Final Review Chapter 5
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1 Name: Class: Date: Final Review Chapter 5 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the length of the midsegment. The diagram is not to scale. a. 42 b. 24 c. 84 d Which statement can you conclude is true from the given information? Given: AB is the perpendicular bisector of IK. a. IAJ is a right angle. b. IJ = JK c. AJ = BJ d. A is the midpoint of IK. 1
2 Name: 3. Name the point of concurrency of the angle bisectors. a. B b. C c. A d. not shown 4. DF bisects EDG. Find the value of x. The diagram is not to scale. a. 90 b c. 30 d Find the length of AB, given that DB is a median of the triangle and AC = 26. a. 13 b. 26 c. 52 d. not enough information 2
3 Name: 6. DF bisects EDG. Find FG. The diagram is not to scale. a. 28 b. 15 c. 19 d Points B, D, and F are midpoints of the sides of ACE. EC = 30 and DF = 23. Find AC. The diagram is not to scale. a. 60 b c. 46 d Name a median for ABC. a. AD b. AF c. CE d. BD 3
4 Name: 9. In ABC, G is the centroid and BE = 9. Find BG and GE. a. BG 3, GE 6 b. BG = 4 1 2, GE = 41 2 c. BG 6, GE 3 d. BG = 21 4, GE = Find the value of x. a. 4 b. 8 c. 6.6 d Q is equidistant from the sides of TSR. Find the value of x. The diagram is not to scale. a. 27 b. 3 c. 30 d. 15 4
5 Name: 12. B is the midpoint of AC, D is the midpoint of CE, and AE = 21. Find BD. The diagram is not to scale. a b c. 42 d The length of DE is shown. What other length can you determine for this diagram? a. EF = 12 b. DF = 24 c. DG = 12 d. No other length can be determined. 14. Q is equidistant from the sides of TSR. Find m RST. The diagram is not to scale. a. 29 b. 10 c. 25 d. 20 5
6 Name: 15. Which statement is not necessarily true? Given: DE is the bisector of JL. a. DJ = DL b. DE JL c. K is the midpoint of JL. d. DK = KE 16. Find the value of x. The diagram is not to scale. a. 50 b. 64 c. 32 d What is the name of the segment inside the large triangle? a. perpendicular bisector b. altitude c. median d. midsegment 18. In ABC, centroid D is on median AM. AD x 4 and DM 2x 4. Find AM. a. 13 b. 4 c. 12 d. 6 6
7 Name: 19. Name the smallest angle of ABC. The diagram is not to scale. a. A b. C c. Two angles are the same size and smaller than the third. d. B 20. List the sides in order from shortest to longest. The diagram is not to scale. a. LK, LJ, JK b. LJ, LK, JK c. LJ, JK, LK d. LK, JK, LJ 21. Which three lengths can NOT be the lengths of the sides of a triangle? a. 23 m, 17 m, 14 m b. 11 m, 11 m, 12 m c. 5 m, 7 m, 8 m d. 21 m, 6 m, 10 m 22. Two sides of a triangle have lengths 10 and 18. Which inequalities describe the values that possible lengths for the third side? a. x 8andx 28 b. x > 8 and x < 28 c. x > 10 and x < 18 d. x 10 and x m A 9x 7, m B 7x 9, and m C 28 2x. List the sides of ABC in order from shortest to longest. a. AB; AC; BC b. BC ; AB; AC c. AC; AB; BC d. AB; BC ; AC 7
8 Name: Short Answer 24. B is the midpoint of AC and D is the midpoint of CE. Solve for x, given BD 5x 3 and AE 4x 18. 8
9 Final Review Chapter 5 Answer Section MULTIPLE CHOICE 1. ANS: A OBJ: Using Properties of Midsegments 2. ANS: B OBJ: Perpendicular Bisectors and Angle Bisectors 3. ANS: B OBJ: Medians and Altitudes 4. ANS: D OBJ: Perpendicular Bisectors and Angle Bisectors TOP: 5-2 Example 2 5. ANS: A OBJ: Medians and Altitudes TOP: 5-3 Example 3 6. ANS: D OBJ: Perpendicular Bisectors and Angle Bisectors TOP: 5-2 Example 2 7. ANS: C OBJ: Using Properties of Midsegments TOP: 5-1 Example 1 8. ANS: D OBJ: Medians and Altitudes TOP: 5-3 Example 4 9. ANS: A OBJ: Medians and Altitudes TOP: 5-3 Example ANS: A OBJ: Using Properties of Midsegments 11. ANS: B OBJ: Perpendicular Bisectors and Angle Bisectors TOP: 5-2 Example ANS: A OBJ: Using Properties of Midsegments TOP: 5-1 Example ANS: A OBJ: Perpendicular Bisectors and Angle Bisectors TOP: 5-2 Example ANS: C OBJ: Perpendicular Bisectors and Angle Bisectors TOP: 5-2 Example ANS: D OBJ: Perpendicular Bisectors and Angle Bisectors 16. ANS: B OBJ: Using Properties of Midsegments TOP: 5-1 Example ANS: D OBJ: Medians and Altitudes TOP: 5-3 Example ANS: C OBJ: Medians and Altitudes 19. ANS: D OBJ: Inequalities Involving Angles of Triangles TOP: 5-5 Example ANS: C OBJ: Inequalities Involving Sides of Triangles TOP: 5-5 Example ANS: D OBJ: Inequalities Involving Sides of Triangles TOP: 5-5 Example ANS: B OBJ: Inequalities Involving Sides of Triangles TOP: 5-5 Example ANS: A OBJ: Inequalities Involving Sides of Triangles SHORT ANSWER 24. ANS: x 2 OBJ: Using Properties of Midsegments 1
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