Angle Vocabulary, Complementary & Supplementary Angles
|
|
|
- Bryce Ellis
- 7 years ago
- Views:
Transcription
1 ngle Vocabulary, omplementary & Supplementary ngles Review 1 1. What is the definition of an acute angle? 2. Name the angle shown. 3. What is the definition of complimentary angles? 4. What is the definition of supplementary angles? 5. Sketch and label a right angle with vertex X. 6. How many different angles can be found in the diagram? M H T
2 ngle Vocabulary, omplementary & Supplementary ngles Review 2 1. What is the definition of an obtuse angle? 2. Name the angle shown three different ways. 3. Give an example of angle measurements that are supplementary, Explain why your choices are supplementary. 4. is a right angle. What is the value of x? 55 x 5. If an angle measures 30, what is its comnplement? 6. Sketch and label a straight angle with vertex X.
3 ngle Vocabulary, omplementary & Supplementary ngles Review 3 1. Explain the difference between right angles and straight angles. 2. If an angle measure 34, a) What is the measure of its complement? b) What is the measure of its supplement? 3. Give an example of two angle measurements that are complementary. Explain why your choices are complementary. 4. is a straight angle. What is the value of x? 100 x 5. What is the measure of VYZ? Z V X Y W 6. lassify XYZ in the diagram above.
4 ngle Vocabulary, omplementary & Supplementary ngles Review 4 1. What does it mean when we say that two angles are congruent? 2. What is the measure of? For each set of angles, label if they are complementary, supplementary, or neither a) 115 and 65 b) 45 and 45 c) 135 and 85 d) 75 and 15 e) 109 and lassify each angle: a) F c) FE b) F d) F F E 5. Why is it unclear to refer to V in the diagram? 6. Two congruent angles are complementary to each other. What is the measure of each angle? X Y V Z
5 ngle Vocabulary, omplementary & Supplementary ngles Quiz 1. Which pair of angle measurements would be considered complementary? ) 75 and 25 ) 65 and 115 ) 55 and 35 ) 45 and What is the measurement of angle x? x If an angle measures 20 a) What is its complement? b) What is its supplement? 4. a) What is the measure of GF? b) What is the measure of FG? G c) What is the measure of G? F E 5. Two or more angles with the same measure are called angles. 6. Two congruent angles are supplementary to each other. What is the measure of each angle? 7. Name three angles with as the vertex.
6 ngle Vocabulary, omplementary & Supplementary ngles nswers Review 1 nswers 1) n angle whose measure is between 0 and 90. 2) or or 3) Two angles with a sum of 90. 4) Two angles with a sum of ) X 6) 3 Review 2 nswers 1) n angle whose measure is between 0 and 90. 2) or or 3)nswers may vary. Example: 100 and 80 because = 180 4) 90 5) 60 6) X Review 3 nswers 1) Right angles measure 90 and straight angles measure ) a) 56 b) 146 3) nswers may vary. Example: 40 and 50 because = 90. 4) 80 5) 80 6) acute
7 ngle Vocabulary, omplementary & Supplementary ngles Review 4 nswers 1) They are equal in measure. 2) 35 3) a) Supplementary b) omplementary c) Neither d) omplementary e) Supplementary 4) a) right b) acute c) straight d) obtuse 5) There are three angles with vertex V. 6) 45 Quiz nswers 1). 55 and 35 2) 115 3) a) 70 b) 160 4) a) 90 b) 90 c) 90 5) congruent 6) 90 7) a) b) c)
3.1. Angle Pairs. What s Your Angle? Angle Pairs. ACTIVITY 3.1 Investigative. Activity Focus Measuring angles Angle pairs
SUGGESTED LEARNING STRATEGIES: Think/Pair/Share, Use Manipulatives Two rays with a common endpoint form an angle. The common endpoint is called the vertex. You can use a protractor to draw and measure
Chapter 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.
A summary of definitions, postulates, algebra rules, and theorems that are often used in geometry proofs:
summary of definitions, postulates, algebra rules, and theorems that are often used in geometry proofs: efinitions: efinition of mid-point and segment bisector M If a line intersects another line segment
Classifying Quadrilaterals
1 lassifying Quadrilaterals Identify and sort quadrilaterals. 1. Which of these are parallelograms?,, quadrilateral is a closed shape with 4 straight sides. trapezoid has exactly 1 pair of parallel sides.
