Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1
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Find the values of x, y, and z. The diagram is not to
scale. 
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2
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Find the value of x. The diagram is not to scale.
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3
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If BCDE is congruent to OPQR, then  is congruent to
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4
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ABCD is a parallelogram. If  then  The diagram
is not to scale. 
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5
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Judging by appearance, classify the figure in as many ways as possible.  A | rectangle, square, quadrilateral, parallelogram, rhombus | B | rectangle, square,
parallelogram | C | rhombus, trapezoid, quadrilateral, square | D | square, rectangle,
quadrilateral |
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6
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For the parallelogram, if  and  find  The
diagram is not to scale. 
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7
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If    and  find the
values of x and y for which LMNO must be a parallelogram. The diagram is
not to scale.  A | x = 5, y =  | C | x = 11, y =
 | B | x = 5, y =  | D | x = 11, y =  |
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8
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Lucinda wants to build a square sandbox, but has no way of measuring
angles. Explain how she can make sure that the sandbox is square by only measuring
length.
A | Arrange four equal-length sides so the diagonals bisect each
other. | B | Arrange four equal-length sides so the diagonals are equal lengths
also. | C | Make each diagonal the same length as four equal-length sides. | D | Not possible; Lucinda
has to be able to measure a right angle. |
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9
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Which description does NOT guarantee that a trapezoid is isoscles?
A | congruent diagonals | B | congruent bases | C | both pairs of base
angles congruent | D | congruent legs |
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10
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Find the area. The figure is not drawn to scale.  A | 49 in.2 | B | 598 in.2 | C | 98 in.2 | D | 728
in.2 |
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11
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Find the area. The figure is not drawn to scale.  A | 4.7 cm2 | B | 10.8 cm2 | C | 5.4 cm2 | D | 2.7
cm2 |
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12
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Find the length of the missing side. Leave your answer in simplest radical
form. 
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13
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The length of the hypotenuse of a 30°-60°-90° triangle is
9. Find the perimeter.
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14
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Find the length of the missing side. Leave your answer in simplest radical
form. 
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15
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Wayne used the diagram to compute the distance from Ferris to Dunlap to
Butte. How much shorter is the distance directly from Ferris to Butte than the distance Wayne
found? 
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16
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Find the value of the variable(s). If your answer is not an integer, leave
it in simplest radical form.  Not drawn to scale A | x =  , y = 10 | C | x = 10, y =  | B | x = 30, y =  | D | x =  , y =  |
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17
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Are the polygons similar? If they are, write a similarity statement and
give the similarity ratio.
In DRST, RS = 10, RT =
15, and mÐR = 32. In DUVW, UV = 12, UW = 18, and mÐU = 32.
A |  ;  | C |  ;  | B |  ;  | D | The triangles are not
similar. |
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18
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Find the value of the variable(s). If your answer is not an integer, leave
it in simplest radical form.  A | x = 30, y =  | C | x =  , y =
30 | B | x = 15, y =  | D | x =  , y =
15 |
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19
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Find the area of the trapezoid. Leave your answer in simplest radical
form. 
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20
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A kite has diagonals 3.8 ft and 6 ft. What is the area of the kite?
A | 22.8 ft2 | B | 19.6 ft2 | C | 11.4 ft2 | D | 4.9
ft2 |
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21
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Are the polygons similar? If they are, write a similarity statement and
give the similarity ratio.
In DQRS, QR = 4, RS =
15, and mÐR = 36. In DUVT, VT = 8, TU = 32, and mÐT = 36.
A |  ;  | C |  ;  | B |  ;  | D | The triangles are not
similar. |
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22
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The polygons are similar, but not necessarily drawn to scale. Find the
values of x and y.   A | x =  , y =  | C | x = 9, y =  | B | x =  , y = 27 | D | x = 9, y =
27 |
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23
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Use the information in the diagram to determine the height of the tree to the
nearest foot.  A | 80 ft | B | 264 ft | C | 60 ft | D | 72 ft |
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24
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Find the length of the altitude drawn to the hypotenuse. The triangle is
not drawn to scale.  A | 30 | B |  | C | 125 | D |  |
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25
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The figures are similar. The area of one figure is given. Find the
area of the other figure to the nearest whole number. The area of the larger triangle is 428
ft  .  A | 441 ft | B | 79 ft | C | 2330 ft | D | 81 ft |
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26
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Find the value of x. Round the length to the nearest tenth.  A | 40.6 m | B | 19.5 m | C | 15.4 m | D | 19.7
m |
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27
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Write the tangent ratios for  and  . 
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28
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The students in Mr. Collin’s class used a surveyor’s measuring
device to find the angle from their location to the top of a building. They also measured their
distance from the bottom of the building. The diagram shows the angle measure and the
distance. To the nearest foot, find the height of the building.  A | 2400 ft | B | 72 ft | C | 308 ft | D | 33
ft |
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29
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Write the ratios for sin A and cos A. 
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30
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Find the value of x. Round to the nearest tenth. 
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