Name:     ID: 
 
Email: 

Geometry Semester Test Practice

 
Find the scale factor you can apply to figure A to get figure B.
 

 1. 
mc001-1.jpg
a.
mc001-2.jpg
c.
mc001-3.jpg
b.
4
d.
mc001-4.jpg
 

 2. 
A blueprint for a house has a scale of 1 : 20. A wall in the blueprint is 4 in. What is the length of the actual wall?
a.
6.67 in.
b.
80 feet
c.
960 feet
d.
6.67 feet
 
 
Use the figure for the following exercises. nar002-1.jpg.
nar002-2.jpg
 

 3. 
When AD = 5, DB = 7.5, and AE = 3, what is EC?
a.
4.5
b.
4
c.
6
d.
12.5
 

 4. 
You increase the width of a rectangle by the factor 6. You decrease the length by the factor 7. What is the ratio of the area of the new rectangle to the area of the original rectangle?
a.
mc004-1.jpg
c.
42
b.
mc004-2.jpg
d.
7
 

 5. 
You increase the lengths of the sides of a cube by the factor 3. What is the ratio of the volume of the new cube to that of the original?
a.
27
c.
3
b.
9
d.
mc005-1.jpg
 

 6. 
Find the value of x. The diagram is not to scale.
mc006-1.jpg
a.
98
b.
80
c.
76
d.
40
 

 7. 
Find the value of the variable. The diagram is not to scale.
mc007-1.jpg
a.
12
b.
34
c.
22
d.
68
 

 8. 
Find the length of the midsegment. The diagram is not to scale.
mc008-1.jpg
a.
38
b.
mc008-2.jpg
c.
52
d.
104
 
 
Complete each statement. nar003-1.jpg
nar003-2.jpg
 

 9. 
mc009-1.jpg
a.
C
c.
B
b.
F
d.
A
 

 10. 
mc010-1.jpg
a.
EFD
c.
FED
b.
FDE
d.
DFE
 

 11. 
The scale on a map is 1 cm : 8 km. If two cities are 15 cm apart on the map, what is the actual distance between the cities?
a.
1.88 km
b.
960 km
c.
15 km
d.
120 km
 

 12. 
The area of a regular octagon is 35 cmmc012-1.jpg. What is the area of a regular octagon with sides five times as large?
a.
175 cmmc012-2.jpg
b.
625 cmmc012-3.jpg
c.
245 cmmc012-4.jpg
d.
875 cmmc012-5.jpg
 

 13. 
The radii of two circles are 5 and 15. What is the ratio of the areas?
a.
1 : 9
c.
1 : 15
b.
1 : 3
d.
1 : 5
 
 
Find the area of the circle. Leave your answer in terms of nar004-1.jpg.
 

 14. 
mc014-1.jpg
a.
162mc014-2.jpg m2
b.
39mc014-3.jpg m2
c.
81mc014-4.jpg m2
d.
324mc014-5.jpg m2
 

 15. 
Find the area of the figure to the nearest tenth.
mc015-1.jpg
a.
7.2 in.2
b.
36 in.2
c.
11.5 in.2
d.
72 in.2
 
 
Find the circumference. Leave your answer in terms of nar005-1.jpg.
 

 16. 
mc016-1.jpg
a.
mc016-2.jpg in.
b.
mc016-3.jpg in.
c.
mc016-4.jpg in.
d.
mc016-5.jpg in.
 

 17. 
The circumference of a circle is 62mc017-1.jpg cm. Find the diameter, the radius, and the length of an arc of 190°.
a.
62 cm; 124 cm; 16.4mc017-2.jpg cm
c.
31 cm; 62 cm; 16.4mc017-4.jpg cm
b.
62 cm; 31 cm; 32.7mc017-3.jpg cm
d.
124 cm; 31 cm; 185mc017-5.jpg cm
 

 18. 
Find the length of arc XPY. Leave your answer in terms of mc018-1.jpg.
mc018-2.jpg
a.
3mc018-3.jpg m
b.
540mc018-4.jpg m
c.
9mc018-5.jpg m
d.
18mc018-6.jpg m
 
 
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.
 

 19. 
mc019-1.jpg
a.
44
b.
46
c.
92
d.
22
 

 20. 
Find the value of x.
mc020-1.jpg
a.
28
b.
34
c.
56
d.
112
 

 21. 
Find the value of x.mc021-1.jpg
a.
14
b.
18.3
c.
128
d.
3.5
 

 22. 
AB = 15, BC = 6, and CD = 7
mc022-1.jpg
a.
18
b.
11
c.
12.86
d.
14.71
 

 23. 
Find the value of x. mc023-1.jpg 111
mc023-2.jpg
a.
249
b.
69
c.
55.5
d.
222
 

 24. 
Find the probability that a point chosen at random will lie in the shaded area.
mc024-1.jpg
a.
0.12
b.
0.94
c.
0.42
d.
0.32
 

 25. 
Find the geometric mean of 4 and 5
a.
mc025-1.jpg
b.
mc025-2.jpg
c.
20
d.
mc025-3.jpg
 

 26. 
Find the arithmetic mean of 3 and 8
a.
24
b.
11
c.
5.5
d.
mc026-1.jpg
 
 
Find the length of the missing segment.
 

