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1.
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The figure is a regular octagon with
each side extended.
What is the value of x? |  | | |
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2.
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In the drawing, a regular polygon is
partially covered by the trapezoid.
How many sides does the covered polygon
have? |  | | |
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3.
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The vertices of parallelogram ABCD have coordinates A(1, 8), B(4, -2), and C(-2,
-7).
What are the
coordinates of D? |  | | |
A) | (-5, 3) | B) | (-3, 5) | C) | (2, 3) | D) | (5,
-3) |
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4.
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Sides  and  of DSTU are extended to form 2
sides of
parallelogram UVWX.
ÐUST and
ÐUTS each measure 31°.
What is the measure of ÐUVW? |  | | |
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5.
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A floor tile is designed with a
regular pentagon in the center of the tile with its sides extended.
What is the value
of x? |  | | |
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6.
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Quadrilateral MNOP is a parallelogram. The coordinates of three of its vertices are M(1,5), N(2,1),
and O .
If (x, 2) are the
coordinates of P, what is the value of x ? |  | | |
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7.
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In the diagram, DABC and DRST are congruent
equilateral triangles with corresponding sides parallel.
What is the
value of x? |  | | |
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8.
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What is the measure of interior | angle ABC of the regular polygon shown? |  | | |
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9.
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Rectangular flowerbeds are built on each side of a fishpond in the shape of a regular
octagon.
What is the measure of the angle, x, between two consecutive
flowerbeds? |  | | |
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10.
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A portion of a regular polygon is
shown. The polygon has
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A) | 12 sides | B) | 18 sides | C) | 10 sides | D) | 15
sides |
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11.
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Figure ABCDEF is a regular hexagon.
What is the measure of  ? |  | | |
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12.
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Quadrilateral QRST is placed on a coordinate grid as shown.
What coordinates for S make QRST a
parallelogram? |  | | |
A) | (8, 6) | B) | (8, 10) | C) | (12, 6) | D) | (12,
10) |
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13.
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Which angle measure below is not a possible measure of an exterior angle
of a regular polygon?
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14.
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In the drawing, a regular polygon is partially covered by a rectangle.
What is the
number of sides of this polygon? |  | | |
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15.
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If m ÐW = mÐU, what is m ÐW?
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16.
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A regular pentagon and a regular hexagon share a side as shown in the figure.
What is the
measure of  ? |  | | |
A) | 108° | B) | 120° | C) | 132° | D) | 144° |
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17.
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In the rectangle LMNP, mÐ1 = 40°.
What
is mÐ2? |  | | |
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18.
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What is the point of intersection A) | (2, 2) | B) | (2, 3) | C) | (3, 3) | D) | (3,
2) |
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19.
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In parallelogram WXYZ, what
are the coordinates of the point of intersection of  and  ? |  | | |
A) | (2.5, 2.5) | B) | (7.5,
3.5) | C) | (5.5, 3.5) | D) | (3.5,
3.5) |
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20.
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This is a regular polygon.
What are the values of x and y ? |  | | |
A) | 78°, 102° | B) | 40°, 140° | C) | 60°, 120° | D) | 45°,
135° |
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21.
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For a regular polygon with ten sides, each interior angle has a measure of
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22.
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A) | 130 m | B) | 195 m | C) | 325 m | D) | 390
m |
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23.
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This figure shows a pattern of
triangles and regular
hexagons.
What is the value of x
? |  | | |
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24.
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The pentagon has the angle measures shown.
What is  ? |  | | |
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25.
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This figure is a traffic sign in the shape of
a regular
octagon.
What is the value of x ? |  | | |
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