Multiple Choice
Identify the choice that best completes the statement or answers the question.
Solve the proportion.
1.
a.
b.
c.
d.
2. Determine whether the figures are similar.
a. similar
b. not similar
c. not enough information
The polygons are similar, but not necessarily drawn to scale. Find the values of x and y.
3. The pentagons are regular.
a. x = 27, y = 4
b. x = 27, y = 5
c. x = 28, y = 5
d. x = 28, y = 4
Explain why the triangles are similar. Then find the value of x.
4.
a.
c.
SSS Postulate;
SAS Postulate;
b.
d.
AA Postulate;
AA Postulate;
Find the geometric mean of the pair of numbers.
5. 175 and 7
a. 55
6. Given , solve
a.
b. 45
c. 35
d. 40
for x.The diagram is not drawn to scale.
b.
c.
d.
Find the length of the missing side. The triangle is not drawn to scale.
7.
a. 35
b. 49
c. 7
d. 2
8. Find the lengths of the missing sides in the triangle. Write your answers as integers or as
decimals rounded to the nearest tenth.
a. x = 7, y = 9.9
b. x = 9.9, y = 7
c. x = 4.9, y = 6.1
d. x = 6.1, y = 4.9
Find the value of the variable(s). If your answer is not an integer, leave it in simplest
radical form.
9.
Not drawn to scale
a. x =
,y=
c. x =
, y = 10
d. x = 30, y =
b. x = 10, y =
10. Find the value of x and y rounded to the nearest tenth.
a. x = 48.1, y = 46.4
b. x = 48.1, y = 139.3
11. Write the tangent ratios for
a.
c. x = 24.0, y = 139.3
d. x = 24.0, y = 46.4
and
.
c.
b.
d.
Find the value of x. Round your answer to the nearest tenth.
12.
a. 3.3
b. 3.1
c. 24.7
d. 8.5
13. A large totem pole in the state of Washington is 100 feet tall. At a particular time of day, the
totem pole casts a 249-foot-long shadow. Find the measure of
to the nearest degree.
a. 68
b. 45
c. 35
14. Write the ratios for sin X and cos X.
a.
c.
b.
d.
Find the value of x. Round to the nearest tenth.
d. 22
15.
a. 12.5
b. 10
c. 13
d. 9.7
a. 10.3
b. 31.4
c. 10.7
d. 31.8
16.
17. Find the value of w and then x. Round lengths to the nearest tenth and angle measures to the
nearest degree.
a. w = 7.7, x = 44
b. w = 6.4, x = 54
c. w = 7.7, x = 54
d. w = 6.4, x = 44
Find the area. The figure is not drawn to scale.
18.
a.
b.
c.
d.
19.
a. 10.8 cm2
b. 5.4 cm2
c. 21.6 cm2
d. 7.4 cm2
a. 77.2 in.2
b. 80 in.2
c. 75 in.2
d. 70 in.2
20.
21. A fly lands at random at a point on the grid. Find the probability of the fly landing on the figure.
a.
b.
c.
d.
22. Find the area of the rhombus. Leave your answer in simplest radical form.
a.
b.
c.
d.
23. Given the regular hexagon, find the measure of each numbered angle.
a.
b.
c.
d.
24. Find the area of a regular hexagon with an apothem 16.5 feet long and a side 19 feet long. Round
your answer to the nearest tenth.
a. 156.3 ft2
b. 625.3 ft2
c. 1875.8 ft2
d. 937.9 ft2
The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the
first figure to the second. The figures are not drawn to scale.
25.
a. 5 : 6 and 25 : 36
b. 6 : 7 and 36 : 49
c. 5 : 6 and 36 : 49
d. 6 : 7 and 25 : 36