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1.
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2.
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Triangles MNP and QRS are similar with measurements as shown.
What is the ratio  ? |  | | |
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3.
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In order to determine the height of a tree, Mariann places a mirror flat on the ground 21
ft feet from the base. After backing 4.5 ft feet, she can just see the top of the tree in the
mirror.
Mariann knows that her eyes are exactly 5.5 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) | 25 ft 8 in. | D) | 40
ft |
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4.
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Two ships leaving the same port at the same time are 3.5 miles apart after
sailing 2.6 hours. If they continue at the same rate and direction, how far apart will they be 1.5
hours later?
A) | 2.02 mi | B) | 3.05 mi | C) | 5.52 mi | D) | 5.65
mi |
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5.
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Triangles TUV and WXY are similar and have measurements as shown.
What is the
measure of  ? |  | | |
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6.
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Altitude  is drawn from right angle P of triangle MNP forming right triangles MPT and
PNT.
Which statement concerning the 3 triangles is
true? |  | | |
A) | None of the triangles are similar. | B) | Only triangles
MPT and PNT are similar. | C) | Triangle MNP
is similar to only triangle MPT. | D) | Triangle MNP is similar to both triangle
MPT and triangle PNT. |
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7.
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Which triangle is similar to DXYZ?
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8.
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DTUV is similar to DWYX. TU = 9 and WY = 36. If the perimeter of DWYX is 120, then what is the perimeter of DTUV?
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9.
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Which additional piece of information | would prove that DMNP ~ DQRS? |  | | |
A) | RS = 32 | B) | QR =
32 | C) | RS= 28 | D) | QR =
14 |
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10.
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Line segments UW and VX intersect at Y, as shown in the figure.
 ||  , XY = 14, VY = 23, and WY = 28.
What is the
measure of  ? |  | | |
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11.
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Given: ÐJ @
ÐM.
Which proportion is true? |  | | |
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12.
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Given: DKLP
~ DKMN.
Therefore |  | | |
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13.
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A man who is 5 feet tall casts a shadow that is 2
feet long. At the same time, a nearby tree casts a shadow that is 10 feet long. How tall is the
tree?
A) | 25 ft | B) | 10 ft | C) | 4 ft | D) | 5
ft |
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14.
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If  is parallel to  ,
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is GH, the width of the lake? |  | | |
A) | 70 yards | B) | 113 yards | C) | 103 yards | D) | 98
yards |
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15.
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The ratio of the perimeter of DU to the perimeter of DV is 1:2.
If the triangles are similar, what is the value of
x + y? |  | | |
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16.
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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 X? |  | | |
A) | 72 ft | B) | 59 ft | C) | 123 ft | D) | 100
ft |
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17.
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The distance across a river was estimated by
making the measurements shown.
Which is the best estimate of the distance
d? |  | | |
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18.
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Given: 
Which is a
true proportion? |  | | |
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19.
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What proportion can be used to
find the value of  if DMNW
is similar to DPXY? |  | | |
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20.
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A boy knows that his height is 5 feet. At the time of day when his shadow is
3 feet, a
tree’s shadow is 60
feet.
What is the height of the tree? |  | | |
A) | 100 ft | B) | 60 ft | C) | 36 ft | D) | 30
ft |
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21.
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In addition to the information | given in the drawing, which statement would be sufficient to prove that DWXY ~ DCDE |  | | |
A) |  | C) | WY = 76 and XY =
28 | B) |  | D) | WY = 28 and XY = 76 |
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22.
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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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23.
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Given:
DABC ~
DLMN
What is the length of  ? |  | | |
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24.
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Which drawing contains a pair of similar triangles?
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25.
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