Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which pairs of angles are equal in this diagram?  a. | a = b, c = d, and e = f | b. | a = e,
c = g, and b = f | c. | a = c, e = g, and
f = h | d. | a = e, b = d, and
c = g |
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2.
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In which diagram(s) is AB parallel to CD? | 1. |  | 2. |  | | | | |
a. | Choice 1 only | b. | Choice 2 only | c. | Choice 1 and Choice
2 | d. | Neither Choice 1 nor Choice 2 |
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3.
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In which diagram(s) is AB parallel to CD? | 1. |  | 2. |  | | | | |
a. | Choice 1 only | b. | Choice 2 only | c. | Choice 1 and Choice
2 | d. | Neither Choice 1 nor Choice 2 |
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4.
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Which angle property proves ÐBEF =
107°? 
a. | supplementary angles | b. | corresponding angles | c. | alternate interior
angles | d. | alternate exterior angles |
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5.
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In which diagrams are two lines parallel? a. | Choice 2 and Choice 3 | b. | Choice 1 only | c. | Choice 1 and Choice
3 | d. | Choices 1, 2, and 3 |
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6.
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Which are the correct measures of the indicated angles?  a. | Ðw = 77°, Ðx =77°, Ðy =
103° | b. | Ðw = 77°, Ðx =103°, Ðy =
103° | c. | Ðw = 103°, Ðx =77°, Ðy =
77° | d. | Ðw = 103°, Ðx =103°, Ðy =
77° |
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7.
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Which are the correct measures for ÐDCE
and ÐCAB?  a. | ÐDCE = 47°, ÐCAB = 109° | b. | ÐDCE =
37°, ÐCAB = 119° | c. | ÐDCE = 13°, ÐCAB =
143° | d. | ÐDCE = 31°, ÐCAB = 134° |
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8.
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Which are the correct measures for ÐKLM,
ÐKLN, and ÐNML?  a. | ÐKLM = 117°, ÐKLN = 36°, and ÐNML =
124° | b. | ÐKLM = 71°, ÐKLN = 24°, and ÐNML =
63° | c. | ÐKLM = 73°, ÐKLN = 67°, and ÐNML =
117° | d. | ÐKLM = 63°, ÐKLN = 28°, and ÐNML =
117° |
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9.
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Which are the correct measures for ÐLNO,
ÐLNM, and ÐMLN?  a. | ÐLNO = 145°, ÐLNM = 35°, and ÐMLN =
35° | b. | ÐLNO = 152°, ÐLNM = 28°, and ÐMLN =
35° | c. | ÐLNO = 117°, ÐLNM = 63°, and ÐMLN =
28° | d. | ÐLNO = 152°, ÐLNM = 28°, and ÐMLN =
28 |
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10.
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Which are the correct measures for ÐWXZ,
ÐUZY, and ÐVYX?  a. | ÐWXZ and ÐUZY cannot be determined; ÐVYX = 120° | b. | ÐWXZ,
ÐUZY, and ÐVYX cannot
be determined. | c. | ÐWXZ cannot be determined; ÐUZY = 120°, ÐVYX =
120° | d. | ÐWXZ = 120°, ÐUZY = 120°, and ÐVYX
=120° |
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11.
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Determine the sum of the measures of the interior angles of this
polygon.
a. | 1080° | b. | 1440° | c. | 720° | d. | 540° |
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12.
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Determine the sum of the measures of the angles in a 9-sided convex
polygon.
a. | 1720° | b. | 1440° | c. | 1080° | d. | 1260° |
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13.
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Each interior angle of a regular convex polygon measures 144°.
How many
sides does the polygon have?
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14.
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The sum of the measures of the interior angles of a convex polygon is S.
Which expression results in the number of sides of the polygons?
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15.
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Determine the value of d.
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Short Answer
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16.
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Determine the measure of ÐRTQ.
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17.
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Determine the value of x. 
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18.
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Marion used a deck of card to create a convex polygon with 52 equal side
lengths. Determine the sum of the measures of the angles in her polygon.
Show your
calculation.
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19.
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Each interior angle of a regular convex polygon measures 156°.
How many
sides does the polygon have?
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20.
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Gareth is measuring the exterior angles of a convex hexagon.
So far, he has
measured 60°, 60°, 60°, 30°, and 30°.
What is the measure of the last
exterior angle?
Show your calculation.
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Problem
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21.
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Are BD and FE parallel? Explain how you know. 
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22.
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Describe four different methods to prove EF || GH. 
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23.
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a) Construct
a quadrilateral with one pair of parallel sides.
b) Make a
conjecture about the angles in your quadrilateral.
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24.
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Use the diagram to make a conjecture about the sum of the exterior angles of a
triangle. Prove your conjecture. 
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25.
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A floor tiler designs custom floors using tiles in the shape of regular
polygons. Can the tiler use congruent regular dodecagons and just one other tile to cover a floor, if
they have the same side length and two dodecagons meet at each corner? Draw part of the
tiling.
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