 27. 
mc027-1.jpg
a.
mc027-2.jpg
b.
24
c.
10
d.
mc027-3.jpg
 

 28. 
Find the area of an equilateral triangle with side 6 in.
a.
15.6 in.2
c.
18 in.2
b.
4.2 in.2
d.
62.4 in.2
 
 
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
 

 29. 
mc029-1.jpg
a.
mc029-2.jpg
b.
mc029-3.jpg
c.
mc029-4.jpg
d.
mc029-5.jpg
 

 30. 
mc030-1.jpg
a.
x = mc030-2.jpg, y = 20
c.
x = 10, y = mc030-4.jpg
b.
x = mc030-3.jpg, y = 10
d.
x = 20, y = mc030-5.jpg
 

 31. 
mc031-1.jpg
a.
mc031-2.jpg
b.
mc031-3.jpg
c.
mc031-4.jpg
d.
mc031-5.jpg
 

 32. 
The length of the hypotenuse of a 30°-60°-90° triangle is 12. Find the perimeter.
a.
12 + 36mc032-1.jpg
c.
mc032-5.jpg + mc032-6.jpgmc032-7.jpg
b.
mc032-2.jpg + mc032-3.jpgmc032-4.jpg
d.
36 + 12mc032-8.jpg
 

 33. 
Write the ratios for sin A and cos A.
mc033-1.jpg
a.
mc033-2.jpg
c.
mc033-4.jpg
b.
mc033-3.jpg
d.
mc033-5.jpg
 
 
Find the value of x. Round to the nearest tenth.
 

 34. 
mc034-1.jpg
a.
10.7
b.
27.6
c.
10.5
d.
28
 
 
Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.
 

 35. 
mc035-1.jpg
a.
45.3 cmmc035-2.jpg
b.
520.1 cmmc035-3.jpg
c.
90.7 cmmc035-4.jpg
d.
4 cmmc035-5.jpg
 

 36. 
In mc036-1.jpg, j = 10 ft, k = 5 ft, and mc036-2.jpg = 25°. Find mc036-3.jpg.
a.
14°
b.
21°
c.
46°
d.
29°
 
 
Find the volume of the solid. Round to the nearest tenth if necessary.
 

 37. 
mc037-1.jpg
a.
282.6 m3
b.
47.1 m3
c.
235.5 m3
d.
141.3 m3
 

 38. 
Find the volume of the solid. Round to the nearest tenth. mc038-1.jpg
a.
84 in.3
b.
21 in.3
c.
6 in.3
d.
42 in.3
 

 39. 
Find the volume of the solid. Round to the nearest tenth. mc039-1.jpg
a.
904.3 cm3
b.
2713 cm3
c.
508.7 cm3
d.
150.7 cm3
 

 40. 
Find the volume of the solid. Round to the nearest unit. mc040-1.jpg
a.
1,230 mmc040-2.jpg
b.
1,806 mmc040-3.jpg
c.
602 mmc040-4.jpg
d.
1,374 mmc040-5.jpg
 

 41. 
Find the volume of the solid. Round to the nearest tenth.
mc041-1.jpg
Not drawn to scale
a.
mc041-2.jpg
b.
mc041-3.jpg
c.
mc041-4.jpg
d.
mc041-5.jpg
 

 42. 
A cylinder has a volume of 13 cm3. If the radius is doubled, what is the volume of the new cylinder?
a.
208 cm3
b.
52 cm3
c.
104 cm3
d.
26 cm3
 
 
Find the surface area of the sphere. Use 3.14 for nar012-1.jpg and round to the nearest tenth.
 

 43. 
mc043-1.jpg
a.
602.9 in.mc043-2.jpg
b.
150.7 in.mc043-3.jpg
c.
452.2 in.mc043-4.jpg
d.
1,808.6 in.mc043-5.jpg
 

 44. 
M(4, 6) is the midpoint of mc044-1.jpg The coordinates of S are (5, 9). What are the coordinates of R?
a.
(6, 12)
b.
(4.5, 7.5)
c.
(3, 3)
d.
(8, 12)
 

 45. 
Find the midpoint of mc045-1.jpg.
mc045-2.jpg
a.
(16, 4)
b.
(–2, 3)
c.
(2, –1)
d.
(–4, 8)
 

 46. 
Find the distance between (3, 1) and (5, 3). If necessary, round to the nearest tenth.
a.
80 units
b.
8.9 units
c.
2.8 units
d.
8 units
 
 
Are the graphs of the lines in the pair parallel? Explain.
 

 47. 
y = 4x – 9
28x – 4y = –112
a.
Yes, since the slope are the same and the y-intercepts are the same.
b.
Yes, since the slopes are the same and the y-intercepts are different.
c.
No, since the y-intercepts are different.
d.
No, since the slopes are different.
 
 
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
 

 48. 
3x – 6y = 14; (–2, 10)
a.
y = mc048-1.jpgx + 6
c.
y = mc048-3.jpgx + 6
b.
y = mc048-2.jpgx + 18
d.
y = mc048-4.jpgx + 6
 

 49. 
Find the slope of a line that is perpendicular to mc049-1.jpg.
P(–6, –6), Q(4, 5)
a.
mc049-2.jpg
b.
mc049-3.jpg
c.
mc049-4.jpg
d.
mc049-5.jpg
 

 50. 
A cube has side length 8. What is the length of a diagonal of the cube?
a.
13.9
c.
8
b.
11.3
d.
4.9
 



 
         Start Over