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Name _______________________________________ Date ___________________ Class __________________ 1. AB 18.5, AX 8.1 and BC 18.5. What is the length of AC ? A 8.1 B 9.25 C 16.2 D 18.5 5. X is formed from the intersection of the angular bisectors of the NPQ. What MUST be true? A KN KP C XM KX B XN QX D NM QL 6. If G is the centroid of ABC, what MUST be true? 2. JK has endpoints J(1, 3) and K(3, 5). The intersection of JK and its perpendicular bisector is (2, 4). Which is the equation for the perpendicular bisector of JK ? A y 4 1(x 2) B y 4 1(x 2) A FG EG 2 B CG CD 3 C y 5 1(x 3) D y 5 1(x 3) 3. What is true about DEY and FEY? 8. A midsegment connecting two sides of a triangle is parallel to the third side and equal to which measurement? A 2 times the third side B A mDEY mFEY 90° 1 times the third side 2 9. CA is a midsegment of VTU. What is the measure of BCA? B mDEY mFEY A 40° B 50° Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date ___________________ Class __________________ 11. Which inequality best describes the possible lengths of the third side of a triangle with two sides of lengths 11 and 9? 14. What is the value of x? A 9 s 11 B 11 s 9 C 2 s 20 D 2 s 20 Use the figures for Exercises 12 and 13. A 13 B 17 C 119 D 169 15. Which number forms a Pythagorean triple with 8 and 10? A 6 B 15 12. Which shows the angles of FED in order from smallest to largest? 16. What is the classification of ABC with side lengths 7, 11, and 13? A D, E, F A acute B F, D, E B obtuse C E, F, D D D, F, E 17. What is the value of x? 13. Compare E and H. A H E B E H A 2 8 B 8 C 8 2 D 128 18. What is the value of y? A 3 4 B 4 C 4 3 D 8 Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date ___________________ Class __________________ 1. Find AB. 5. GX and HX are angle bisectors of GHJ. Find mXHG and the distance from X to GH . ________________________________________ 2. Identify the point of intersection of the segment with endpoints (2, 4) and (2, 8) and its perpendicular bisector. ________________________________________ 6. If MX 15, find MW. ________________________________________ 3. Find FY. ________________________________________ ________________________________________ Use the figure for Exercises 8 and 9. 4. TS, TR, and TQ are the perpendicular bisectors of NPO. Find QO, RP, and PT. 8. Find CB. ________________________________________ ________________________________________ 9. Find mCAV. ________________________________________ 11. Write True or False. The measures 10, 12, and 16 can be the side lengths of a triangle. ________________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date ___________________ Class __________________ Use the figures for Exercises 12 and 13. 15. Write True or False. A right triangle has sides that measure 5, 12, and 13. The side lengths form a Pythagorean triple. ________________________________________ 12. Write the sides of FED in order from smallest to largest. 16. The measures of the side lengths of a triangle are 3, 4, and 5. Classify the triangle as acute, right, or obtuse. ________________________________________ ________________________________________ 13. Compare FD and GJ. 17. Find the value of x. ________________________________________ 14. Find the value of x. ________________________________________ 18. Find the values of x and y. ________________________________________ ________________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date ___________________ Class __________________ Multiple Choice 1. C 2. B 11. D 3. B 12. D 13. B 5. C 14. A 6. B 15. A 16. A 8. B 17. C 9. A 18. D Free Response 1. 2. 3. 4. 5. 12.5 (2, 6) 17.25 QO 3.75, RP 3.4, and PT 4.5 mXHG 39°; the distance from X to GH 14.2. 6. MW 10 8. 21.25 9. 45° 11. True 12. FE, ED, DF 13. 14. 15. 16. FD GJ 10 True right 17. 5 2 18. x 7 3; y 14 16. 2 x 4 3 17. 24 cm 18. 288 3 in2 or about 498.8 in2 Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry