategy. Children need to understand and use
More informationNew York State Student Learning Objective: Regents Geometry
New York State Student Learning Objective: Regents Geometry All SLOs MUST include the following basic components: Population These are the students assigned to the course section(s) in this SLO all students
More informationalternate interior angles
alternate interior angles two nonadjacent angles that lie on the opposite sides of a transversal between two lines that the transversal intersects (a description of the location of the angles); alternate
More informationChapters 6 and 7 Notes: Circles, Locus and Concurrence
Chapters 6 and 7 Notes: Circles, Locus and Concurrence IMPORTANT TERMS AND DEFINITIONS A circle is the set of all points in a plane that are at a fixed distance from a given point known as the center of
More informationConjunction is true when both parts of the statement are true. (p is true, q is true. p^q is true)
Mathematical Sentence  a sentence that states a fact or complete idea Open sentence contains a variable Closed sentence can be judged either true or false Truth value true/false Negation not (~) * Statement
More informationChapter 6 Notes: Circles
Chapter 6 Notes: Circles IMPORTANT TERMS AND DEFINITIONS A circle is the set of all points in a plane that are at a fixed distance from a given point known as the center of the circle. Any line segment
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 16, 2012 8:30 to 11:30 a.m.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, August 16, 2012 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of your
More informationGeometry, Final Review Packet
Name: Geometry, Final Review Packet I. Vocabulary match each word on the left to its definition on the right. Word Letter Definition Acute angle A. Meeting at a point Angle bisector B. An angle with a
More informationSelected practice exam solutions (part 5, item 2) (MAT 360)
Selected practice exam solutions (part 5, item ) (MAT 360) Harder 8,91,9,94(smaller should be replaced by greater )95,103,109,140,160,(178,179,180,181 this is really one problem),188,193,194,195 8. On
More informationFlorida Geometry EOC Assessment Study Guide
Florida Geometry EOC Assessment Study Guide The Florida Geometry End of Course Assessment is computerbased. During testing students will have access to the Algebra I/Geometry EOC Assessments Reference
More informationGEOMETRY COMMON CORE STANDARDS
1st Nine Weeks Experiment with transformations in the plane GCO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point,
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name:
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, August 18, 2010 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of
More informationGeometry EOC Practice Test #2
Class: Date: Geometry EOC Practice Test #2 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Rebecca is loading medical supply boxes into a crate. Each supply
More informationGeometry and Measurement
The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for
More information10.4 Surface Area of Prisms, Cylinders, Pyramids, Cones, and Spheres. 10.4 Day 1 Warmup
10.4 Surface Area of Prisms, Cylinders, Pyramids, Cones, and Spheres 10.4 Day 1 Warmup 1. Which identifies the figure? A rectangular pyramid B rectangular prism C cube D square pyramid 3. A polyhedron
More informationabscissa The horizontal or xcoordinate of a twodimensional coordinate system.
NYS Mathematics Glossary* Geometry (*This glossary has been amended from the full SED ommencement Level Glossary of Mathematical Terms (available at http://www.emsc.nysed.gov/ciai/mst/math/glossary/home.html)
More information2006 Geometry Form A Page 1
2006 Geometry Form Page 1 1. he hypotenuse of a right triangle is 12" long, and one of the acute angles measures 30 degrees. he length of the shorter leg must be: () 4 3 inches () 6 3 inches () 5 inches
More informationGeometry: Euclidean. Through a given external point there is at most one line parallel to a
Geometry: Euclidean MATH 3120, Spring 2016 The proofs of theorems below can be proven using the SMSG postulates and the neutral geometry theorems provided in the previous section. In the SMSG axiom list,
More informationGeometry. Higher Mathematics Courses 69. Geometry
The fundamental purpose of the course is to formalize and extend students geometric experiences from the middle grades. This course includes standards from the conceptual categories of and Statistics and
More informationChapter 3.1 Angles. Geometry. Objectives: Define what an angle is. Define the parts of an angle.
Chapter 3.1 Angles Define what an angle is. Define the parts of an angle. Recall our definition for a ray. A ray is a line segment with a definite starting point and extends into infinity in only one direction.
