Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
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1.
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Find BD. 
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2.
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If T is the midpoint of  find the values of x and
ST. The diagram is not to scale. a. | x = 5, ST = 35 | c. | x = 5, ST =
48 | b. | x = 10, ST = 48 | d. | x = 10, ST =
35 |
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3.
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A grid shows the positions of a subway stop and your house. The subway stop is
located at (8, –9) and your house is located at (1, 3). What is the distance, to the nearest
unit, between your house and the subway stop?
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4.
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Find the coordinates of the midpoint of the segment whose endpoints are
H(3, 14) and K(7, 4).
a. | (10, 18) | b. | (5, 9) | c. | (2, 5) | d. | (4,
10) |
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5.
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Which statement is true?  a. |  are alternate angles. | b. |  are
alternate angles. | c. |  are same-side interior
angles. | d. |  are same-side interior
angles. |
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6.
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Line r is parallel to line t. Find m 5. The
diagram is not to scale. 
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7.
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Find  The diagram is not to scale. 
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8.
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Find the values of x and y. The diagram is not to scale.  a. | x = 70, y = 68 | c. | x = 68, y =
72 | b. | x = 68, y = 70 | d. | x = 42, y =
70 |
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9.
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Find the area of a rectangle with base 9 yd and height 2 ft.
a. | 54 ft | b. | 54 yd | c. | 18 yd | d. | 18 ft |
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Find the area. The figure is not drawn to scale.
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10.
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a. | 78 in.2 | b. | 1505 in.2 | c. | 1849 in.2 | d. | 156
in.2 |
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11.
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a. | 144.5 cm2 | b. | 127 cm2 | c. | 172 cm2 | d. | 50
cm2 |
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12.
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Whitney is planning to decorate a blanket with this triangular shape. She plans
to cut out 70 triangles with these dimensions. What will be the total area of the triangles?  a. | 20 cm2 | b. | 1,400 cm2 | c. | 700 cm2 | d. | 10
cm2 |
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13.
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Jameelah wants to build a fence around her pool. The pool is 28 feet long by 23
feet wide. The fence is to be 16 feet from the edge of the pool. How
many feet of fencing will she need? a. | 102 ft | c. | 222 ft | b. | 51 ft | d. | 148 ft |
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14.
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Find the perimeter of the rectangle with length 23 inches and width 87
inches.
a. | 2,001 in. | b. | 110 in. | c. | 133 in. | d. | 220
in. |
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15.
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Suzanne wants to put a fence around her square garden. If the garden covers an
area of 49 ft2, how many feet of fencing does she need?
a. | 14 ft | c. | 28 ft | b. | 7 ft | d. | 196 ft |
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16.
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The Thomas family wants to fence a cow pasture on their farm. How many meters of
fencing do they need to buy?  a. | 36.35 m | b. | 45 m | c. | 50.2 m | d. | 112.5
m |
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Explain why the triangles are similar. Then find the value of
x.
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17.
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a. | AA Postulate;  | c. | AA Postulate;  | b. | SAS Postulate;  | d. | SSS Postulate;  |
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The polygons are similar, but not necessarily drawn to scale. Find the values
of x and y.
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18.
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Triangles ABC and DEF are similar. Find the lengths of AB
and EF.
 a. | AB = 2; EF = 10 | c. | AB = 20; EF =
4 | b. | AB = 10; EF = 2 | d. | AB = 4; EF =
20 |
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19.
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Michele wanted to measure the height of her school’s flagpole. She placed
a mirror on the ground 48 feet from the flagpole, then walked backwards until she was able to see the
top of the pole in the mirror. Her eyes were 5 feet above the ground and she was 12 feet from the
mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a
foot.  a. | 20 ft | b. | 38.4 ft | c. | 55 ft | d. | 25
ft |
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Write a proportion and find the value of x in the diagram. Round to
the nearest tenth if necessary.
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20.
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a. |  ; 8.3 | c. |  ;
8.3 | b. |  ; 17.5 | d. |  ; 17.5 |
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21.
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Are the triangles similar? If so, explain why.  a. | yes, by SAS | b. | yes, by SSS | c. | yes, by AA | d. | no |
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22.
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Find the values of x and y. 
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23.
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What other information do you need in order to prove the triangles congruent
using the SAS Congruence Postulate? 
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24.
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a. | SAS; CPCTC | c. | ASA; Substitution | b. | ASA; CPCTC | d. | AAS; CPCTC |
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