University:
College
Course:
College Mathematics
Academic year:

2021
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428

Pages:

5
Author:

larbiwxcvbn

Name: ______________________ Class: _________________ Date: _________ Geo, Chap 5 Practice Test 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 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. 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. 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. Geo, Chap 5 Practice Test Answer Section MULTIPLE CHOICE 1. ANS: A KEY: perpendicular bisector | Perpendicular Bisector Theorem 2. ANS: C 3. ANS: A KEY: word problem | KEY: Triangle Inequality Theorem SHORT ANSWER 4. ANS: 34 KEY: midpoint | midsegment | Triangle Midsegment Theorem 5. ANS: 85 ft KEY: midsegment | Triangle Midsegment Theorem | problem solving 6. ANS: 19 KEY: midsegment | Triangle Midsegment Theorem 7. ANS: 11 KEY: Angle Bisector Theorem | angle bisector 8. ANS: 90 KEY: Converse of the Angle Bisector Theorem | angle bisector 9. ANS: BG = 5, GE = 10 KEY: centroid | median of a triangle 10. ANS: DF KEY: median of a triangle 11. ANS: 20 KEY: median of a triangle 12. ANS: If a figure is not a quadrilateral, it does not have four sides. 13. ANS: AC; AB; BC KEY: Theorem 5-11 | multi-part question KEY: contrapositive