Georgia Online Formative Assessment Resource (GOFAR) AG geometry domain


 Milo Anderson
 5 years ago
 Views:
Transcription
1 AG geometry domain Name: Date: Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (1 of 36 )
2 1. Amy drew a circle graph to represent the ages of people who were surveyed for a consumer group. Of those surveyed, 30% were over the age of 65. Which one of the following graphs best represents the survey results? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (2 of 36 )
3 2. A square has two sides on the lines and It has a vertex at What is the perimeter, in units, of the square? Jennifer keeps a box under her bed to store clothes. The box is in the shape of a rectangular prism as shown in the figure below Jennifer's sister, Molly, made a box that had the same height as Jennifer's box. Molly, however, realized that she could triple the length and double the width and it would still fit under her bed. What is the ratio of the volume of Molly's box to the volume of Jennifer's box? 6:1 12:1 36:1 216:1 4. Which number is closest to the value ofxin the figure below? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (3 of 36 )
4 In the figures shown below, is similar to. What is the length of? 2.0 cm 4.5 cm 12.5 cm 22.5 cm 6. Parallelogram is shown in this diagram. Line segments are diagonals of parallelogram Point Jis the midpoint of Point Kis the midpoint of Point Lis the midpoint of Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (4 of 36 )
5 Point Mis the midpoint of Line segment is 12 centimeters long. What is the length of 6 cm 7 cm 8 cm 9 cm 7. Parallelogram is shown in this diagram. Line segments are diagonals of parallelogram Point Jis the midpoint of Point Kis the midpoint of Point Lis the midpoint of Point Mis the midpoint of The perimeter of parallelogram is 44 centimeters. What is the length of 5 cm 5.5 cm 10 cm 10.5 cm Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (5 of 36 )
6 8. In the figures shown below, is similar to. What is the length of? 2.0 cm 4.5 cm 12.5 cm 22.5 cm 9. In the triangle below, which list shows the angles from smallest to largest? 10. The sine of in this figure is Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (6 of 36 )
7 Which equation must be true? 11. This triangle has the measures shown. Which measures shown in the triangle are equivalent to 12. The tangent of in this diagram is Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (7 of 36 )
8 The height of the mountain, z, is 1400 feet. Which equation must be true? 13. This diagram shows similar right triangles. Which equation must be true? 14. This is a right triangle. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (8 of 36 )
9 Which expression is equivalent to 15. The tangent of in this triangle is Which equation must be true? 16. The measure of in right is Which equation must be true? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (9 of 36 )
10 17. Angles 1, 2, 3, and 4 are marked in these similar right triangles. Which measure is equivalent to 18. What is the value ofxin the triangle below? 19. Use this diagram and information to answer the question. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (10 of 36 )
11 In the diagram, PQRS is a kite. = 24 inches = 36 inches What is the length, to the nearest 0.01 inch, of 9.58 inches inches inches inches 20. Use this diagram and information to answer the question. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (11 of 36 )
12 Which is the best estimate of the ratio 21. This diagram shows the lengths of each side of a kite. What is the value of w, to the nearest inch? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (12 of 36 )
13 10 in 20 in 30 in 40 in 22. The angle of depression from a helicopter to the top of a monument is 16, as shown in this diagram. How far above the ground, to the nearest yard, is the helicopter? 798 yd. 828 yd yd yd. 23. A bridge is built across a stream as shown in this diagram. The top of the bridge is 4 meters above the stream. Which equation can be used to find x, the length, in meters, of the bridge? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (13 of 36 )
14 24. A building casts a 50foot shadow. The angle of elevation from the end of the shadow to the top of the building is 69. What is the height, to the nearest foot, of the building? 19 ft. 47 ft. 54 ft. 130 ft. 25. Chords and are equidistant from center P in this circle. Chord is 6 units long. Which statement MUST be true about the value of x? It is 1.5. It is between 1.5 and 4.5. It is 4.5. It is greater than 4.5. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (14 of 36 )
15 26. The center of circle P is located at as shown on this coordinate plane. Line m is tangent to circle P at What is the equation of line m? 27. Circle O is inscribed inside quadrilateral PRST, as shown in this diagram. is tangent to circle O at point Q. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (15 of 36 )
16 What is the perimeter of quadrilateral 80 in. 74 in. 68 in. 54 in. 28. The measure of is in this circle. The measure of is What is the measure of 29. Segments KJ and KL are tangent to circle P. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (16 of 36 )
17 What is the measure of 30. This diagram shows circle P with What is the measure of 31. Points N, P, and Q lie on circle O, as shown in this diagram. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (17 of 36 )
18 The measure of What is the measure of 32. Chord is congruent to chord in circle O, as shown. What is the value of x? Beth made the following pie graph to represent her monthly budget. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (18 of 36 )
19 What percentage of her budget does she spend on her rent and car combined? 50% 72% 90% 180% 34. In the figure below,ois the center of the circle. If the measure of minor arc is 60, what is the measure ofý ABO? A sector of a circle is created from a central angle with a measure of 60. If the diameter of the circle is 6 inches, what is the area of the sector? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (19 of 36 )
20 36. Regular pentagon DEFGH is inscribed in circle P, as shown. The length of is8pyards. Which equation must be true? 37. A new flower bed outside of a town hall is in the shape of a triangle. Two of the side lengths are and Which expression represents a possible length of the third side of the triangle? 38. Triangle the measures of its angles, and two of its side lengths are shown in this diagram. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (20 of 36 )