Geometry Review Flash Cards
point is like a star in the night sky. However, unlike stars, geometric points have no size. Think of them as being so small that they take up zero amount of space. point may be represented by a dot on
Lesson 17. Introduction to Geometry. Objectives
Student Name: Date: Contact Person Name: Phone Number: Lesson 17 Introduction to Geometry Objectives Understand the definitions of points, lines, rays, line segments Classify angles and certain relationships
GEOMETRIC FIGURES, AREAS, AND VOLUMES
HPTER GEOMETRI FIGURES, RES, N VOLUMES carpenter is building a deck on the back of a house. s he works, he follows a plan that he made in the form of a drawing or blueprint. His blueprint is a model of
Final 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
13.1 Lines, Rays, and Angles
? Name Geometry and Measurement 4.6. 13.1 Lines, Rays, and ngles Essential Question How can you identify and draw points, lines, line segments, rays, and angles? MHEMIL PROEE 4.1., 4.1.E Unlock the Problem
2.1. Inductive Reasoning EXAMPLE A
CONDENSED LESSON 2.1 Inductive Reasoning In this lesson you will Learn how inductive reasoning is used in science and mathematics Use inductive reasoning to make conjectures about sequences of numbers
Chapter 5.1 and 5.2 Triangles
Chapter 5.1 and 5.2 Triangles Students will classify triangles. Students will define and use the Angle Sum Theorem. A triangle is formed when three non-collinear points are connected by segments. Each
This is a tentative schedule, date may change. Please be sure to write down homework assignments daily.
Mon Tue Wed Thu Fri Aug 26 Aug 27 Aug 28 Aug 29 Aug 30 Introductions, Expectations, Course Outline and Carnegie Review summer packet Topic: (1-1) Points, Lines, & Planes Topic: (1-2) Segment Measure Quiz
Geometry: Unit 1 Vocabulary TERM DEFINITION GEOMETRIC FIGURE. Cannot be defined by using other figures.
Geometry: Unit 1 Vocabulary 1.1 Undefined terms Cannot be defined by using other figures. Point A specific location. It has no dimension and is represented by a dot. Line Plane A connected straight path.
Geometry 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
2. 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
GEOMETRY. Chapter 1: Foundations for Geometry. Name: Teacher: Pd:
GEOMETRY Chapter 1: Foundations for Geometry Name: Teacher: Pd: Table of Contents Lesson 1.1: SWBAT: Identify, name, and draw points, lines, segments, rays, and planes. Pgs: 1-4 Lesson 1.2: SWBAT: Use
Measure and classify angles. Identify and use congruent angles and the bisector of an angle. big is a degree? One of the first references to the
ngle Measure Vocabulary degree ray opposite rays angle sides vertex interior exterior right angle acute angle obtuse angle angle bisector tudy ip eading Math Opposite rays are also known as a straight
6.1 Basic Right Triangle Trigonometry
6.1 Basic Right Triangle Trigonometry MEASURING ANGLES IN RADIANS First, let s introduce the units you will be using to measure angles, radians. A radian is a unit of measurement defined as the angle at
Intermediate 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,
Lesson 6 Supplementary and Complementary Angles
6-1 Lesson 6 Supplementary and Complementary Angles Greek Letters Figure 1 a b d g a = alpha b = beta g = gamma d = delta Adjacent Angles Angles that share a common side and have the same origin are called
The Half-Circle Protractor
The Half-ircle Protractor Objectives To guide students as they classify angles as acute, right, obtuse, straight, and reflex; and to provide practice using a half-circle protractor to measure and draw
1. 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
Geometry 1. Unit 3: Perpendicular and Parallel Lines
Geometry 1 Unit 3: Perpendicular and Parallel Lines Geometry 1 Unit 3 3.1 Lines and Angles Lines and Angles Parallel Lines Parallel lines are lines that are coplanar and do not intersect. Some examples
MATH STUDENT BOOK. 8th Grade Unit 6
MATH STUDENT BOOK 8th Grade Unit 6 Unit 6 Measurement Math 806 Measurement Introduction 3 1. Angle Measures and Circles 5 Classify and Measure Angles 5 Perpendicular and Parallel Lines, Part 1 12 Perpendicular
/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
Geometry 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
BLoCK 1 ~ LInes And AngLes
BLoCK ~ LInes And AngLes angle pairs Lesson MeasUring and naming angles -------------------------------------- 3 Lesson classifying angles -------------------------------------------------- 8 Explore!