More informationGlossary. 134 GLOSSARY Discovering Geometry Teaching and Worksheet Masters 2003 Key Curriculum Press
Glossary acute angle An angle whose measure is less than 90. (Lesson 1.3) acute triangle A triangle with three acute angles. (Lesson 1.5) adjacent angles Two nonoverlapping angles with a common vertex
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 13, 2009 8:30 to 11:30 a.m., only.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, August 13, 2009 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of your
More informationPOTENTIAL REASONS: Definition of Congruence:
Sec 6 CC Geometry Triangle Pros Name: POTENTIAL REASONS: Definition Congruence: Having the exact same size and shape and there by having the exact same measures. Definition Midpoint: The point that divides
More informationSum of the interior angles of a nsided Polygon = (n2) 180
5.1 Interior angles of a polygon Sides 3 4 5 6 n Number of Triangles 1 Sum of interiorangles 180 Sum of the interior angles of a nsided Polygon = (n2) 180 What you need to know: How to use the formula
More informationReview for Final  Geometry B
Review for Final  Geometry B Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A model is made of a car. The car is 4 meters long and the model is 7 centimeters
More informationFinal Review Geometry A Fall Semester
Final Review Geometry Fall Semester Multiple Response Identify one or more choices that best complete the statement or answer the question. 1. Which graph shows a triangle and its reflection image over
More information1. A student followed the given steps below to complete a construction. Which type of construction is best represented by the steps given above?
1. A student followed the given steps below to complete a construction. Step 1: Place the compass on one endpoint of the line segment. Step 2: Extend the compass from the chosen endpoint so that the width
More informationSolutions to Practice Problems
Higher Geometry Final Exam Tues Dec 11, 57:30 pm Practice Problems (1) Know the following definitions, statements of theorems, properties from the notes: congruent, triangle, quadrilateral, isosceles
More informationSOLVED PROBLEMS REVIEW COORDINATE GEOMETRY. 2.1 Use the slopes, distances, line equations to verify your guesses
CHAPTER SOLVED PROBLEMS REVIEW COORDINATE GEOMETRY For the review sessions, I will try to post some of the solved homework since I find that at this age both taking notes and proofs are still a burgeoning
More informationHonors Geometry Final Exam Study Guide
20112012 Honors Geometry Final Exam Study Guide Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In each pair of triangles, parts are congruent as marked.
More informationCurriculum Map by Block Geometry Mapping for Math Block Testing 20072008. August 20 to August 24 Review concepts from previous grades.
Curriculum Map by Geometry Mapping for Math Testing 20072008 Pre s 1 August 20 to August 24 Review concepts from previous grades. August 27 to September 28 (Assessment to be completed by September 28)
More informationComprehensive Benchmark Assessment Series
Test ID #1910631 Comprehensive Benchmark Assessment Series Instructions: It is time to begin. The scores of this test will help teachers plan lessons. Carefully, read each item in the test booklet. Select
More information39 Symmetry of Plane Figures
39 Symmetry of Plane Figures In this section, we are interested in the symmetric properties of plane figures. By a symmetry of a plane figure we mean a motion of the plane that moves the figure so that
More informationA convex polygon is a polygon such that no line containing a side of the polygon will contain a point in the interior of the polygon.
hapter 7 Polygons A polygon can be described by two conditions: 1. No two segments with a common endpoint are collinear. 2. Each segment intersects exactly two other segments, but only on the endpoints.
More informationTips for doing well on the final exam
Name Date Block The final exam for Geometry will take place on May 31 and June 1. The following study guide will help you prepare for the exam. Everything we have covered is fair game. As a reminder, topics
More informationMENSURATION. Definition
MENSURATION Definition 1. Mensuration : It is a branch of mathematics which deals with the lengths of lines, areas of surfaces and volumes of solids. 2. Plane Mensuration : It deals with the sides, perimeters
More information/27 Intro to Geometry Review
/27 Intro to Geometry Review 1. An acute has a measure of. 2. A right has a measure of. 3. An obtuse has a measure of. 13. Two supplementary angles are in ratio 11:7. Find the measure of each. 14. In the
More informationArea. Area Overview. Define: Area:
Define: Area: Area Overview Kite: Parallelogram: Rectangle: Rhombus: Square: Trapezoid: Postulates/Theorems: Every closed region has an area. If closed figures are congruent, then their areas are equal.
