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Geometry - 2nd Semester (Post Test)

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 
 
In the given right triangle, find the missing length to the nearest tenth.
 

 1. 

mc001-1.jpg
a.
21.9 ft
b.
1.4 ft
c.
14.5 ft
d.
5.6 ft
 

 2. 

Find the value of w, then x. Round lengths of segments to the nearest tenth.
mc002-1.jpg
a.
w = 13.3, x = 10.2
c.
w = 13.3, x = 23.6
b.
w = 10.8, x = 6.1
d.
w = 10.8, x = 16.9
 

 3. 

The Thomas family wants to fence a cow pasture on their farm. How many meters of fencing do they need to buy?
mc003-1.jpg
a.
34 m
b.
42 m
c.
47 m
d.
98 m
 

 4. 

Find the volume of the composite space figure to the nearest whole number.
mc004-1.jpg
a.
827 mmmc004-2.jpg
b.
1629 mmmc004-3.jpg
c.
552 mmmc004-4.jpg
d.
1152 mmmc004-5.jpg
 
 
Find the value of x. Round to the nearest tenth.
 

 5. 

mc005-1.jpg
a.
10.7
b.
11.1
c.
18.8
d.
18.3
 

 6. 

Find the length of arc XPY. Leave your answer in terms of mc006-1.jpg.
mc006-2.jpg
a.
18mc006-3.jpg m
b.
3mc006-4.jpg m
c.
540mc006-5.jpg m
d.
9mc006-6.jpg m
 

 7. 

Suzanne wants to put a fence around her square garden. If the garden covers an area of 81 ft2, how many feet of fencing does she need?
a.
36 ft
c.
9 ft
b.
324 ft
d.
18 ft
 
 
Find the surface area of the sphere with the given dimension. Leave your answer in terms of nar008-1.jpg.
 

 8. 

diameter of 14 cm
a.
28mc008-1.jpg cmmc008-2.jpg
b.
98mc008-3.jpg cmmc008-4.jpg
c.
784mc008-5.jpg cmmc008-6.jpg
d.
196mc008-7.jpg cmmc008-8.jpg
 

 9. 

The volume of a cylindrical can is 196.25 in.3. The diameter is 5 in. Find the height. Use mc009-1.jpg = 3.14.
a.
19.625 in.
c.
10 in.
b.
6.25 in.
d.
785 in.
 
 
Find the area. The figure is not drawn to scale.
 

 10. 


mc010-1.jpg
a.
144.5 cm2
b.
127 cm2
c.
172 cm2
d.
50 cm2
 

 11. 

mc011-1.jpg
a.
1155 in.2
b.
116 in.2
c.
805 in.2
d.
58 in.2
 

 12. 

A driveway is 11 feet long, 13 feet wide, and 5 inches deep. How many cubic feet of concrete will be required for the driveway? Round your answer to the nearest cubic foot, if necessary.
a.
715 ft3
c.
143 ft3
b.
55 ft3
d.
60 ft3
 

 13. 

Whitney is planning to decorate a blanket with this triangular shape. She plans to cut out 66 triangles with these dimensions. What will be the total area of the triangles?
mc013-1.jpg
a.
16 cm2
b.
2,112 cm2
c.
32 cm2
d.
1,056 cm2
 
 
Find the value of x. Round the length to the nearest tenth.
 

 14. 

mc014-1.jpg
a.
59.2 m
b.
22.7 m
c.
10.6 m
d.
11.7 m
 

 15. 

Find the length of the hypotenuse.
mc015-1.jpg
a.
12
b.
6
c.
5
d.
18
 

 16. 

Jameelah wants to build a fence around her pool. The pool is 28 feet long by 23 feet wide. The fence is to be 18 feet from the edge of the pool.
How many feet of fencing will she need?
a.
222 ft
c.
51 ft
b.
102 ft
d.
148 ft
 

 17. 