Classifying Lesson 1 Triangles
Classifying Lesson 1 acute angle congruent scalene Classifying VOCABULARY right angle isosceles Venn diagram obtuse angle equilateral You classify many things around you. For example, you might choose
Lesson 2: Circles, Chords, Diameters, and Their Relationships
Circles, Chords, Diameters, and Their Relationships Student Outcomes Identify the relationships between the diameters of a circle and other chords of the circle. Lesson Notes Students are asked to construct
Geometry Progress Ladder
Geometry Progress Ladder Maths Makes Sense Foundation End-of-year objectives page 2 Maths Makes Sense 1 2 End-of-block objectives page 3 Maths Makes Sense 3 4 End-of-block objectives page 4 Maths Makes
Name: Chapter 4 Guided Notes: Congruent Triangles. Chapter Start Date: Chapter End Date: Test Day/Date: Geometry Fall Semester
Name: Chapter 4 Guided Notes: Congruent Triangles Chapter Start Date: Chapter End Date: Test Day/Date: Geometry Fall Semester CH. 4 Guided Notes, page 2 4.1 Apply Triangle Sum Properties triangle polygon
Unit 8 Angles, 2D and 3D shapes, perimeter and area
Unit 8 Angles, 2D and 3D shapes, perimeter and area Five daily lessons Year 6 Spring term Recognise and estimate angles. Use a protractor to measure and draw acute and obtuse angles to Page 111 the nearest
Algebra 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:
Angle: An angle is the union of two line segments (or two rays) with a common endpoint, called a vertex.
MATH 008: Angles Angle: An angle is the union of two line segents (or two rays) with a coon endpoint, called a vertex. A B C α Adjacent angles: Adjacent angles are two angles that share a vertex, have
Lesson 18: Looking More Carefully at Parallel Lines
Student Outcomes Students learn to construct a line parallel to a given line through a point not on that line using a rotation by 180. They learn how to prove the alternate interior angles theorem using
The Triangle and its Properties
THE TRINGLE ND ITS PROPERTIES 113 The Triangle and its Properties Chapter 6 6.1 INTRODUCTION triangle, you have seen, is a simple closed curve made of three line segments. It has three vertices, three
Duplicating Segments and Angles
CONDENSED LESSON 3.1 Duplicating Segments and ngles In this lesson, you Learn what it means to create a geometric construction Duplicate a segment by using a straightedge and a compass and by using patty
Geo 9 1 Circles 9-1 Basic Terms associated with Circles and Spheres. Radius. Chord. Secant. Diameter. Tangent. Point of Tangency.
Geo 9 1 ircles 9-1 asic Terms associated with ircles and Spheres ircle Given Point = Given distance = Radius hord Secant iameter Tangent Point of Tangenc Sphere Label ccordingl: ongruent circles or spheres
Lesson 1 Section 2.5 Angle Relationships
Creator: Heather McNeill Grade: 10 th grade Course: Geometry Honors Length: 50 minutes Lesson 1 Section 2.5 Angle Relationships 1. Prior Knowledge, Skills, and Dispositions: In this lesson, students should
Parallel and Perpendicular Lines
Trinity University Digital Commons @ Trinity Understanding by Design: Complete Collection Understanding by Design Summer 6-12-2014 Parallel and Perpendicular Lines Danielle R. Kendrick Trinity University,
11.3 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
Scaffolding Task: Angle Tangle
Fourth Grade Mathematics Unit Scaffolding Task: Angle Tangle STANDARDS FOR MATHEMATICAL CONTENT MCC4.MD.5. Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint,
Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: lass: _ ate: _ I: SSS Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Given the lengths marked on the figure and that bisects E, use SSS to explain
Incenter Circumcenter
TRIANGLE: Centers: Incenter Incenter is the center of the inscribed circle (incircle) of the triangle, it is the point of intersection of the angle bisectors of the triangle. The radius of incircle is
The 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
Three-Dimensional Figures or Space Figures. Rectangular Prism Cylinder Cone Sphere. Two-Dimensional Figures or Plane Figures
SHAPE NAMES Three-Dimensional Figures or Space Figures Rectangular Prism Cylinder Cone Sphere Two-Dimensional Figures or Plane Figures Square Rectangle Triangle Circle Name each shape. [triangle] [cone]
Preparation Prepare a set of standard triangle shapes for each student. The shapes are found in the Guess My Rule Cards handout.
