Download Homework on Polygons

Geometry (1st semester)
1.
Name: ___________________________________
Which of the following are convex polygons?
a.
b.
c.
d.
e.
f.
2.
Which of the figures in problem 1 are concave polygons?
3.
Draw a convex equilateral pentagon:
4.
Draw a concave equilateral pentagon:
5.
Draw a regular quadrilateral:
6.
Draw an equilateral quadrilateral that is not regular:
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7.
Draw a closed figure that is not a polygon:
8.
Draw an equilateral triangle:
9.
What is the geometric name for the point where two sides of a polygon meet?
10.
What is the sum of the measures of
the five angles in this diagram?
1  2  3  4  5  ________
11.
What is the sum of the measures of the
five exterior angles in this pentagon?
5 1
2
4 3
1
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2
3
1  2  3  4  5  ________
5
4
12.
If the pentagon in problem 11 is a regular pentagon, then what is the measure of 1 ?
m 1  _________
13. What is the sum of the exterior angles, one angle at each vertex, in any convex hexagon?
________
14. What is the sum of the interior angles in any convex hexagon? ________
15. What is the measure of x in the regular
pentagon on the right?
x
m x  __________
16. What is the measure of each exterior angle, one angle at each vertex, of a regular polygon with
10 sides? _____________
17. What is the measure of each interior angle of a regular polygon with 10 sides? ________
18. What is the sum of the interior angles in any quadrilateral? _________
19. In the polygon on the right, what is
the measure of interior C ?
m C  _________
A
120
B
o
150
o
F 110o
120
C
o
E
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150
o
D