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Wednesday, June 19, :15 a.m. to 12:15 p.m., only.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, June 19, 2013 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any
More informationUnit 8. Quadrilaterals. Academic Geometry Spring Name Teacher Period
Unit 8 Quadrilaterals Academic Geometry Spring 2014 Name Teacher Period 1 2 3 Unit 8 at a glance Quadrilaterals This unit focuses on revisiting prior knowledge of polygons and extends to formulate, test,
More informationGeometry Honors: Extending 2 Dimensions into 3 Dimensions. Unit Overview. Student Focus. Semester 2, Unit 5: Activity 30. Resources: Online Resources:
Geometry Honors: Extending 2 Dimensions into 3 Dimensions Semester 2, Unit 5: Activity 30 Resources: SpringBoard Geometry Online Resources: Geometry Springboard Text Unit Overview In this unit students
More informationIntermediate Math Circles October 10, 2012 Geometry I: Angles
Intermediate Math Circles October 10, 2012 Geometry I: Angles Over the next four weeks, we will look at several geometry topics. Some of the topics may be familiar to you while others, for most of you,
More information100 Math Facts 6 th Grade
100 Math Facts 6 th Grade Name 1. SUM: What is the answer to an addition problem called? (N. 2.1) 2. DIFFERENCE: What is the answer to a subtraction problem called? (N. 2.1) 3. PRODUCT: What is the answer
More information104 Inscribed Angles. Find each measure. 1.
Find each measure. 1. 3. 2. intercepted arc. 30 Here, is a semicircle. So, intercepted arc. So, 66 4. SCIENCE The diagram shows how light bends in a raindrop to make the colors of the rainbow. If, what
More informationPERIMETER AND AREA. In this unit, we will develop and apply the formulas for the perimeter and area of various twodimensional figures.
PERIMETER AND AREA In this unit, we will develop and apply the formulas for the perimeter and area of various twodimensional figures. Perimeter Perimeter The perimeter of a polygon, denoted by P, is the
More informationTeaching Mathematics Vocabulary Using HandsOn Activities From an MSP Grant Summer Institute
Teaching Mathematics Vocabulary Using HandsOn Activities From an MSP Grant Summer Institute Dr. Carroll G. Wells (Coauthors: Dr. Randy Bouldin, Dr. Ben Hutchinson, Dr. Candice McQueen) Department of
More informationMath 366 Definitions and Theorems
Math 366 Definitions and Theorems Chapter 11 In geometry, a line has no thickness, and it extends forever in two directions. It is determined by two points. Collinear points are points on the same line.
More informationCongruence. Set 5: Bisectors, Medians, and Altitudes Instruction. Student Activities Overview and Answer Key
Instruction Goal: To provide opportunities for students to develop concepts and skills related to identifying and constructing angle bisectors, perpendicular bisectors, medians, altitudes, incenters, circumcenters,
More informationSandia High School Geometry Second Semester FINAL EXAM. Mark the letter to the single, correct (or most accurate) answer to each problem.
Sandia High School Geometry Second Semester FINL EXM Name: Mark the letter to the single, correct (or most accurate) answer to each problem.. What is the value of in the triangle on the right?.. 6. D.
More informationLesson 1.1 Building Blocks of Geometry
Lesson 1.1 Building Blocks of Geometry For Exercises 1 7, complete each statement. S 3 cm. 1. The midpoint of Q is. N S Q 2. NQ. 3. nother name for NS is. 4. S is the of SQ. 5. is the midpoint of. 6. NS.
