Download Ace. Math I Review of Polygons Unit Name. 2. Findthe measure of

Ace. Math I
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Review of Polygons Unit
Name.
1. Find the measure of an exterior angle of each of the following regular polygons..
a) a triangle
b) a quadrilateral
c) an octagon
d). a pentadecagon
2. Find the measure of an interior angle of each of the following regular polygons.
a) a pentagon
b) anonagon
c) a 21-gon
3. Find the number of sides a regular polygon has if each of its exterior angles is
a) 60°
b) 36°
c) 7.5°
4. Find the number of sides an equiangular polygon has if each of its interior angles is
a) 144°
' b) 156°
c) 172.8°
5. The slim of the measures of the angles of a regular polygon is 5040°. Find the measure of
each angle.
6. The sum of a polygon's interior angle measures is nine times the measure of an exterior
angle of a regular hexagon. What is the polygon's name?
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7. What is the name of a regular polygon if the ratio of the measure of an interior angle to
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the measure of an exterior angle is 7:2?
8. Tell whether each statement is true always, sometimes, or never.
.a) If the number of sides of an equiangular polygon is doubled, the measure of each
exterior angle is halved.
b) The measure of anjexterior angle of a decagon is greater than the measure of an
exterior angle of a quadrilateral.
c) A regular polygon is equilateral.
d) An equilateral polygon is regular.
9. How many sides does a polygon have if the sum of the measures of its interior angles is
a) 1440°
b) (180x-720)°
c) equal to six right angles
10.
a) In what polygon is the sum of the measures of the interior angles equal to the sum
of the measures of the exterior angles?
b) In what polygon is the sum of the measures of the interior angles of the polygon
equal to twice the sum of the measures of the exterior angles, one per vertex?
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11. If the sum of the measures of the angles of a polygon is increased by 900, how many
fides will have been added to the polygon?
12. Tell whether each statement is true always, sometimes, or never.
a) As the number of sides of a polygon increases, the number of exterior angles
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increases.
b) As the number of sides of a polygon increases, the sum of the measures of the
exterior angles increases.
13. Siven mZF =110°,mAG = S0°,mZH = 74°, find mZl in the figure below.
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14. Find the sum of the measures of the exterior angles, one per vertex, of each.
a) a triangle
b) a heptagon
c) anonagon
d) al800-gon
15. What is the fewest number of sides a polygon can have?
16. Find the sum of the measures of the interior angles of
a) a heptagon
b) a dodecagon
c) a90-gon
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17. Siven mZ* = 16Q°,mZB = 50°,mZC = l40°.mZD = 150°, find mZE inthe figure:
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18. Show that if one of the angles of a rhombus is 120°, one of the diagonals divides the
rhombus into a pair of equilateral triangles.
19. RSTV is a rhombus with m/.VRS = W.m£WliS = a°,m/.WSR = b°.m^RWS = C
Find St.
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20. Siven: MOPR is asquare with perimeter of 36 and MO =x+6and mZO ={Zy - 4)°,
solve for x and y.
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21. Siven QXYZ is a parallelogram and mZQ = 110°, find the measure of angles X, Yand Z.
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22. Siven OPMK is a parallelogram, mZMKP = S0°,mZRKO = 60°, find the following:
m<OKP =
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23. Siven EG ± EF and EF11GH. Solve for y in terms ofx. Sive an expression for
mZEHG that does not contain y.
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24. What type of special quadrilateral if EFSH with vertices E(-3, -2), F(-1,1), S (2, 3),
and H (3, -3)?
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25. What type of special quadrilateral if EFSH with vertices E(4, 8), F (0,9), S (-2,1),
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