Classifying Triangles Student Probe How are triangles A, B, and C alike? How are triangles A, B, and C different? A B C Answer: They are alike because they each have 3 sides and 3 angles. They are different
Special Segments in Triangles
HPTER 10 Special Segments in Triangles c GOL Identify the altitudes, medians, and angle bisectors in a triangle. You will need a protractor a ruler Learn about the Math Every triangle has three bases and
1.1 Identify Points, Lines, and Planes
1.1 Identify Points, Lines, and Planes Objective: Name and sketch geometric figures. Key Vocabulary Undefined terms - These words do not have formal definitions, but there is agreement aboutwhat they mean.
Angles and Quadrants. Angle Relationships and Degree Measurement. Chapter 7: Trigonometry
Chapter 7: Trigonometry Trigonometry is the study of angles and how they can be used as a means of indirect measurement, that is, the measurement of a distance where it is not practical or even possible
The Geometry of Piles of Salt Thinking Deeply About Simple Things
The Geometry of Piles of Salt Thinking Deeply About Simple Things PCMI SSTP Tuesday, July 15 th, 2008 By Troy Jones Willowcreek Middle School Important Terms (the word line may be replaced by the word
Level 1 - Maths Targets TARGETS. With support, I can show my work using objects or pictures 12. I can order numbers to 10 3
Ma Data Hling: Interpreting Processing representing Ma Shape, space measures: position shape Written Mental method s Operations relationship s between them Fractio ns Number s the Ma1 Using Str Levels
Triangle Similarity: AA, SSS, SAS Quiz
Name: lass: ate: I: Triangle Similarity:, SSS, SS Quiz Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Explain why the triangles are similar and write a
GEOMETRY. Constructions OBJECTIVE #: G.CO.12
GEOMETRY Constructions OBJECTIVE #: G.CO.12 OBJECTIVE Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic
Selected 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
37 Basic Geometric Shapes and Figures
37 Basic Geometric Shapes and Figures In this section we discuss basic geometric shapes and figures such as points, lines, line segments, planes, angles, triangles, and quadrilaterals. The three pillars
Angle Relationships in Parallel Lines and Triangles?
ngle Relationships in Parallel Lines and Triangles? MOUL 11 LSSON 11.1 Parallel Lines ut by a Transversal OMMON OR SSNTIL QUSTION How can you use angle relationships in parallel lines and triangles to
SPRING UNIT 14. second half. Line symmetry and reflection. Measuring angles. Naming and estimating angles. Drawing angles
PART SPRING second half SHAPE AND SPACE SECTION Line symmetry and reflection SECTION Measuring angles SECTION Naming and estimating angles SECTION Drawing angles SECTION 5 Calculations involving angles
1-1. Nets and Drawings for Visualizing Geometry. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary
1-1 Nets and Drawings for Visualizing Geometry Vocabulary Review Identify each figure as two-dimensional or three-dimensional. 1. 2. 3. three-dimensional two-dimensional three-dimensional Vocabulary uilder
Lesson 3.1 Duplicating Segments and Angles
Lesson 3.1 Duplicating Segments and ngles In Exercises 1 3, use the segments and angles below. Q R S 1. Using only a compass and straightedge, duplicate each segment and angle. There is an arc in each
" Angles ABCand DEFare congruent
Collinear points a) determine a plane d) are vertices of a triangle b) are points of a circle c) are coplanar 2. Different angles that share a common vertex point cannot a) share a common angle side! b)
Pythagoras Theorem. Page I can... 1... identify and label right-angled triangles. 2... explain Pythagoras Theorem. 4... calculate the hypotenuse
Pythagoras Theorem Page I can... 1... identify and label right-angled triangles 2... eplain Pythagoras Theorem 4... calculate the hypotenuse 5... calculate a shorter side 6... determine whether a triangle
Notes on Congruence 1
ongruence-1 Notes on ongruence 1 xiom 1 (-1). If and are distinct points and if is any point, then for each ray r emanating from there is a unique point on r such that =. xiom 2 (-2). If = and = F, then
Lesson 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.
