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Geometry Chapter 9 Practice Test



 1. 

A kite frame consists of two perpendicular pieces of wood placed along the diagonals. Decorative binding will be placed along the perimeter of the kite. To the nearest tenth of an inch, how much binding is needed?
mc001-1.jpg
a.
70.0 in.
c.
100.7 in.
b.
90.4 in.
d.
140.0 in.
 

 2. 

Verify that segments with lengths of 21 inches, 72 inches, and 75 inches form a triangle. If so, determine whether they form a right triangle.

 

 3. 

Find the value of x. Write your answer in simplest form.

mc003-1.jpg
a.
mc003-2.jpg
c.
mc003-4.jpg
b.
mc003-3.jpg
d.
mc003-5.jpg
 

 4. 

Find the values of x and y. Write your answer in simplest form.

mc004-1.jpg
a.
mc004-2.jpg
c.
mc004-4.jpg
b.
mc004-3.jpg
d.
mc004-5.jpg
 

 5. 

A “Yield” traffic sign has the shape of an equilateral triangle with a side length of 36 inches. What is the height of the sign?
a.
The Yield sign is about 33.7 inches tall.
b.
The Yield sign is about 31.2 inches tall.
c.
The Yield sign is about 25.5 inches tall.
d.
The Yield sign is about 50.9 inches tall.
 

 6. 

A 12-foot ladder is leaning up against the side of a house. The ladder makes an angle of mc006-1.jpg with the ground. How far up the side of the house does the ladder reach? Round your answer to the nearest tenth.
a.
6.0 feet
c.
1.7 feet
b.
8.5 feet
d.
10.4 feet
 

 7. 

Find the geometric mean of 6 and 9.
a.
mc007-1.jpg
c.
mc007-3.jpg
b.
mc007-2.jpg
d.
mc007-4.jpg
 

 8. 

The altitude to the hypotenuse of a right triangle has a length of 12. What could be the lengths of the two segments of the hypotenuse?

mc008-1.jpg
a.
2 and 6
c.
6 and 24
b.
2 and 8
d.
6 and 30
 

 9. 

Find AB. If necessary, give the answer in simplest radical form.

sa009-1.jpg
 

 10. 

What is the value of mc010-1.jpg?
mc010-2.jpg
a.
4.5
d.
10.5
b.
7.5
e.
12.5
c.
10
 

 11. 

What is tan K?

mc011-1.jpg
a.
mc011-2.jpg
c.
mc011-4.jpg
b.
mc011-3.jpg
d.
mc011-5.jpg
 

 12. 

Find sin mc012-1.jpg and sin mc012-2.jpg.

mc012-3.jpg
a.
sin mc012-4.jpg, sin mc012-5.jpg
c.
sin mc012-8.jpg, sin mc012-9.jpg
b.
sin mc012-6.jpg, sin mc012-7.jpg
d.
sin mc012-10.jpg, sin mc012-11.jpg
 

 13. 

Write cos 16° in terms of the sine.
a.
sin 164°
c.
sin 84°
b.
sin 74°
d.
sin 16°
 

 14. 

A skateboard ramp makes a 22sa014-1.jpg angle with the ground. To the nearest foot, how high is the ramp?

sa014-2.jpg
 

 15. 

A camera is mounted at a point 4,100 ft from the base of a rocket launching pad. Assuming the rocket rises vertically, what is the height of the rocket from its base when the camera angle is 27°? Round your answer to the nearest foot.
a.
2,089 ft
c.
1,861 ft
b.
8,047 ft
d.
3,653 ft
 

 16. 

Stefan and Angela are building a skateboard ramp with the dimensions shown. To find the height of the ramp, Stefan says they should use the expression sa016-1.jpg. Angela says they should use the expression sa016-2.jpg.
sa016-3.jpg

Whose expression is correct? What error did the other person make? What is the height of the ramp? Round your answer to the nearest tenth.
 

 17. 

A helicopter pilot sights a landmark at an angle of depression of 22mc017-1.jpg. The altitude of the helicopter is 1450 feet. To the nearest foot, what is the distance from the helicopter to the landmark.
a.
543 ft
c.
3589 ft
b.
586 ft
d.
3871 ft
 

 18. 

A blueprint of a table is shown below. What is the area of the table to the nearest tenth of a square foot? (Picture is not to scale.)

mc018-1.jpg
a.
mc018-2.jpg
b.
mc018-3.jpg
 

 19. 

Use the given measurements to solve DABC. Round to the nearest tenth.

mc019-1.jpg
a.
mc019-2.jpg 21.2; mc019-3.jpg 84.9°; mc019-4.jpg 32.1°
b.
mc019-5.jpg; mc019-6.jpg; mc019-7.jpg
c.
mc019-8.jpg 18.8; mc019-9.jpg 97.6°; mc019-10.jpg 19.4°
d.
mc019-11.jpg 20.1; mc019-12.jpg 90.5°; mc019-13.jpg 26.5°
 

 20. 

A shelf extends perpendicularly 26 cm from a wall. You want to place a 32 cm brace under the shelf, as shown below.
pr020-1.jpg
a.      To the nearest tenth, how far below the shelf should the brace be attached to the wall?
b.      To the nearest degree, what angle does the brace make with the wall?
c.      To the nearest degree, what angle does the brace make with the shelf?
 

 21. 

A stone wall forms a mc021-1.jpg angle with the side of a house that is 10 yards long. A fence is being constructed that will form an mc021-2.jpg angle with the house, as shown. How much fencing must be used to enclose the area between the house and the stone wall?
mc021-3.jpg
a.
10 yd
b.
12.2 yd
c.
14.8 yd
d.
16.4 yd
 



 
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