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Transcript
```Geometry
Chapter 5 Test Review
Name ____________________________
Date ___________________ Hour_____
DE is a midsegment of ABC. Find the value of x.
1.
2.
3.
In JKL, R, S and T are midpoints. Copy and complete the statement.
4. ST ║__?__
5. RT ║__?__
6.
7.
8.
9.
KL ║__?__
SL  __?__  __?__
ST  __?__  __?__
JR  __?__  __?__
Use GHJ, where D, E, and F are midpoints of the sides.
10. If DE = 4x + 5 and GJ = 3x + 25, what is DE?
11. If EF = 2x + 7 and GH = 5x  1, what is EF?
12. If HJ = 8x  2 and DF = 2x + 11, what is HJ?
13. Swing Set You are assembling the frame for a swing set. The horizontal crossbars in the kit you
purchased are each 36 inches long. You attach the crossbars at the midpoints of the legs. At each end of
the frame, how far apart will the bottoms of the legs be when the frame is assembled? Explain.
Find the length of AB.
14.
15.
16.
Tell whether the information in the diagram allows you to conclude that C is on the perpendicular
bisector of AB .
17.
18.
19.
Use the diagram. EH is the perpendicular bisector of DF . Find the indicated measure.
20. Find EF.
23. Find DG.
21. Find DE.
24. Find FH.
22. Find FG.
25. Find DF.
Use the information in the diagram to find the measure.
27. Find mEFH.
28. Find mJKL.
Can you conclude that ray BD bisects ABC? Explain.
29.
30.
31.
Find the value of x.
32.
33.
34.
Can you find the value of x? Explain.
35.
36.
37.
BD is a median of ABC. Find the length of AD .
38.
Use the graph shown.
40.
a.
39.
Find the centroid of the given triangle.
Then verify your results by finding the centroid in the graph.
41.
Find the centroid of the given triangle.
Then verify your results by finding the centroid in the graph.
Is BD a median of ABC? Is BD an altitude? a perpendicular bisector?
42.
43.
List the sides and the angles in order from smallest to largest.
44.
Sides: ______, ______, ______
Angles:______, ______, _____
45.
Sides: ______, ______, ______
Angles:______, ______, _____
46.
Sides: ______, ______, ______
Angles:______, ______, _____
47.
Sides: ______, ______, ______
Angles:______, ______, _____
Is it possible to construct a triangle with the given side lengths? If not, explain why not.
48. 3, 4, 5
49. 1, 4, 6
Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
50. 6 in., 9 in.
51. 4 ft, 12 ft
Describe the possible values of x.
52.
Complete with <, >, or =.
53. AB __?__ DE
56. m1 __?__ m2
54. FG __?__ LM
57. MS __?__ LS
55. m1 __?__ m2
58. m1 __?__ m2
Use the Hinge Theorem or its converse and properties of triangles to write and solve an inequality to
describe a restriction on the value of x.
59.
60.
```
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