21 Which expression could represent the length of 39. In this diagram, contains Which statement MUST be true? 40. In the figure below, the diagonals of parallelogramabcdintersect at (5, 2). Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (21 of 36 )
22 What are the coordinates of pointc? (7, 3) (8, 3) (9, 4) (10, 4) 41. An electric company chose this design for its new logo. What is the sum of the interior angles of the hexagon? 42. The measure of one exterior angle of a regular polygon is What is the sum of its interior angles? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (22 of 36 )
23 43. The exterior angles of a triangle have a ratio. What is the smallest exterior angle of the triangle? 44. This diagram shows the shape of a city park. What is the value of A large picnic table is in the shape of a regular polygon. An interior angle of this table measures How many sides does the picnic table have? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (23 of 36 )
24 46. Which pair of triangles MUST be congruent? 47. In this diagram, bisects Which additional piece of information is NOT sufficient to prove Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (24 of 36 )
25 48. Which set of points is equidistant from the rays that form an angle? perpendicular bisector skew line angle bisector central angle 49. An exercise ball has a volume of 2304pcubic inches. What is the surface area of the ball? 96p sq. in. 192p sq. in. 288p sq. in. 576p sq. in. 50. Which graph shows the relationship between the surface area and the volume of a sphere? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (25 of 36 )
26 51. A trophy is shaped like a large golf ball. The diameter of the trophy is 8 inches. What is the volume of the trophy? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (26 of 36 )
27 52. The surface areas of the sphere and the cube shown in this diagram are the same. What is the approximate volume of thesphere? 1000 cm cm cm cm3 53. This diagram shows a sphere cut in half. The volume of this half of a sphere is 144pcubic centimeters. What is the total surface area of the half of the sphere? 72p 108p 144p 180p 54. The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (27 of 36 )
28 What is the volume, to the nearest cubic millimeter, of the vitamin? 55. A student used this equation to graph a circle. The student then translated the circle 2 units up and 1 unit to the left. What is the equation of the translated circle? 56. This equation represents a circle that has been graphed on a coordinate plane. What ordered pair represents the center of the circle? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (28 of 36 )
29 57. Which equation represents a circle centered at the point on a coordinate plane? 58. A student made this graph of a circle. Which equation represents the circle? 59. This equation represents a circle. Which statement about the graph of the circle is correct? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (29 of 36 )
30 The circle is centered at and has a radius of 12 units. The circle is centered at and has a radius of 12 units. The circle is centered at and has a radius of 144 units. The circle is centered at and has a radius of 144 units. 60. Which equation of a line is perpendicular to the line given by the equation y = x 6? y = x + 1 y = x + 1 y = x + 1 y = x Which line is parallel to the liney= 2x+ 1? y= 2x+ 1 y= y= 2x+ 3 y= In the coordinate system below, to prove that segment is parallel to segment, which of the following must be shown? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (30 of 36 )
31 The length of is half the length of The slope of equals the slope of The length of equals the length of The length of equals the length of 63. In the diagram, point S lies on segment RT and point P lies on segment QT. If what is the value of y? 64. Sam began a construction with his compass and straightedge. The sketch shows the first steps in his construction. Which construction is illustrated by the sketch? the midpoint of a line segment an angle bisector of an acute angle Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (31 of 36 )
32 a bisector of a given line through a point on the line the line perpendicular to a given line through a given point on the line 65. A circle is centered at and contains the point Which statement can be proven algebraically with the information given? The points and lie on the circle. The perimeter of any isosceles right triangle inscribed in the circle is units. Any right triangle with a vertex at and a hypotenuse that is less than 25 units will fit inside the circle. The sum of the areas of two squares with side lengths of 3 units and 4 units is greater than the area of the circle. 66. A clock is designed in the shape of a regular dodecagon. The perimeter of the dodecagon is 54 cm. By joining every other vertex of the dodecagon, a hexagon is formed. If each side of the hexagon is x cm long, what is the value of x to the nearest hundredth? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (32 of 36 )
33 Answer Key : : cm 6. 6 cm 7. 5 cm cm Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (33 of 36 )
34 inches in yd ft. 25. It is in % (10, 4) Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (34 of 36 )
35 angle bisector p sq. in cm p Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (35 of 36 )
36 The circle is centered at and has a radius of 12 units. 60. y = x y= 2x The slope of equals the slope of the line perpendicular to a given line through a given point on the line 65. The perimeter of any isosceles right triangle inscribed in the circle is units Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (36 of 36 )
GEOMETRY 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 informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Wednesday, January 29, 2014 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 29, 2014 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any
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 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 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 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 informationChapter 7 Quiz. (1.) Which type of unit can be used to measure the area of a region centimeter, square centimeter, or cubic centimeter?
