GEOMETRY QUARTER #2 TEST #3 REVIEW SHEET



GEOMETRY QUARTER #2 TEST #3 REVIEW SHEET

Mean Proportions

Find x in each of the following.

1. 3 2. 3. 4.

x 10 6

x 8 2 x

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. 10.

8 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

[pic]

A 6 C A 11 C A B

16. B 17. B

8 [pic]

30

A C A C

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. 23.

6 3 8

30 30 60

13 5 7

Trigonometry

Review Topics

ANSWER KEY

1. x = [pic] 2. x = 10 3. x = 4 4. x = 5 5. DC = 4

6. Yes b/c 62 + 82 = 102 7. No b/c 82 + 112 [pic] 132

8. [pic] 9. [pic] 10. [pic] 11. 9.75 ft 12. 25.9 m

13. AB = 6 14. AB = [pic] 15. AB = [pic]

BC = [pic] BC = [pic] AC = [pic]

16. AB = 4 17. AB = [pic] 18. [pic] 19. [pic]

AC = [pic] AC = [pic]

20. [pic] 21. A = 39 sq units 22. A = (15 + 9[pic]) sq units

23. A = 44[pic] sq units

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