Which two rectangles fit together, without overlapping, to make a square?
SHAPE level 4 questions 1. Here are six rectangles on a grid. A B C D E F Which two rectangles fit together, without overlapping, to make a square?... and... International School of Madrid 1 2. Emily has
Unit 6 Direction and angle
Unit 6 Direction and angle Three daily lessons Year 4 Spring term Unit Objectives Year 4 Recognise positions and directions: e.g. describe and find the Page 108 position of a point on a grid of squares
Geometry: Classifying, Identifying, and Constructing Triangles
Geometry: Classifying, Identifying, and Constructing Triangles Lesson Objectives Teacher's Notes Lesson Notes 1) Identify acute, right, and obtuse triangles. 2) Identify scalene, isosceles, equilateral
END OF COURSE GEOMETRY CORE 1
SESSION: 24 PE: 1 5/5/04 13:29 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 VIRINI STNRS O ERNIN SSESSMENTS Spring 2004 Released Test EN O OURSE EOMETRY ORE 1 Property
Right Triangles 4 A = 144 A = 16 12 5 A = 64
Right Triangles If I looked at enough right triangles and experimented a little, I might eventually begin to notice a relationship developing if I were to construct squares formed by the legs of a right
Lesson 13: Angle Sum of a Triangle
Student Outcomes Students know the angle sum theorem for triangles; the sum of the interior angles of a triangle is always 180. Students present informal arguments to draw conclusions about the angle sum
Semester Exam Review. Multiple Choice Identify the choice that best completes the statement or answers the question.
Semester Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Are O, N, and P collinear? If so, name the line on which they lie. O N M P a. No,
Mathematics Test Book 3
Mathematics Test Book 3 Grade 8 May 5 7, 2010 Name 21658 Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703.
Parallel and Perpendicular. We show a small box in one of the angles to show that the lines are perpendicular.
CONDENSED L E S S O N. Parallel and Perpendicular In this lesson you will learn the meaning of parallel and perpendicular discover how the slopes of parallel and perpendicular lines are related use slopes
CHAPTER 6 LINES AND ANGLES. 6.1 Introduction
CHAPTER 6 LINES AND ANGLES 6.1 Introduction In Chapter 5, you have studied that a minimum of two points are required to draw a line. You have also studied some axioms and, with the help of these axioms,
Definitions, 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
Everyday Mathematics GOALS
Copyright Wright Group/McGraw-Hill GOALS The following tables list the Grade-Level Goals organized by Content Strand and Program Goal. Content Strand: NUMBER AND NUMERATION Program Goal: Understand the
Everyday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration
CCSS EDITION Overview of -6 Grade-Level Goals CCSS EDITION Content Strand: Number and Numeration Program Goal: Understand the Meanings, Uses, and Representations of Numbers Content Thread: Rote Counting
2006 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
Vocabulary. Term Page Definition Clarifying Example. biconditional statement. conclusion. conditional statement. conjecture.
CHAPTER Vocabulary The table contains important vocabulary terms from Chapter. As you work through the chapter, fill in the page number, definition, and a clarifying example. biconditional statement conclusion
Trigonometry. An easy way to remember trigonometric properties is:
Trigonometry It is possible to solve many force and velocity problems by drawing vector diagrams. However, the degree of accuracy is dependent upon the exactness of the person doing the drawing and measuring.
Geometer s Sketchpad. Discovering the incenter of a triangle
Geometer s Sketchpad Discovering the incenter of a triangle Name: Date: 1.) Open Geometer s Sketchpad (GSP 4.02) by double clicking the icon in the Start menu. The icon looks like this: 2.) Once the program
Cut out a design. Do not cut down the fold line.
Symmetry esson 8 Fold a piece of paper in half. ut out a design. o not cut down the fold line. Unfold the cut out design. You have just made a symmetric figure. symmetric figure can be folded so that both
2.5 If-Then Statements and
Page 1 of 6 2.5 If-Then Statements and Deductive Reasoning Goal Use if-then statements. Apply laws of logic. An if-then statement has two parts. The if part contains the hypothesis. The then part contains
Cumulative Test. 161 Holt Geometry. Name Date Class
Choose the best answer. 1. P, W, and K are collinear, and W is between P and K. PW 10x, WK 2x 7, and PW WK 6x 11. What is PK? A 2 C 90 B 6 D 11 2. RM bisects VRQ. If mmrq 2, what is mvrm? F 41 H 9 G 2
10.2 45-45 -90 Triangles
Page of 6 0. --0 Triangles Goal Find the side lengths of --0 triangles. Key Words --0 triangle isosceles triangle p. 7 leg of a right triangle p. hypotenuse p. Geo-Activity Eploring an Isosceles Right
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.
