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1.
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2.
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Triangles EFG and LMN 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, Maria places a mirror flat on the ground 23 ft
feet from the base. After backing 4.25 ft feet, she can just see the top of the tree in the
mirror.
Maria 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) | 28 ft 4 in. | B) | 24 ft | C) | 29 ft 9 in. | D) | 40
ft |
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4.
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Which of the following could not be the lengths of the sides of a
triangle?
A) | 16 m, 44 m, 61 m | C) | 49 yd, 60 yd, 56 yd | B) | 51 mi, 49 mi, 50 mi | D) | 45 km, 46 km, 47
km |
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5.
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Triangles UVW and XYZ are similar and have measurements as shown.
What is the
measure of  ? |  | | |
A) | 5.18 | B) | 29.75 | C) | 21.64 | D) | 12.36 |
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6.
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 and  are parallel. | Which of the following statements is true? |  | | |
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7.
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If the coordinates of A are (3, 4) and the midpoint of  is  ,
then the coordinates of B are --
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8.
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Let l
represent: Angle Z is
obtuse.
Let s represent: Angle R is
obtuse.
Which is a symbolic representation of the following
argument?
Angle Z is obtuse if and only if Angle R is
obtuse.
Angle Z is obtuse or Angle R is
obtuse.
Therefore, Angle Z is obtuse and Angle R is obtuse.
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9.
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GHJK is a rhombus with  .
What is  ? |  | | |
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10.
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Jason is standing 10 feet from a mirror lying on the ground, and his eyes are 5.5 feet above the ground. The
line-of-sight reflection on the mirror makes  1 congruent to  2.
If the building is 200 feet from the
mirror, which is closest to the height of the building? |  | | |
A) | 132 ft | B) | 99 ft | C) | 110 ft | D) | 121
ft |
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11.
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On a map, Eagle, Golden, and Bryan form a triangle. Golden is 66 miles from
Eagle and Bryan is 89 miles from Eagle. Which is a possible distance between Golden and
Bryan?
A) | 12 miles | B) | 22 miles | C) | 126 miles | D) | 168
miles |
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12.
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Two cars, each moving from a point in a straight line away from each other at an angle, are 130 meters apart after 7 seconds. Both
are moving at a constant rate, car B at 10 meters per second and car S at 12 meters per
second.
About how far apart are they after 14 seconds? |  | | |
A) | 195 m | B) | 130 m | C) | 416 m | D) | 260
m |
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13.
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When tiles fail to tesselate in a plane and leave a gap, what is true about the
angle measure sum of the tiles surrounding a single point?
A) | <360° | B) | <90° | C) | <320° | D) | <180° |
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14.
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15.
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The opposite sides of a door frame are congruent.
Which additional piece of
information would verify that the frame is a rectangle? |  | | |
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16.
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Line m contains points (1, -3) and (2, 2). Which of the following pairs
of points define a line perpendicular to line m?
A) | (0, 0) and (1, 5) | C) | (1, 1) and (6, 2) | B) | (-4, 0) and (-5, -5) | D) | (0, 0) and (-5,
1) |
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17.
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Jonas made these measurements on
 TUV.
UV must be
___ |  | | |
A) | between 10 and 14 milimeters | C) | less than 10
milimeters | B) | greater than 23 milimeters | D) | between 14 and 23 milimeters |
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18.
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Which additional piece of information would prove that  TUV ~
 WXY? |  | | |
A) | XY = 45 | B) | XY=
35 | C) | WX = 45 | D) | WX =
14 |
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19.
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Given: 
Which proportion is true? |  | | |
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20.
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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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21.
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 RST is similar to  UWV. RS = 7 and UW = 28. If the perimeter of  UWV is 84, then what is the perimeter of  RST?
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22.
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A man who is 6 feet tall casts a shadow that is 3
feet long. At the same time, a nearby tree casts a shadow that is 24 feet long. How tall is the
tree?
A) | 12 ft | B) | 24 ft | C) | 48 ft | D) | 12
ft |
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23.
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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 F to point T? |  | | |
A) | 61 m | B) | 107.5 m | C) | 54 m | D) | 82.5 m |
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24.
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A) | 10.5 | B) | 33.43 | C) | 4.67 | D) | 19.5 |
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25.
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If  , which statement is always true?
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