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Name: ______________________ Class: _________________ Date: _________ ID: A Geo, Chap 5 Practice Test, EV Ver 1 Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. (5-2) The length of DE is shown. What other length can you determine for this diagram? a. b. EF = 7 DG = 7 c. d. DF = 14 No other length can be determined. ____ 2. (5-5) Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 116 ft from camera 2, which was 140 ft from Camera 3. Cameras 1 and 3 were 147 ft apart. Which camera had to cover the greatest angle? a. camera 3 b. cannot tell c. camera 2 d. camera 1 ____ 3. (5-5) Which three lengths can NOT be the lengths of the sides of a triangle? a. 21 m, 7 m, 11 m c. 5 m, 8 m, 7 m b. 12 m, 13 m, 9 m d. 22 m, 21 m, 12 m 1 Name: ______________________ ID: A Short Answer 4. (5-1) Points B, D, and F are midpoints of the sides of ΔACE. EC = 37 and DF = 17. Find AC. The diagram is not to scale. 5. (5-1) Use the information in the diagram to determine the height of the tree. The diagram is not to scale. 6. (5-1) Find the length of the midsegment. The diagram is not to scale. 2 Name: ______________________ ID: A 7. (5-2) DF bisects ∠EDG. Find the value of x. The diagram is not to scale. 8. (5-2) Q is equidistant from the sides of ∠TSR. Find m∠RST. The diagram is not to scale. 9. (5-3) In ΔACE, G is the centroid and BE = 15. Find BG and GE. 3 Name: ______________________ ID: A 10. (5-3) Name a median for ΔCDE. 11. (5-3) Find the length of AB, given that DB is a median of the triangle and AC = 40. 12. (5-4) What is the contrapositive of this statement? If a figure has four sides, it is a quadrilateral. 13. (5-5) m∠A = 8x − 2, m∠B = 2x − 8, and m∠C = 94 − 4x. List the sides of ΔABC in order from shortest to longest. 4 ID: A Geo, Chap 5 Practice Test, EV Ver 1 Answer Section MULTIPLE CHOICE 1. ANS: OBJ: STA: KEY: 2. ANS: OBJ: TOP: 3. ANS: OBJ: TOP: A PTS: 1 DIF: L2 REF: 5-2 Bisectors in Triangles 5-2.1 Perpendicular Bisectors and Angle Bisectors CA GEOM 2.0| CA GEOM 4.0| CA GEOM 5.0 TOP: 5-2 Example 1 perpendicular bisector | Perpendicular Bisector Theorem C PTS: 1 DIF: L2 REF: 5-5 Inequalities in Triangles 5-5.1 Inequalities Involving Angles of Triangles STA: CA GEOM 2.0| CA GEOM 6.0 5-5 Example 2 KEY: word problem | problem solving | Theorem 5-10 A PTS: 1 DIF: L2 REF: 5-5 Inequalities in Triangles 5-5.2 Inequalities Involving Sides of Triangles STA: CA GEOM 2.0| CA GEOM 6.0 5-5 Example 4 KEY: Triangle Inequality Theorem SHORT ANSWER 4. ANS: 34 PTS: 1 DIF: L2 REF: 5-1 Midsegments of Triangles OBJ: 5-1.1 Using Properties of Midsegments STA: CA GEOM 17.0 TOP: 5-1 Example 1 KEY: midpoint | midsegment | Triangle Midsegment Theorem 5. ANS: 85 ft PTS: OBJ: TOP: KEY: 6. ANS: 19 1 DIF: L2 REF: 5-1 Midsegments of Triangles 5-1.1 Using Properties of Midsegments STA: CA GEOM 17.0 5-1 Example 3 midsegment | Triangle Midsegment Theorem | problem solving PTS: 1 DIF: L3 REF: 5-1 Midsegments of Triangles OBJ: 5-1.1 Using Properties of Midsegments STA: CA GEOM 17.0 KEY: midsegment | Triangle Midsegment Theorem 7. ANS: 11 PTS: OBJ: STA: KEY: 1 DIF: L2 REF: 5-2 Bisectors in Triangles 5-2.1 Perpendicular Bisectors and Angle Bisectors CA GEOM 2.0| CA GEOM 4.0| CA GEOM 5.0 TOP: 5-2 Example 2 Angle Bisector Theorem | angle bisector 1 ID: A 8. ANS: 90 PTS: 1 DIF: L3 REF: 5-2 Bisectors in Triangles OBJ: 5-2.1 Perpendicular Bisectors and Angle Bisectors STA: CA GEOM 2.0| CA GEOM 4.0| CA GEOM 5.0 TOP: 5-2 Example 2 KEY: Converse of the Angle Bisector Theorem | angle bisector 9. ANS: BG = 5, GE = 10 PTS: 1 DIF: L2 OBJ: 5-3.2 Medians and Altitudes TOP: 5-3 Example 3 10. ANS: DF REF: 5-3 Concurrent Lines, Medians, and Altitudes STA: CA GEOM 2.0| CA GEOM 21.0 KEY: centroid | median of a triangle PTS: 1 DIF: L2 OBJ: 5-3.2 Medians and Altitudes TOP: 5-3 Example 4 11. ANS: 20 REF: 5-3 Concurrent Lines, Medians, and Altitudes STA: CA GEOM 2.0| CA GEOM 21.0 KEY: median of a triangle PTS: 1 DIF: L2 REF: 5-3 Concurrent Lines, Medians, and Altitudes OBJ: 5-3.2 Medians and Altitudes STA: CA GEOM 2.0| CA GEOM 21.0 TOP: 5-3 Example 3 KEY: median of a triangle 12. ANS: If a figure is not a quadrilateral, it does not have four sides. PTS: 1 DIF: L2 REF: 5-4 Inverses, Contrapositives, and Indirect Reasoning OBJ: 5-4.1 Writing the Negation, Inverse, and Contrapositive STA: CA GEOM 2.0 TOP: 5-4 Example 2 KEY: contrapositive 13. ANS: AC; AB; BC PTS: 1 DIF: L4 REF: 5-5 Inequalities in Triangles OBJ: 5-5.2 Inequalities Involving Sides of Triangles STA: CA GEOM 2.0| CA GEOM 6.0 KEY: Theorem 5-11 | multi-part question 2