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
4.7 Triangle Inequalities
age 1 of 7 4.7 riangle Inequalities Goal Use triangle measurements to decide which side is longest and which angle is largest. he diagrams below show a relationship between the longest and shortest sides
5.1 Midsegment Theorem and Coordinate Proof
5.1 Midsegment Theorem and Coordinate Proof Obj.: Use properties of midsegments and write coordinate proofs. Key Vocabulary Midsegment of a triangle - A midsegment of a triangle is a segment that connects
Introduction to Fractions
Section 0.6 Contents: Vocabulary of Fractions A Fraction as division Undefined Values First Rules of Fractions Equivalent Fractions Building Up Fractions VOCABULARY OF FRACTIONS Simplifying Fractions Multiplying
For each Circle C, find the value of x. Assume that segments that appear to be tangent are tangent. 1. x = 2. x =
Name: ate: Period: Homework - Tangents For each ircle, find the value of. ssume that segments that appear to be tangent are tangent. 1. =. = ( 5) 1 30 0 0 3. =. = (Leave as simplified radical!) 3 8 In
8.2 Angle Bisectors of Triangles
Name lass Date 8.2 ngle isectors of Triangles Essential uestion: How can you use angle bisectors to find the point that is equidistant from all the sides of a triangle? Explore Investigating Distance from
12. Parallels. Then there exists a line through P parallel to l.
12. Parallels Given one rail of a railroad track, is there always a second rail whose (perpendicular) distance from the first rail is exactly the width across the tires of a train, so that the two rails
GEOMETRY - QUARTER 1 BENCHMARK
Name: Class: _ Date: _ GEOMETRY - QUARTER 1 BENCHMARK Multiple Choice Identify the choice that best completes the statement or answers the question. Refer to Figure 1. Figure 1 1. What is another name
Name Period 10/22 11/1 10/31 11/1. Chapter 4 Section 1 and 2: Classifying Triangles and Interior and Exterior Angle Theorem
Name Period 10/22 11/1 Vocabulary Terms: Acute Triangle Right Triangle Obtuse Triangle Scalene Isosceles Equilateral Equiangular Interior Angle Exterior Angle 10/22 Classify and Triangle Angle Theorems
Build a Bridge. Based on the book
Fifth Grade English Design Brief Build a Bridge Based on the book Bridge to Terabithia by Katherine Paterson Background: You have just completed reading the book Bridge to Terabithia. Jess has asked for
Chapter Three. Circles
hapter Three ircles FINITIONS 1. QUL IRLS are those with equal radii. K 2. HOR of a circle is any straight line joining two points on its circumference. For example, K is a chord. R 3. n R of a circle
Geometry Unit 10 Notes Circles. Syllabus Objective: 10.1 - The student will differentiate among the terms relating to a circle.
Geometry Unit 0 Notes ircles Syllabus Objective: 0. - The student will differentiate among the terms relating to a circle. ircle the set of all points in a plane that are equidistant from a given point,
Advanced Euclidean Geometry
dvanced Euclidean Geometry What is the center of a triangle? ut what if the triangle is not equilateral?? Circumcenter Equally far from the vertices? P P Points are on the perpendicular bisector of a line
MI314 History of Mathematics: Episodes in Non-Euclidean Geometry
MI314 History of Mathematics: Episodes in Non-Euclidean Geometry Giovanni Saccheri, Euclides ab omni naevo vindicatus In 1733, Saccheri published Euclides ab omni naevo vindicatus (Euclid vindicated om
NCTM Curriculum Focal Points for Grade 5. Everyday Mathematics, Grade 5
NCTM Curriculum Focal Points and, Grade 5 NCTM Curriculum Focal Points for Grade 5 Number and Operations and Algebra: Developing an understanding of and fluency with division of whole numbers Students