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1.
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An airplane leaves a runway heading due
north then turns 42° to the right as shown in the figure.
How much more will the airplane have to turn to be heading due
east? |  | | |
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2.
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A ladder is leaning against a house at
an angle of 47° as shown in the diagram.
What is the measure of the angle, x,
between the ladder and the house? |  | | |
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3.
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Lines AB and CD intersect at P.  is perpendicular to  ,
and mÐAPD = 170°.
What is the measure of ÐDPB? |  | | |
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4.
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Triangle ABC is a right triangle with
the right angle at C.
Which are possible measures for angle A and angle
B? |  | | |
A) | 26° and 54° | B) | 54° and 64° | C) | 36° and 54° | D) | 54° and 126° |
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5.
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What is  ?
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6.
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What are the values of x, and y? A) | x = 89°, y = 100° | C) | x = 99°, y =
100° | B) | x = 89°, y = 110° | D) | x = 99°, y =
110° |
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7.
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A guy wire for a pole for a tennis net makes an angle of 61° with the ground.
What is the measure of the angle between the wire and the
pole? |  | | |
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8.
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9.
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Which point is the greatest distance from the origin?
A) | (5, –8) | B) | (4, 3) | C) | (1, –6) | D) | (1,
4) |
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10.
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A plumber bent a flexible joint into a 136° angle, as shown. He then attached another pipe so
that A, B, and D lay on a straight line.
What is the value of
x? |  | | |
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11.
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Which pair of angles is complementary?
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12.
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The distance between the points (–5, –7) and (–1, –8)
is:
A) |  | B) |  | C) | 5 | D) | 17 |
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13.
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What are the apparent coordinates
of the midpoint of diagonal  ?
|  | | |
A) | (–1.5, 1) | B) | (–1, –1.5) | C) | (–1, –1) | D) | (–1.5,
–1) |
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14.
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The measures of some angles are
given in the figure.
What is the value of x? |  | | |
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15.
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The Department of Transportation wants to extend the intersecting road across the highway, as indicated by the dotted
line.
What should x be to ensure that the intersecting road and the new
construction form a straight line? |  | | |
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16.
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What are the measures of two complementary angles if the difference of their
measures is 24°?
A) | 33°, 57° | B) | 40°, 51° | C) | 78°, 102° | D) | 85°,
96° |
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17.
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Triangle ABC is placed on a
grid as shown.
The apparent midpoint of  is: |  | | |
A) | (4, 6) | B) | (1, 6) | C) | (2.5, 4.5) | D) | (2.5,
7.5) |
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18.
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The coordinates of the midpoint of  are (2, –3), and the
coordinates of A are (–3, 1). What are the coordinates of B? A) | (–0.5, –1) | B) | (–8, 5) | C) | (7, 4) | D) | (7,
–7) |
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19.
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A line segment has an endpoint at (0, 1). If the midpoint of the line
segment is (3, –2), what are the coordinates of the point at the other end of the line
segment?
A) | (1.5, –0.5) | B) | (–3, 4) | C) | (6,
3) | D) | (6, –5) |
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20.
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Parallelogram ABCD is placed on a
coordinate grid as shown.
What is the approximate
length of diagonal  ? |  | | |
A) | 14.0 units | B) | 4.0 units | C) | 7.2 units | D) | 8.1
units |
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21.
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In the figure shown, m 1 = (8x – 10)° and
m 2 = (8x +
4)°.
What is mÐ 1 ? |  | | |
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22.
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P(–4,7), Q(0,9), R(7,3), and
S(–5,–3)
are connected to form a
trapezoid.
What is the midpoint of  ? |  | | |
A) | (–1, –3.5) | B) | (3, –1.5) | C) | (2, –2) | D) | (1,
0) |
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23.
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Rectangle ABCD is placed on a
grid as shown.
Which is closest to the
length of
diagonal  ? |  | | |
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24.
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A quadrilateral is placed on
a grid as
shown.
The midpoint of  is |  | | |
A) | (–3.5, 6.5) | B) | (–2.5, –1.5) | C) | (–2.5, 5.5) | D) | (–4.5,
2.5) |
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25.
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If the coordinates of A are (5, 4) and the midpoint of  is  ,
then the coordinates of B are --
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