Chapter Quiz Section.1 Area and Initial Postulates (1.) Which type of unit can be used to measure the area of a region centimeter, square centimeter, or cubic centimeter? (.) TRUE or FALSE: If two plane
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 informationCumulative 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
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 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 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 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 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 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 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 informationCircle Name: Radius: Diameter: Chord: Secant:
12.1: Tangent Lines Congruent Circles: circles that have the same radius length Diagram of Examples Center of Circle: Circle Name: Radius: Diameter: Chord: Secant: Tangent to A Circle: a line in the plane
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. 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 informationArea of Parallelograms (pages 546 549)
A Area of Parallelograms (pages 546 549) A parallelogram is a quadrilateral with two pairs of parallel sides. The base is any one of the sides and the height is the shortest distance (the length of a perpendicular
More informationCCGPS UNIT 3 Semester 1 ANALYTIC GEOMETRY Page 1 of 32. Circles and Volumes Name:
GPS UNIT 3 Semester 1 NLYTI GEOMETRY Page 1 of 3 ircles and Volumes Name: ate: Understand and apply theorems about circles M91.G..1 Prove that all circles are similar. M91.G.. Identify and describe relationships
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 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 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 Thursday, June 17, 2010 1:15 to 4:15 p.m., only Student Name: School Name: Print your name and the name of your
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. 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 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 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 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 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 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 informationGeometry Notes PERIMETER AND AREA
Perimeter and Area Page 1 of 57 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter
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 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, 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 informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, June 20, 2012 9:15 a.m. to 12:15 p.m., only Student Name: School Name: Print your name and the name
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 informationParallel 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
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 informationSection 91. Basic Terms: Tangents, Arcs and Chords Homework Pages 330331: 118
Chapter 9 Circles Objectives A. Recognize and apply terms relating to circles. B. Properly use and interpret the symbols for the terms and concepts in this chapter. C. Appropriately apply the postulates,
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 informationUnit 3 Practice Test. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: lass: ate: I: Unit 3 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. The radius, diameter, or circumference of a circle is given. Find
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 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 informationTangent Properties. Line m is a tangent to circle O. Point T is the point of tangency.
CONDENSED LESSON 6.1 Tangent Properties In this lesson you will Review terms associated with circles Discover how a tangent to a circle and the radius to the point of tangency are related Make a conjecture
More informationChapter 4: Area, Perimeter, and Volume. Geometry Assessments
Chapter 4: Area, Perimeter, and Volume Geometry Assessments Area, Perimeter, and Volume Introduction The performance tasks in this chapter focus on applying the properties of triangles and polygons to
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 informationGeometry Final Exam Review Worksheet
Geometry Final xam Review Worksheet (1) Find the area of an equilateral triangle if each side is 8. (2) Given the figure to the right, is tangent at, sides as marked, find the values of x, y, and z please.
More informationNEW MEXICO Grade 6 MATHEMATICS STANDARDS
PROCESS STANDARDS To help New Mexico students achieve the Content Standards enumerated below, teachers are encouraged to base instruction on the following Process Standards: Problem Solving Build new mathematical
More informationSA B 1 p where is the slant height of the pyramid. V 1 3 Bh. 3D Solids Pyramids and Cones. Surface Area and Volume of a Pyramid
Accelerated AAG 3D Solids Pyramids and Cones Name & Date Surface Area and Volume of a Pyramid The surface area of a regular pyramid is given by the formula SA B 1 p where is the slant height of the pyramid.
