Geometry Chapter 5 Test Review 1. Given: EF is the perpendicular bisector of IK . Which statement is true? [A] ÐIEK is a right angle. E [B] FK = EK [C] F is the midpoint of IK [D] FI = FK I J K F 7. For the triangle shown, VS = 5 and VQ = 6. Then PQ = ______. 8. Using the Triangle Inequality Theorem, solve for all possible values of x. 2. If KF is the perpendicular bisector of GH , then Ð KGF @ ______. 9. Two sides of a triangle have sides 4 and 15. The length of the third side must be greater than _____ and less than ____. 10. Which of these lengths could be the sides of a triangle? 3. The medians of a triangle are concurrent. Their common point is the ____. 4. A point is equidistant from points A(0, 0), B(4, 0), and C(4, 4). Its coordinates are _____. [A] 7 cm, 19 cm, 12 cm [B] 19 cm, 7 cm, 13 cm [C] 12 cm, 22 cm, 8 cm [D] 22 cm, 12 cm, 9 cm 11. Refer to the figure below. y C 4 A Given: AF @ FC , Ð ABE @ Ð EBC A median of D ABC is ____. B 4 x 5. Given: AE bisects Ð DAB . Find ED if CB = 6 and CE = 8. (not drawn to scale) 12. Solve for x given BD = 5 x + 5 and AE = 9 x + 4 . B 2 Assume B is the midpoint of AC and D is the midpoint of CE. E C C D B A 6. Refer to figure below. D A E
13. Find the area of the rectangle if AC = 13 and BD = 26. B A C Given: AF @ FC , Ð ABE @ Ð EBC An altitude of D ABC is ____. D Geometry Chapter 5 Test Review 14. Refer to the figure. 20. The altitudes of a triangle are concurrent. What is the name of their common point? 21. Refer to the figure below. A. If BC = 15, then LN = ______. B. If AB = 3x + 5 and NM = 2x + 1, then NM = ______. The longest side is ______. 15. Which is the appropriate symbol to place in the blank? (not drawn to scale) A AB __ AC [A] > [B] = 20° [C] < [D] not enough information 83° B O 2 2 C 16. Given the triangles below, if ZY @ CB , XY @ AB , and m ÐB > m Ð Y , decide which statement is true. 22. Refer to the figure below. If EF = 5x + 6 and AC = 3x – 2, then what is the length of BF ? 23. Refer to the figure. Given: AB @ AD , BE > EDWhat is the relationship (<, >, or =) between m Ð BAE and m Ð DAE? X A Z Y B 24. Refer to the figure. What is the largest angle that is part of a triangle in the figure? C [A] XY < AB
[C] XZ < AC
[B] YZ > BC
[D] AC < XZ
17. In DPQR and DEGF , PR @ EF , QR @ GF , PQ = 18 cm , EG = 24 cm , and m ÐR = 65 ° . What angle measure is reasonable for ÐF ? Q 25. Write an indirect proof. Given: m Ð 1 = 121 ° and m Ð 2 = 120 ° Prove: a || b R a 6 5° 18 cm G P 1 F 2 24 cm E 18. A point is equidistant from points A(2, 1), B(2, –4), and C(–3, 1). Find its coordinates. 19. How many medians does a triangle have? b