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 statement about the angles in this diagram is false?
 a. | Ða = Ðe | b. | Ðc =
Ðe | c. | Ðd =
Ðb | d. | Ðb =
Ðf |
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5.
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Which statement about the angles in this diagram is false?  a. | Ðe = Ðf
| b. | Ða = Ðb | c. | Ðd =
Ðc | d. | Ðf =
Ða |
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6.
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Which angle property proves ÐPYD =
90°?  a. | corresponding angles | b. | alternate interior angles | c. | alternate exterior
angles | d. | supplementary angles |
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7.
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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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8.
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Which angle property proves ÐEFS =
28°? 
a. | alternate exterior angles | b. | supplementary angles | c. | alternate interior
angles | d. | corresponding angles |
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9.
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Which angle property proves ÐBED =
73°? 
a. | alternate interior angles | b. | vertically opposite angles | c. | corresponding
angles | d. | alternate exterior angles |
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10.
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Which are the correct measures for ÐYXZ
and ÐXZY?  a. | ÐYXZ = 63°, ÐXZY = 91° | b. | ÐYXZ =
53°, ÐXZY = 91° | c. | ÐYXZ = 63°, ÐXZY =
81° | d. | ÐYXZ = 53°, ÐXZY = 81° |
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11.
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Which are the correct measures for ÐYXZ
and ÐXZY?  a. | ÐYXZ = 52°, ÐXZY = 77° | b. | ÐYXZ =
52°, ÐXZY = 87° | c. | ÐYXZ = 62°, ÐXZY =
77° | d. | ÐYXZ = 62°, ÐXZY = 87° |
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12.
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Which are the correct measures for ÐOJK,
ÐJKO, and ÐJOK?  a. | ÐOJK = 102°, ÐJKO = 28°, and ÐJOK =
50° | b. | ÐOJK = 152°, ÐJKO = 18°, and ÐJOK =
10° | c. | ÐOJK = 117°, ÐJKO = 28°, and ÐJOK =
35° | d. | ÐOJK = 117°, ÐJKO = 36°, and ÐJOK =
37° |
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13.
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Determine the sum of the measures of the angles in a 12-sided convex
polygon.
a. | 2160° | b. | 1800° | c. | 1080° | d. | 3600° |
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14.
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Each interior angle of a regular convex polygon measures 162°.
How many
sides does the polygon have?
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15.
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Determine the value of c.
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Short Answer
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16.
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Use a pencil to thicken one set of parallel lines in this
pattern. 
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17.
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Determine the measure of ÐABF. 
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18.
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Determine the values of a, b, and c. 
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19.
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Determine the unknown angles. 
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20.
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Determine the sum of the measures of the interior angles of this 14-sided
polygon. Show your calculation.
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Problem
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21.
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Prove: TV || YZ
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22.
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Given DUWX ~ DUYZ, prove: WX || YZ
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23.
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Given ÐUWX = ÐWYZ, prove: TV || WX
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24.
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Prove that the sum of the three interior angles of a triangle is 180°.
Use a labelled diagram.
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25.
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Ariadne is measuring the exterior angles of a convex decagon. She noticed that
the measure of the exterior angles was either 45° or 15°. How many exterior angles of each
measure does the decagon have? Show your solution.
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