GEOMETRY QUARTER #2 TEST #3 REVIEW SHEET
Mean Proportions
Find x in each of the following.
1.
3
2.
3.
4.
x
10
x
8
2
x
6
15
5
x
4
5. In right triangle ABC, altitude AD is drawn to hypotenuse BC. If AD = 10 and BD is
21 more than DC, find DC.
Pythagorean Theorem
6. Can 6, 8, and 10 be sides of a right triangle?
7. Can 8, 11, and 13 be sides of a right triangle?
Find the length of the missing side.
8.
9.
8
10.
13
6
6
7
12
11. A 12-foot ladder is leaning against a building. If the ladder rests 7 feet up the
building, how far, to the nearest hundredth, is the foot of the ladder from the base
of the building?
12. A cable 36 meters long runs from the top of a utility pole to a point on the ground 25
meters from the base of the pole. How tall is the utility pole, to the nearest tenth?
Special Right Triangles
Find the length of each missing side.
13. B
14.
B
15.
C
3 5
A
16.
6
C
B
A
17.
8
11
C
B
5 2
30
A
C
A
C
A
B
18. Find the length of the diagonal of a square whose side is 7.
19. Find the altitude of an equilateral triangle whose side measures 14.
20. Find the length of a side of an equilateral triangle whose altitude is 9.
Find the area of each parallelogram.
21.
22.
6
30
23.
8
3
30
13
60
5
7
Trigonometry
Review Topics
1. x = 2 6
2. x = 10
ANSWER KEY
3. x = 4
113
9.
13. AB = 6
BC = 6 2
5. DC = 4
7. No b/c 82 + 112  132
6. Yes b/c 62 + 82 = 102
8.
4. x = 5
10. 6 3
11. 9.75 ft
14. AB =
11 2
2
15. AB = 3 5
BC =
11 2
2
133
12. 25.9 m
AC = 3 10
16. AB = 4
AC = 4 3
17. AB = 10 2
AC = 5 6
18. 7 2
20. 6 3
21. A = 39 sq units
22. A = (15 + 9 3 ) sq units
23. A = 44 3 sq units
19. 7 3