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 informationHow does one make and support a reasonable conclusion regarding a problem? How does what I measure influence how I measure?
Middletown Public Schools Mathematics Unit Planning Organizer Subject Mathematics Grade/Course Grade 7 Unit 3 Two and Three Dimensional Geometry Duration 23 instructional days (+4 days reteaching/enrichment)
More informationhttp://www.castlelearning.com/review/teacher/assignmentprinting.aspx 5. 2 6. 2 1. 10 3. 70 2. 55 4. 180 7. 2 8. 4
of 9 1/28/2013 8:32 PM Teacher: Mr. Sime Name: 2 What is the slope of the graph of the equation y = 2x? 5. 2 If the ratio of the measures of corresponding sides of two similar triangles is 4:9, then the
More informationFCAT FLORIDA COMPREHENSIVE ASSESSMENT TEST. Mathematics Reference Sheets. Copyright Statement for this Assessment and Evaluation Services Publication
FCAT FLORIDA COMPREHENSIVE ASSESSMENT TEST Mathematics Reference Sheets Copyright Statement for this Assessment and Evaluation Services Publication Authorization for reproduction of this document is hereby
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 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 informationArea of Parallelograms, Triangles, and Trapezoids (pages 314 318)
Area of Parallelograms, Triangles, and Trapezoids (pages 34 38) Any side of a parallelogram or triangle can be used as a base. The altitude of a parallelogram is a line segment perpendicular to the base
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 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 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 EOC Practice Test #3
Class: Date: Geometry EOC Practice Test #3 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which regular polyhedron has 12 petagonal faces? a. dodecahedron
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 information121 Representations of ThreeDimensional Figures
Connect the dots on the isometric dot paper to represent the edges of the solid. Shade the tops of 121 Representations of ThreeDimensional Figures Use isometric dot paper to sketch each prism. 1. triangular
More informationTeacher Page Key. Geometry / Day # 13 Composite Figures 45 Min.
Teacher Page Key Geometry / Day # 13 Composite Figures 45 Min. 91.G.1. Find the area and perimeter of a geometric figure composed of a combination of two or more rectangles, triangles, and/or semicircles
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 informationMEASUREMENTS. U.S. CUSTOMARY SYSTEM OF MEASUREMENT LENGTH The standard U.S. Customary System units of length are inch, foot, yard, and mile.
MEASUREMENTS A measurement includes a number and a unit. 3 feet 7 minutes 12 gallons Standard units of measurement have been established to simplify trade and commerce. TIME Equivalences between units
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 informationApplications for Triangles
Not drawn to scale Applications for Triangles 1. 36 in. 40 in. 33 in. 1188 in. 2 69 in. 2 138 in. 2 1440 in. 2 2. 188 in. 2 278 in. 2 322 in. 2 none of these Find the area of a parallelogram with the given
More informationIllinois State Standards Alignments Grades Three through Eleven
Illinois State Standards Alignments Grades Three through Eleven Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other
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 informationAlgebra III. Lesson 33. Quadrilaterals Properties of Parallelograms Types of Parallelograms Conditions for Parallelograms  Trapezoids
Algebra III Lesson 33 Quadrilaterals Properties of Parallelograms Types of Parallelograms Conditions for Parallelograms  Trapezoids Quadrilaterals What is a quadrilateral? Quad means? 4 Lateral means?
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 information" 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)
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 informationBiggar High School Mathematics Department. National 5 Learning Intentions & Success Criteria: Assessing My Progress
Biggar High School Mathematics Department National 5 Learning Intentions & Success Criteria: Assessing My Progress Expressions & Formulae Topic Learning Intention Success Criteria I understand this Approximation
More informationGeometry Unit 6 Areas and Perimeters
Geometry Unit 6 Areas and Perimeters Name Lesson 8.1: Areas of Rectangle (and Square) and Parallelograms How do we measure areas? Area is measured in square units. The type of the square unit you choose
More informationCHAPTER 8, GEOMETRY. 4. A circular cylinder has a circumference of 33 in. Use 22 as the approximate value of π and find the radius of this cylinder.
