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Name _________________________________________ Date CHAPTER 1 ____________________ Chapter Test B For use after the chapter “Essentials of Geometry” In Exercises 1-3, use the diagram to decide whether the statement is true or false. Answers 1. _____________ 1. Point R lies on line g. 2. _____________ 2. Points A, M, R, and Z are coplanar. 3. _____________ 3. Points A and Q are collinear. 4. _____________ 5. _____________ 4. The diagram shows three houses on a street. Find the distance from House A to House C. 6. _____________ 7. _____________ In each diagram, M is the midpoint of the segment. Find the indicated length. 5. XM 6. CG 8. _____________ 9. _____________ 10. _____________ 11. _____________ Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved. Find the exact distance between the points. 7. A and B 12. _____________ 13. _____________ 8. C and F 9. D and E Use the endpoint and midpoint M of the segment to find the coordinates of the other endpoint. 10. AB ; A(–1, 3), M(3, 1) 11. CD ; C(–2, –3), M(–4, 2) Use the given information to find the value of x. 12. ABD DBC 13. WXZ ZXY Geometry Assessment Book Name _________________________________________ Date CHAPTER 1 ____________________ Chapter Test B continued For use after the chapter “Essentials of Geometry” 14. Given that 1 is a complement of 2 and m 2 = 17º, find m 1. Answers 15. Given that 3 is a supplement of 4 and m 3 = 46º, find m 4. 14. _____________ 16. Two angles form a linear pair. The measure of one angle is four times greater than the measure of the other angle. Find the measure of each angle. 15. _____________ 17. Two angles form a linear pair. The measure of one angle is six more than twice the measure of the other angle. Find the measure of each angle. 17. _____________ Tell whether the statement is always, sometimes, or never true. 19. _____________ 16. _____________ 18. _____________ 20. _____________ 18. A pentagon is a plane figure. 19. A triangle is concave. 21. _____________ 20. A hexagon has six congruent sides. 22. _____________ 21. A quadrilateral is equiangular but not equilateral. 23. _____________ 22. The complement of an acute angle is an acute angle. 24. _____________ 23. The supplement of an acute angle is an obtuse angle. Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. Explain your reasoning. 24. 25. _____________ _____________ 25. 26. _____________ 27. _____________ 28. _____________ 26. The lengths of two sides of a regular hexagon are 3x – 8 and 2x – 1. Find the length of each side of the hexagon. 27. The expressions (5x + 5)° and (4x + 13)° represent the measures of two angles of a regular octagon. Find the measure of an angle of the octagon. 28. Joe ran from Point A to Point C and Mike ran from Point B to Point C. About how much farther did Joe run than Mike? Round your answer to the nearest tenth. The distance between consecutive grid lines represents 1 yard. Geometry Assessment Book Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved. _____________ Name _________________________________________ CHAPTER 1 Date ____________________ Chapter Test C For use after the chapter “Essentials of Geometry” In Exercises 1-4, use the diagram. 1. Name the intersection of AL and LO . 1. _____________ 2. Name the intersection of plane ABC and plane LOD. 2. _____________ 3. Name three planes that intersect at point O. 4. Name three lines that intersect at point N. 5. The midpoint of FG is M(–1, 3). One endpoint is F(–2, 5). Find the coordinates of endpoint G. 6. The midpoint of QR is M(2, 1.5). One endpoint is R(1, –1). Find the coordinates of endpoint Q. The endpoints of two segments are given. Find the exact length of each segment. Tell whether the segments are congruent. 7. AB ; A(1, 1), B(5, 3) CD ; C(–3, –2), D(–1, 2) Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved. Answers 8. WX ; W(1, 2), X(5, 1) YZ ; Y(4, 1), Z(2, 4) 9. Given that m QRT = 95º, find m QRS and m SRT. 3. _____________ _____________ 4. _____________ _____________ 5. _____________ 6. _____________ 7. _____________ _____________ 8. _____________ _____________ _____________ 9. _____________ 10. Given that ABD is a straight angle, find m ABC and m CBD. 11. Given that XYZ and LMN are complementary angles, find m XYZ and m LMN. _____________ 10. _____________ _____________ 11. _____________ _____________ 12. Given that QRS and EFG are supplementary angles, find m QRS and m EFG. 12. _____________ _____________ Geometry Assessment Book Name _________________________________________ CHAPTER 1 Date ____________________ Chapter Test C continued For use after the chapter “Essentials of Geometry” 13. FGH and HGJ form a linear pair. Find the measures of the angles if m FGH = 11xº and m HGJ = (6x – 7)º. 14. LMN and NMO form a linear pair. Find the measures of the angles if m LMN = (3x + 10)º and m NMO = (2x + 45)º. Draw a figure that fits the description. 15. A regular triangle 16. A quadrilateral that is equilateral but not equiangular 17. A concave pentagon 18. An isosceles triangle that is not equiangular Answers 13. _____________ _____________ 14. _____________ _____________ 15. _____________ 16. _____________ Tell whether the statement is always, sometimes, or never true. 17. _____________ 19. A nonagon is a plane figure. 18. _____________ 20. A quadrilateral is convex. 21. A hexagon is equiangular but not equilateral. 19. _____________ 18. _____________ 22. The complement of the supplement of an angle is an acute angle. Geometry Assessment Book 19. _____________ 20. _____________ 21. _____________ 22. _____________ 23. _____________ Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved. 23. Tony walks from point A to point B and then from point B to point C as shown in the diagram. How many feet could he have saved by walking on the diagonal sidewalk from point A directly to point C? Round your answer to the nearest foot. The distance between consecutive grid lines represents 4 feet. Answers for Essentials of Geometry Chapter Test B 1. false 2. true 3. true 4. 150 ft 5. 7 6. 38 20 8. 10 9. 17 10. (7, – 1) 11. (–6, 7) 12. 5 13. 24 14. 73º 15. 134º 16. 36º; 144º 17. 58º; 122º 18. always 19. never 20. sometimes 21. sometimes 22. always 23. always 24. regular triangle; it has all angles and sides congruent 25. equilateral; it has all sides congruent but not all angles 26. 13 27. 135° 28. 0.5 yd 7. Chapter Test C 1. Point L 2. AD 3. Planes LON, CNO, and ALO 4. CN , NM , and ON 5. (0, 1) 7. AB = CD = 6. (3, 4) 20; AB CD 8. WX = 17 ; YZ = 13 ; WX ≇ YZ 9. m QRS = 30º; m SRT = 65º 10. m ABC = 35º; m CBD = 145º 11. m XYZ = 24º; m LMN = 66º 12. m QRS = 67º; m EFG = 113º 13. m FGH = 121º; m HGJ = 59º 14. m LMN = 85º; m NMO = 95º 15. 16. 17. Sample answer: 18. Sample answer: 19. always 22. always 20. sometimes 21. sometimes 23. 9 ft