Download Ch. 5 Review – BLANK

Name: ____________________________________________
Chapter 5 Test Review (5.2, 5.3, 5.6, 5.7)
Sections 5.2 & 5.3
Find the value of the unknown variables in each diagram.
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2.
3.
4.
Determine whether A must be on the bisector of LMN. Explain.
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Name: ____________________________________________
For #7-9, name the point of concurrency of the angle bisectors.
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8.
Point ________
9.
Point ________
For #10-11, find the coordinates of the circumcenter of each triangle.
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11. A (1, 3)
B (4, 3)
C (4, 2)
For #12-15, find the value of x.
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14.
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15.
Point ________
Name: ____________________________________________
Use the figure at the right for Exercises 16–19.
16. Find the value of x.
17. Find the length of AD.
18. Find the value of y.
19. Find the length of EG.
Section 5.6
20. Explain the relationship between the angles? Which is biggest and how do you know?
For exercises 21-23, list the angles of the triangle in order from smallest to largest.
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23. ∆XYZ, where XY = 25, YZ = 11, and XZ = 15
For #24-25, list the angles from largest to smallest.
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25.
Name: ____________________________________________
Can a triangle have sides with the given lengths? Explain.
26. 10 in., 13 in., 18 in.
27. 6 m, 5 m, 12 m
28. 11 ft, 8 ft, 18 ft
The lengths of two sides of a triangle are given. Find the range of possible lengths
for the third side.
29. 4, 8
30. 13, 8
Section 5.7
Write an inequality relating the given side lengths. If there is not enough information to reach a
conclusion, write no conclusion
31. AB and CB
32. JL and MO
36. Two identical laptops are shown at the right.
In which laptop is the distance from the top edge of
the screen to the front edge of the keyboard greater?
Explain.
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33.
Name:
____________________________________________
Find the range of possible values for each variable.
37.
38.
39. The diagram shows two paths that
lead through a park. Would a jogger
run a greater distance on Path A or
Path B? Explain.
Write an inequality relating the given angle measures.
40. mM and mR
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41. mU and mX
Name: __________________________________________ Mods: __________ Date: ________________
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