Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
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Figure 5-2
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1.
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Name
a line in Figure 5-2 above.
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2.
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Name
four segments in Figure 5-2 above.
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3.
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Name
five rays in Figure 5-2 above.
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Figure 5-3
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4.
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Name
a right angle in Figure 5-3 above.
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5.
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Name
two acute angles in Figure 5-3 above. a. | ÐQRT, ÐVRW | c. | ÐQRT, ÐVRS | b. | ÐQRV, ÐVRS | d. | ÐQRW, ÐTRW | | | | |
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6.
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Name
a pair of complementary angles in Figure 5-3 above. a. | ÐQRV, ÐVRS | c. | ÐQRV, ÐVRW | b. | ÐQRT, ÐVRS | d. | ÐVRW, ÐSRW | | | | |
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7.
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Name
two pairs of supplementary angles in Figure 5-3 above. a. | ÐQRV, ÐVRS
ÐQRT,
ÐTRS | c. | ÐQRT,
ÐVRS
ÐQRW, ÐVRS | b. | ÐQRV, ÐVRW
ÐQRW,
ÐVRS | d. | ÐQRT,
ÐTRV
ÐSRW, ÐWRV | | | | |
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Figure 5-5
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8.
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In
Figure 5-5 above, Ð1 and Ð3 are vertical angles, and Ð2 and Ð4 are vertical angles.
If mÐ2 =
30°, find
mÐ4.
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9.
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In
Figure 5-5 above, Ð1 and Ð3 are vertical angles, and Ð2 and Ð4 are vertical angles.
If mÐ1 =
n°, find mÐ3. a. | 180° – n° | c. | n° | b. | 90° + n° | d. | 90° – n° | | | | |
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10.
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In
the figure below the angles are formed by a transversal and two parallel lines. Which angles seem to
be congruent?
a. | Ð1 @ Ð3 @ Ð5 @ Ð7;
Ð2 @ Ð4 @ Ð6 @ Ð8 | c. | Ð1 @ Ð2 @ Ð3 @ Ð4;
Ð5 @ Ð6 @ Ð7 @ Ð8 | b. | Ð1 @ Ð4 @ Ð5 @ Ð8;
Ð2 @ Ð3 @ Ð6 @ Ð7 | d. | Ð1 @ Ð2 @ Ð5 @ Ð6;
Ð3 @ Ð4 @ Ð7 @ Ð8 | | | | |
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11.
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The
angles are formed by a transversal and two parallel lines. Which angles seem to be
congruent?
a. | Ð1 @ Ð3 @ Ð5 @ Ð7;
Ð2 @ Ð4 @ Ð6 @ Ð8 | c. | Ð1 @ Ð2 @ Ð5 @ Ð6;
Ð3 @ Ð4 @ Ð7 @ Ð8 | b. | Ð1 @ Ð4 @ Ð5 @ Ð8;
Ð2 @ Ð3 @ Ð6 @ Ð7 | d. | Ð1 @ Ð2 @ Ð3 @ Ð4;
Ð5 @ Ð6 @ Ð7 @ Ð8 | | | | |
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12.
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Measure the angles formed by the transversal and the parallel lines. Which angles seem
to be congruent?
a. | Ð1 @ Ð2 @ Ð3 @ Ð4;
Ð5 @ Ð6 @ Ð7 @ Ð8 | c. | Ð1 @ Ð4 @ Ð5 @ Ð8;
Ð2 @ Ð3 @ Ð6 @ Ð7 | b. | Ð1 @ Ð3 @ Ð5 @ Ð7;
Ð2 @ Ð4 @ Ð6 @ Ð8 | d. | Ð1 @ Ð2 @ Ð5 @ Ð6;
Ð3 @ Ð4 @ Ð7 @ Ð8 | | | | |
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In
the figure, line m // line n. Find the measure of each given angle.
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13.
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Ð4
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14.
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Ð1
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15.
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Find
n in the obtuse triangle.
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16.
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Find
the angle measures in the equilateral triangle.
a. | q =
120° | c. | q =
30° | b. | q = 180° | d. | q = 60° | | | | |
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17.
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Find
the missing angle measures in the isosceles triangle.
a. | k =
11.7° | c. | k =
69° | b. | k = 19° | d. | k = 119° | | | | |
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18.
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Find
the sum of the angle measures in the figure.
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19.
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Find
the angle measures in the regular polygon.
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20.
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Determine whether the slope of the line 
is positive, negative, 0, or undefined. Then find the slope of the line, if
possible.
a. | Negative;
–4 | c. | Positive;  | b. |
0 | d. | Undefined
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21.
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Which
lines are parallel? Which lines are perpendicular?
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22.
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Which
lines are parallel? Which lines are perpendicular?
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23.
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Graph
the quadrilateral with the given vertices. Give all of the names that apply to the quadrilateral.
B(0, 3), C(1, –1), D(–1, –3), F(–2, 1)
a. | Parallelogram,
rectangle | b. | Parallelogram, rhombus | c. | Parallelogram | d. | Parallelogram, rectangle, rhombus,
square | | |
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24.
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Identify the following as a translation, rotation, reflection, or none of
these.
a. | None of
these | c. | Reflection | b. | Translation | d. | Rotation | | | | |
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25.
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Identify the following as a translation, rotation, reflection, or none of
these.
a. | Reflection | c. | Translation | b. | None of these | d. | Rotation | | | | |
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26.
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Reflect the parallelogram  .
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27.
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Draw
the image of a triangle with vertices (2, 3), (3, 5), and (5, 3). Then perform the following
transformation: perform a 180° rotation about the origin.
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28.
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Complete the figure. The dashed line is the line of
symmetry.
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Short Answer
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29.
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Susan
wants to draw an obtuse isosceles triangle. One angle of this triangle measures 100°. Find the
measure of the other two angles in the triangle.
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30.
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Ricardo draws a line that passes through the points (1, 3) and (9, 7), as shown in the
figure below. Find the slope of this line.
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