Name Class Date Quarter 2 Test Form K Chapters 4–6 1. ABC XYZ. What side is congruent to AC? 2. Find the value of x. 8. Give the coordinates of point O without using any new variables. N(a,b) O 2x M(0,0) P(c,0) 3x 4 3. For what value of x must ABCD be a parallelogram? m 3x26 B C 4 A 9. Find the value of m in the regular octagon. 4 5x 214 D 4. Find mYXZ. 10. List the angles of ABC from smallest to largest if AB = 12, BC = 16, and AC = 22. X 11. What theorem or postulate can you use to prove the pair of triangles congruent? Z 62 Y 5. Find the values of x and y. y x 12. Find the values of x and y in the trapezoid. x 85 60 142 y For Exercises 6 and 7, state the postulate or theorem you could use to prove each pair of triangles congruent. 13. Given the coordinates of the vertices of parallelogram ABCD, how can you use the coordinates to show that ABCD is a rhombus? 14. Determine the value of x for which the figure is a rectangle. 6. 2x 3x 7. 5 1 13 5x 7 15. What is the most precise name for a quadrilateral with four right angles and four congruent sides? A parallelogram C rhombus B rectangle D square Prentice Hall Geometry • Progress Monitoring Assessments Copyright © by Pearson Education, Inc., or its afﬁliates. All Rights Reserved. 69 Name Class Quarter 2 Test Date Form K (continued) Chapters 4–6 16. What is the name of the point of concurrency of the perpendicular bisectors of a triangle? 24. Find m1 in the kite below. 348 1 17. Find the value of x. 12 x 13 25. What is the most precise A name for quadrilateral ABCD? B D C 18. Write an inequality relating QTR and RTS. Q 26. An isosceles triangle has angles measuring 55° and 70°. What is the measure of the third angle? 26 R T 29 27. Give the reason for the final statement to complete the following proof. A D Given: AE DE E EBC ECB C Prove: AB DC B S 19. What theorem or postulate can you use to prove the pair of triangles congruent? Statements 1. AE DE 2. EBC ECB 3. BE CE 20. Find the value of x. 4. AEB DEC 5. AEB DEC 6. AB DC X 3x⫺ 12 Reasons 1. Given 2. Given 3. Converse of Isosceles Triangle Theorem 4. Vertical angles 5. SAS Postulate 6. 9 x⫹ 8 28. AB y MN. Is AB a midsegment? Explain. L Y Q Z A 21. What must be true for AB to be an angle bisector of ACD? A M x13 B 2x16 N 29. What is the most precise name for quadrilateral ABCD with A(4, 0), B(6, 3), C(2, 3), and D(0, 0)? C B D 30. What common angle do XYZ and XBC share? 22. Writing Use indirect reasoning to show that there can be only one obtuse angle in a triangle. 23. In ABC, mA = 62° and mC = 58°. List the sides in order from smallest to largest. Y C X Z B Prentice Hall Geometry • Progress Monitoring Assessments Copyright © by Pearson Education, Inc., or its afﬁliates. All Rights Reserved. 70

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