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1.
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A) | They are congruent. | C) | They are equal in area. | B) | They are
similar. | D) | They are equal in
perimeter. |
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2.
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3.
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4.
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Triangles RST and WXY are similar with measurements as shown.
What is the ratio  ? |  | | |
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5.
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In order to determine the height of a tree, Maria places a mirror flat on the ground 27 ft
feet from the base. After backing 5 ft feet, she can just see the top of the tree in the mirror.
Maria knows that her eyes are exactly 5.25 ft feet above ground level and that the angle between
her eyes, the mirror, and the ground is the same as the angle between the tree top, the mirror, and
the ground. Which is closest to the height of the tree? |  | | |
A) | 24 ft | B) | 28 ft 4 in. | C) | 28 ft 4 in. | D) | 40
ft |
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6.
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A surveyor made this sketch from measurements he made along a river.
What
is the distance across the river from point N to point G? |  | | |
A) | 66 m | B) | 65 m | C) | 107.5 m | D) | 86.5 m |
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7.
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 and  are parallel. | Which of the following statements is true? |  | | |
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8.
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Line segments UW and VX intersect at Y, as shown in the figure.
 ||  , XY = 10, VY = 18, and WY = 20.
What is the
measure of  ? |  | | |
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9.
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Triangles LMN and PQR are similar and have measurements as shown.
What is the
measure of  ? |  | | |
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10.
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Which triangle is similar to  XYZ?
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11.
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Two speedboats leaving the same port at the same time are 2.9 miles apart after
sailing 2.8 hours. If they continue at the same rate and direction, how far apart will they be 1.5
hours later?
A) | 1.55 mi | B) | 4.15 mi | C) | 4.45 mi | D) | 4.56
mi |
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12.
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Given: 
Which proportion is true? |  | | |
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13.
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14.
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When standing upright, Gary knows his eyes
are 5 feet above ground level. To determine the depth of a well, he stands in the position
shown.
Using the given
measures, how deep is the pit? |  | | |
A) | 12.5 ft | B) | 10 ft | C) | 11.75 ft | D) | 13.75
ft |
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15.
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Triangles CDE and VWX are similar ,
with the measurements in inches as shown.
What is the perimeter of  VWX? |  | | |
A) | 189 in | B) | 243 in | C) | 135 in | D) | 96
in |
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16.
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A boy knows that his height is 6 feet. At the time of day when his shadow is
2 feet, a
tree’s shadow is 24
feet.
What is the height of the tree? |  | | |
A) | 72 ft | B) | 24 ft | C) | 8 ft | D) | 12
ft |
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17.
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The ratio of the perimeter of  to the perimeter of  is 1:3.
If the triangles are similar, what is the value of f +
d ? |  | | |
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18.
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Given: V lies on  and M lies on 
Which condition proves
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19.
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If  is parallel to  ,
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is ST, the width of the lake? |  | | |
A) | 84 yards | B) | 192 yards | C) | 136 yards | D) | 108
yards |
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20.
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A rectangular place mat is similar to
the table upon which it is placed.
According to the diagram, which proportion can be used
to determine the width of the table, w ? |  | | |
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21.
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Kyle is standing 14 feet from a mirror lying on the ground, and his eyes are 4.5 feet above the ground. The
line-of-sight reflection on the mirror makes  1 congruent to  2.
If the building is 308 feet from the
mirror, which is closest to the height of the building? |  | | |
A) | 90 ft | B) | 99 ft | C) | 108 ft | D) | 117
ft |
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22.
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In addition to the information given in the drawing, which statement would be sufficient to prove that  VWX ~  FGH |  | | |
A) |  | C) | VX = 40 and WX =
16 | B) |  | D) | VX = 16 and WX = 40 |
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23.
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A man who is 6 feet tall casts a shadow that is 2
feet long. At the same time, a nearby tower casts a shadow that is 30 feet long. How tall is the
tower?
A) | 90 ft | B) | 30 ft | C) | 10 ft | D) | 15
ft |
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24.
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Three triangles that do not overlap are
shown on the coordinate grid. The coordinates of all vertices are
integers.
Which statement is true? |  | | |
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25.
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Look at this triangle.
Which triangle
is similar to the given triangle? |  | | |
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