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 13, 2015 8:30 to 11:30 a.m., only.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, August 13, 2015 8:30 to 11:30 a.m., only Student Name: School Name: The possession or use of any communications
More informationA. 3y = 2x + 1. y = x + 3. y = x  3. D. 2y = 3x + 3
Name: Geometry Regents Prep Spring 2010 Assignment 1. Which is an equation of the line that passes through the point (1, 4) and has a slope of 3? A. y = 3x + 4 B. y = x + 4 C. y = 3x  1 D. y = 3x + 1
More information1. absolute value : The distance from a point on the number line to zero Example:  4 = 4; 4 = 4
1. absolute value : The distance from a point on the number line to zero  4 = 4; 4 = 4 2. addition property of opposites : The property which states that the sum of a number and its opposite is zero 5
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Wednesday, January 28, 2015 9:15 a.m. to 12:15 p.m.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, January 28, 2015 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Tuesday, January 26, 2016 1:15 to 4:15 p.m., only.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Tuesday, January 26, 2016 1:15 to 4:15 p.m., only Student Name: School Name: The possession or use of any communications
More information11.3 Curves, Polygons and Symmetry
11.3 Curves, Polygons and Symmetry Polygons Simple Definition A shape is simple if it doesn t cross itself, except maybe at the endpoints. Closed Definition A shape is closed if the endpoints meet. Polygon
More informationMensuration Introduction
Mensuration Introduction Mensuration is the process of measuring and calculating with measurements. Mensuration deals with the determination of length, area, or volume Measurement Types The basic measurement
More informationStudent Name: Teacher: Date: District: MiamiDade County Public Schools. Assessment: 9_12 Mathematics Geometry Exam 1
Student Name: Teacher: Date: District: MiamiDade County Public Schools Assessment: 9_12 Mathematics Geometry Exam 1 Description: GEO Topic 1 Test: Tools of Geometry Form: 201 1. A student followed the
More information2, 3 1, 3 3, 2 3, 2. 3 Exploring Geometry Construction: Copy &: Bisect Segments & Angles Measure & Classify Angles, Describe Angle Pair Relationship
Geometry Honors Semester McDougal 014015 Day Concepts Lesson Benchmark(s) Complexity Level 1 Identify Points, Lines, & Planes 11 MAFS.91.GCO.1.1 1 Use Segments & Congruence, Use Midpoint & 1/1 MAFS.91.GCO.1.1,
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, January 24, 2013 9:15 a.m. to 12:15 p.m.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, January 24, 2013 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any
More information2nd Semester Geometry Final Exam Review
Class: Date: 2nd Semester Geometry Final Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The owner of an amusement park created a circular
More informationAdditional Topics in Math
Chapter Additional Topics in Math In addition to the questions in Heart of Algebra, Problem Solving and Data Analysis, and Passport to Advanced Math, the SAT Math Test includes several questions that are
More information114 Areas of Regular Polygons and Composite Figures
1. In the figure, square ABDC is inscribed in F. Identify the center, a radius, an apothem, and a central angle of the polygon. Then find the measure of a central angle. Center: point F, radius:, apothem:,
More informationPostulate 17 The area of a square is the square of the length of a. Postulate 18 If two figures are congruent, then they have the same.
Chapter 11: Areas of Plane Figures (page 422) 111: Areas of Rectangles (page 423) Rectangle Rectangular Region Area is measured in units. Postulate 17 The area of a square is the square of the length
More information4.1 Euclidean Parallelism, Existence of Rectangles
Chapter 4 Euclidean Geometry Based on previous 15 axioms, The parallel postulate for Euclidean geometry is added in this chapter. 4.1 Euclidean Parallelism, Existence of Rectangles Definition 4.1 Two distinct
More informationMath 531, Exam 1 Information.
Math 531, Exam 1 Information. 9/21/11, LC 310, 9:059:55. Exam 1 will be based on: Sections 1A  1F. The corresponding assigned homework problems (see http://www.math.sc.edu/ boylan/sccourses/531fa11/531.html)
More informationMath Dictionary Terms for Grades 45:
Math Dictionary Terms for Grades 45: A Acute  an angle less than 90 Addend  one of the numbers being added in an addition problem Addition  combining quantities Algebra  a strand of mathematics in
More information*1. Derive formulas for the area of right triangles and parallelograms by comparing with the area of rectangles.
Students: 1. Students understand and compute volumes and areas of simple objects. *1. Derive formulas for the area of right triangles and parallelograms by comparing with the area of rectangles. Review
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, January 26, 2012 9:15 a.m. to 12:15 p.m.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXMINTION GEOMETRY Thursday, January 26, 2012 9:15 a.m. to 12:15 p.m., only Student Name: School Name: Print your name and the name
More information