Final Exam Review #3 - Weebly

1 Name: _____ Class: _____ Date: _____ ID: A. Final Exam Review #3. ____ 1. What are the names of three collinear points? A. Points A, J, and B are collinear. C. Points D, J, and B are collinear. B. Points L, J, and K are collinear. D. Points D, J, and K are collinear. ____ 2. Name the line and plane shown in the diagram.. A. QP and plane SR C. PQ and plane SP.. B. PQ and plane PQS D. line P and plane PQS. ____ 3. Are M, N, and O collinear? If so, name the line on which they lie. A. Yes, they lie on the line NP. B. Yes, they lie on the line MP. C. Yes, they lie on the line MO. D. No, the three points are not collinear. 1. Name: _____ ID: A.. ____ 4. What is the name of the ray that is opposite BD ? .. A. BD B. CD C. BA D. AD. ____ 5. Name the intersection of plane ACG and plane BCG.. A. AC C. CG.. B. BG D. The planes need not intersect.. ____ 6. Which diagram shows plane PQR and plane QRS intersecting only in QR ? A. C. B. D. ____ 7. What plane contains points C, D, and G?

2 A. The plane on the bottom of the figure. B. The plane on the top of the figure. C. The plane on the front of the figure. D. The plane that passes at a slant through the figure. 2. Name: _____ ID: A. ____ 8. If EF = 4x + 15, FG = 39, and EG = 110, find the value of x. The drawing is not to scale. A. x = 56 C. x = 14. B. x = 16 D. x = 2. ____ 9. If T is the midpoint of SU, what are ST, TU, and SU? A. ST = 7, TU = 63, and SU = 126 C. ST = 18, TU = 18, and SU = 36. B. ST = 80, TU = 80, and SU = 160 D. ST = 63, TU = 63, and SU = 126. ____ 10. Complete the statement. GDF ? A. DGF C. EDF. B. DEF D. DFE. ____ 11. If m EOF = 26 and m FOG = 38, then what is the measure of EOG? The diagram is not to scale. A. 64 B. 12 C. 52 D. 76. 3. Name: _____ ID: A. ____ 12. Name an angle complementary to BOC. A. DOE B. BOE C. BOA D. COD. ____ 13. Name an angle adjacent to DGE. A. FGI B. EGH C. HGJ D. JGI. ____ 14. Supplementary angles are two angles whose measures have a sum of ____. Complementary angles are two angles whose measures have a sum of ____.

3 A. 90; 180 B. 90; 45 C. 180; 360 D. 180; 90. ____ 15. In the figure shown, m AED = 121. Which of the following statements is false? Not drawn to scale A. m AEB = 59. B. BEC and AED are vertical angles. C. AEB and BEC are vertical angles. D. m BEC = 121. 4. Name: _____ ID: A. ____ 16. Find the coordinates of the midpoint of the segment whose endpoints are H(6, 4) and K(2, 8). A. (4, 4) B. (2, 2) C. (8, 12) D. (4, 6). ____ 17. M is the midpoint of CF for the points C(3, 7) and F(5, 5). Find MF. A. 2 B. 2 2 C. 2 D. 4. ____ 18. T(6, 12) is the midpoint of CD. The coordinates of D are (6, 15). What are the coordinates of C? A. (6, 18) B. (6, 24) C. (6, 9) D. (6, ). ____ 19. Noam walks home from school by walking 8 blocks north and then 6 blocks east. How much shorter would his walk be if there were a direct path from the school to his house? Assume that the blocks are square. A. 14 blocks C. 4 blocks B. 10 blocks D. The distance would be the same. ____ 20. Find the perimeter of ABC with vertices A(1, 1), B(7, 1), and C(1, 9).

4 A. 114 units B. 24 units C. 28 units D. 14 units .. 21. Construct CJ , the bisector of C. 5. Name: _____ ID: A. ____ 22. Find the values of x, y, and z. The diagram is not to scale. A. x = 63, y = 104, z = 76 C. x = 63, y = 76, z = 104. B. x = 76, y = 63, z = 104 D. x = 76, y = 104, z = 63. ____ 23. Write the equation for the horizontal line that contains point G(3, 4). A. x = 4 B. y = 4 C. y = 3 D. x = 3. ____ 24. Is the line through points P(3, 5) and Q(1, 4) parallel to the line through points R( 1, 1) and S(3, 3)? Explain. A. Yes; the lines have equal slopes. B. No; the lines have unequal slopes. C. No; one line has zero slope, the other has no slope. D. Yes; the lines are both vertical. ____ 25. Is the line through points P( 3, 2) and Q(2, 3) perpendicular to the line through points R(10, 1). and S(15, 6)? Explain. A. No, their slopes are not opposite reciprocals. B. No; their slopes are not equal. C. Yes; their slopes have product 1. D. Yes; their slopes are equal.

5 6. ID: A. Final Exam Review #3. Answer Section 1. ANS: B PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and Planes OBJ: To understand basic terms and postulates of geometry NAT: CC | | TOP: 1-2 Problem 1 Naming Points, Lines, and Planes KEY: collinear | point 2. ANS: B PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and Planes OBJ: To understand basic terms and postulates of geometry NAT: CC | | TOP: 1-2 Problem 1 Naming Points, Lines, and Planes KEY: line | plane 3. ANS: C PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and Planes OBJ: To understand basic terms and postulates of geometry NAT: CC | | TOP: 1-2 Problem 1 Naming Points, Lines, and Planes KEY: point | line | collinear points 4. ANS: C PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and Planes OBJ: To understand basic terms and postulates of geometry NAT: CC | | TOP: 1-2 Problem 2 Naming Segments and Rays KEY: ray | opposite rays 5. ANS: C PTS: 1 DIF: L4 REF: 1-2 Points, Lines, and Planes OBJ: To understand basic terms and postulates of geometry NAT: CC | | TOP: 1-2 Problem 3 Finding the Intersection of Two Planes KEY: plane | intersection 6.