TEST A CHAPTER 8, GEOMETRY 1. A rectangular plot of ground is to be enclosed with 180 yd of fencing. If the plot is twice as long as it is wide, what are its dimensions? 2. A 4 cm by 6 cm rectangle has
More informationEND OF COURSE GEOMETRY CORE 1
SESSION: 24 PE: 1 5/5/04 13:29 OIN ISglenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04ribsg11/iv_g11geom1 VIRINI STNRS O ERNIN SSESSMENTS Spring 2004 Released Test EN O OURSE EOMETRY ORE 1 Property
More informationGeometry Progress Ladder
Geometry Progress Ladder Maths Makes Sense Foundation Endofyear objectives page 2 Maths Makes Sense 1 2 Endofblock objectives page 3 Maths Makes Sense 3 4 Endofblock objectives page 4 Maths Makes
More informationPractice Test Answer and Alignment Document Mathematics: Geometry Performance Based Assessment  Paper
The following pages include the answer key for all machinescored items, followed by the rubrics for the handscored items.  The rubrics show sample student responses. Other valid methods for solving
More information2014 2015 Geometry B Exam Review
Semester Eam Review 014 015 Geometr B Eam Review Notes to the student: This review prepares ou for the semester B Geometr Eam. The eam will cover units 3, 4, and 5 of the Geometr curriculum. The eam consists
More information12 Surface Area and Volume
12 Surface Area and Volume 12.1 ThreeDimensional Figures 12.2 Surface Areas of Prisms and Cylinders 12.3 Surface Areas of Pyramids and Cones 12.4 Volumes of Prisms and Cylinders 12.5 Volumes of Pyramids
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 information1. A plane passes through the apex (top point) of a cone and then through its base. What geometric figure will be formed from this intersection?
Student Name: Teacher: Date: District: Description: MiamiDade County Public Schools Geometry Topic 7: 3Dimensional Shapes 1. A plane passes through the apex (top point) of a cone and then through its
More informationGeometry Unit 5: Circles Part 1 Chords, Secants, and Tangents
Geometry Unit 5: Circles Part 1 Chords, Secants, and Tangents Name Chords and Circles: A chord is a segment that joins two points of the circle. A diameter is a chord that contains the center of the circle.
More informationNumber Sense and Operations
Number Sense and Operations representing as they: 6.N.1 6.N.2 6.N.3 6.N.4 6.N.5 6.N.6 6.N.7 6.N.8 6.N.9 6.N.10 6.N.11 6.N.12 6.N.13. 6.N.14 6.N.15 Demonstrate an understanding of positive integer exponents
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 informationLesson 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
More informationChapter 11. Areas of Plane Figures You MUST draw diagrams and show formulas for every applicable homework problem!
Chapter 11 Areas of Plane Figures You MUST draw diagrams and show formulas for every applicable homework problem! Objectives A. Use the terms defined in the chapter correctly. B. Properly use and interpret
More informationUnit 10 Geometry Circles. NAME Period
Unit 10 Geometry Circles NAME Period 1 Geometry Chapter 10 Circles ***In order to get full credit for your assignments they must me done on time and you must SHOW ALL WORK. *** 1. (101) Circles and Circumference
More informationGeometry 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,
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 informationName: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: Class: Date: ID: A Q3 Geometry Review Multiple Choice Identify the choice that best completes the statement or answers the question. Graph the image of each figure under a translation by the given
More informationMATHS LEVEL DESCRIPTORS
MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and
More informationLesson 1: Introducing Circles
IRLES N VOLUME Lesson 1: Introducing ircles ommon ore Georgia Performance Standards M9 12.G..1 M9 12.G..2 Essential Questions 1. Why are all circles similar? 2. What are the relationships among inscribed
More informationCalculating Area, Perimeter and Volume
Calculating Area, Perimeter and Volume You will be given a formula table to complete your math assessment; however, we strongly recommend that you memorize the following formulae which will be used regularly
More informationLesson 9.1 The Theorem of Pythagoras
Lesson 9.1 The Theorem of Pythagoras Give all answers rounded to the nearest 0.1 unit. 1. a. p. a 75 cm 14 cm p 6 7 cm 8 cm 1 cm 4 6 4. rea 9 in 5. Find the area. 6. Find the coordinates of h and the radius
More information43 Perimeter and Area
43 Perimeter and Area Perimeters of figures are encountered in real life situations. For example, one might want to know what length of fence will enclose a rectangular field. In this section we will study
More informationRegents Examination in Geometry (Common Core) Sample and Comparison Items Spring 2014
Regents Examination in Geometry (Common Core) Sample and Comparison Items Spring 2014 i May 2014 777777 THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234 New York
More informationCharacteristics of the Four Main Geometrical Figures
Math 40 9.7 & 9.8: The Big Four Square, Rectangle, Triangle, Circle Pre Algebra We will be focusing our attention on the formulas for the area and perimeter of a square, rectangle, triangle, and a circle.
More information