Find the surface area of the cylinder to the nearest whole number.
mc017-1.jpg
a.
3770 in.mc017-2.jpg
b.
8520 in.mc017-3.jpg
c.
1144 in.mc017-4.jpg
d.
2375 in.mc017-5.jpg
 

 18. 

A triangle has sides of lengths 10, 24, and 26. Is it a right triangle? Explain.
a.
yes; mc018-1.jpg
c.
no; mc018-3.jpg
b.
yes; mc018-2.jpg
d.
no; mc018-4.jpg
 

 19. 

Find the area of a rectangle with base 9 yd and height 4 ft.
a.
36 ftmc019-1.jpg
b.
36 ydmc019-2.jpg
c.
108 ftmc019-3.jpg
d.
108 ydmc019-4.jpg
 
 
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
 

 20. 

mc020-1.jpg
a.
mc020-2.jpg
b.
mc020-3.jpg
c.
mc020-4.jpg
d.
mc020-5.jpg
 

 21. 

mc021-1.jpg
a.
x = mc021-2.jpg, y = 26
c.
x = mc021-4.jpg, y = 13
b.
x = 13, y = mc021-3.jpg
d.
x = 26, y = mc021-5.jpg
 
 
In the given right triangle, find the missing length.
 

 22. 

mc022-1.jpg
a.
19 m
b.
17 m
c.
18 m
d.
16 m
 

 23. 

Write the ratios for sin A and cos A.
mc023-1.jpg
a.
mc023-2.jpg
c.
mc023-4.jpg
b.
mc023-3.jpg
d.
mc023-5.jpg
 
 
Find the volume of the square pyramid shown. Round to the nearest tenth as necessary.
 

 24. 

mc024-1.jpg
a.
720 cmmc024-2.jpg
b.
1080 cmmc024-3.jpg
c.
60 cmmc024-4.jpg
d.
149 cmmc024-5.jpg
 
 
Find the circumference of the circle. Use p » 3.14.
 

 25. 

mc025-1.jpg
a.
7 m
b.
3.5 m
c.
21.98 m
d.
38 m
 
 
Use formulas to find the lateral area and surface area of the given prism. Show your answer to the nearest whole number.
 

 26. 

mc026-1.jpg
a.
432 mmc026-2.jpg; 486 mmc026-3.jpg
c.
162 mmc026-6.jpg; 486 mmc026-7.jpg
b.
162 mmc026-4.jpg; 324 mmc026-5.jpg
d.
432 mmc026-8.jpg; 324 mmc026-9.jpg
 
 
Find the surface area of the pyramid shown to the nearest whole number.
 

 27. 

mc027-1.jpg
a.
22 ftmc027-2.jpg
b.
72 ftmc027-3.jpg
c.
128 ftmc027-4.jpg
d.
56 ftmc027-5.jpg
 

 28. 

mc028-1.jpg and mc028-2.jpg are diameters. Find the measure of arc ZWX. (The figure is not drawn to scale.)
mc028-3.jpg
a.
70
b.
246
c.
290
d.
224
 

 29. 

The figure represents the overhead view of a deck surrounding a hot tub. What is the area of the deck? Use mc029-1.jpg = 3.14.
mc029-2.jpg
a.
24.6176 m2
c.
75.3914 m2
b.
50.7738 m2
d.
276.948 m2
 

 30. 

Find the perimeter of the rectangle with length 77 inches and width 41 inches.
a.
118 in.
b.
236 in.
c.
195 in.
d.
3,157 in.
 
 
Find the length of the missing side. Leave your answer in simplest radical form.
 

 31. 

mc031-1.jpg
a.
mc031-2.jpg m
b.
170 m
c.
mc031-3.jpg m
d.
mc031-4.jpg m
 

 32. 

In triangle ABC, mc032-1.jpg is a right angle and mc032-2.jpg 45°. Find BC. If you answer is not an integer, leave it in simplest radical form.
mc032-3.jpg
a.
7 ft
b.
7mc032-4.jpg ft
c.
14mc032-5.jpg ft
d.
14 ft
 



 
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