6 ANS: C PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and Planes OBJ: To understand basic terms and postulates of geometry NAT: CC | | TOP: 1-2 Problem 3 Finding the Intersection of Two Planes KEY: plane | intersection 7. ANS: C PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and Planes OBJ: To understand basic terms and postulates of geometry NAT: CC | | TOP: 1-2 Problem 4 Using Postulate 1-4. KEY: plane | point 8. ANS: C PTS: 1 DIF: L3 REF: 1-3 Measuring Segments OBJ: To find and compare lengths of segments NAT: CC | CC | TOP: 1-3 Problem 2 Using the Segment Addition Postulate KEY: coordinate | distance 9. ANS: D PTS: 1 DIF: L4 REF: 1-3 Measuring Segments OBJ: To find and compare lengths of segments NAT: CC | CC | TOP: 1-3 Problem 4 Using the Midpoint KEY: midpoint 10. ANS: C PTS: 1 DIF: L3 REF: 1-4 Measuring Angles OBJ: To find and compare the measures of angles NAT: CC | | TOP: 1-4 Problem 3 Using Congruent Angles KEY: congruent angles 11. ANS: A PTS: 1 DIF: L3 REF: 1-4 Measuring Angles OBJ: To find and compare the measures of angles NAT: CC | | TOP: 1-4 Problem 4 Using the Angle Addition Postulate KEY: Angle Addition Postulate 12.

7 ANS: D PTS: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs OBJ: To identify special angle pairs and use their relationships to find angle measures NAT: CC | | TOP: 1-5 Problem 1 Identifying Angle Pairs KEY: complementary angles 1. ID: A. 13. ANS: B PTS: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs OBJ: To identify special angle pairs and use their relationships to find angle measures NAT: CC | | TOP: 1-5 Problem 1 Identifying Angle Pairs KEY: adjacent angles 14. ANS: D PTS: 1 DIF: L2 REF: 1-5 Exploring Angle Pairs OBJ: To identify special angle pairs and use their relationships to find angle measures NAT: CC | | TOP: 1-5 Problem 1 Identifying Angle Pairs KEY: supplementary angles | complementary angles 15. ANS: C PTS: 1 DIF: L4 REF: 1-5 Exploring Angle Pairs OBJ: To identify special angle pairs and use their relationships to find angle measures NAT: CC | | TOP: 1-5 Problem 1 Identifying Angle Pairs KEY: adjacent angles | supplementary angles | vertical angles 16. ANS: D PTS: 1 DIF: L2.

8 REF: 1-7 Midpoint and Distance in the Coordinate Plane OBJ: To find the midpoint of a segment NAT: CC | CC | CC | | TOP: 1-7 Problem 1 Finding the Midpoint KEY: coordinate plane | Midpoint Formula 17. ANS: C PTS: 1 DIF: L3. REF: 1-7 Midpoint and Distance in the Coordinate Plane OBJ: To find the midpoint of a segment NAT: CC | CC | CC | | TOP: 1-7 Problem 1 Finding the Midpoint KEY: coordinate plane | Midpoint Formula 18. ANS: C PTS: 1 DIF: L2. REF: 1-7 Midpoint and Distance in the Coordinate Plane OBJ: To find the midpoint of a segment NAT: CC | CC | CC | | TOP: 1-7 Problem 2 Finding an Endpoint KEY: coordinate plane | Midpoint Formula 19. ANS: C PTS: 1 DIF: L3. REF: 1-7 Midpoint and Distance in the Coordinate Plane OBJ: To find the distance between two points in the coordinate plane NAT: CC | CC | CC | | TOP: 1-7 Problem 4 Finding Distance KEY: coordinate plane | Distance Formula | word problem | problem solving 20. ANS: B PTS: 1 DIF: L3. REF: 1-8 Perimeter, Circumference, and Area OBJ: To find the perimeter or circumference of basic shapes NAT: CC | | | | | TOP: 1-8 Problem 3 Finding Perimeter in the Coordinate Plane KEY: triangle | perimeter | coordinate plane | Distance Formula 2.

9 ID: A. 21. ANS: PTS: 1 DIF: L2 REF: 1-6 Basic Constructions OBJ: To make basic constructions using a straightedge and a compass NAT: CC | | TOP: 1-6 Problem 4 Constructing the Angle Bisector KEY: angle bisector | construction 22. ANS: B PTS: 1 DIF: L3 REF: 3-5 Parallel Lines and Triangles OBJ: To find measures of angles of triangles NAT: CC | | TOP: 3-5 Problem 1 Using the Triangle Angle-Sum Theorem KEY: triangle | sum of angles of a triangle 23. ANS: B PTS: 1 DIF: L3. REF: 3-7 Equations of Lines in the Coordinate Plane OBJ: To graph and write linear equations NAT: CC | | |. TOP: 3-7 Problem 5 Writing Equations of Horizontal and Vertical Lines KEY: horizontal line 24. ANS: B PTS: 1 DIF: L2. REF: 3-8 Slopes of Parallel and Perpendicular Lines OBJ: To relate slope to parallel and perpendicular lines NAT: CC | | | TOP: 3-8 Problem 1 Checking for Parallel Lines KEY: slopes of parallel lines | graphing | parallel lines 25. ANS: C PTS: 1 DIF: L2. REF: 3-8 Slopes of Parallel and Perpendicular Lines OBJ: To relate slope to parallel and perpendicular lines NAT: CC | | | TOP: 3-8 Problem 3 Checking for Perpendicular Lines KEY: slopes of perpendicular lines | perpendicular lines 3.