Download POW 21

Math Course 2 Geometry
POW #21 — POLYGONS
DUE March 2/3! Show work!
Name: _________________________________
Date: _____________Period: ____________
Classify each figure:
1]
by the number of sides ………………… 2]
as convex or concave ……………………
as regular or not regular ………………..
3]
by the number of sides …………………
as convex or concave ……………………
as regular or not regular ………………..
by the number of sides ………………… 4]
as convex or concave ……………………
as regular or not regular ………………..
by the number of sides …………………
as convex or concave ……………………
as regular or not regular ………………..
5] Draw a regular hexagon, label all vertices and answer all questions:
Draw your hexagon here:
a] Why is your hexagon regular? Explain :
b] How many diagonals can you draw from each vertex? ………….
c] Name any two consecutive sides of your hexagon. ……………………..
d] What is the interior angle sum of your hexagon? ……………………..
e] What is the measure of each interior angle in your hexagon? ……………….
Show work here:
6] Find the degree sum the interior angles of a
regular 26-gon.
………………………
7] The number of sides of a regular polygon is 16.
Find the measure of each interior angle of the
polygon.
……………………….
8] What is the exterior angle sum of a regular
decagon?
……………………….
9] What is the measure of one exterior angle of
a regular 16-gon?
……………………….
11] The interior angle sum of a regular polygon is 1260. How many sides does this polygon have? Show all work
................................
12] Complete the chart for each regular, convex polygon.
12
Number of Sides
120º
Each interior angle
Each exterior angle
140º
20º
10º
OVER 
Solve. Show all work.
13] x  2  6
17]
1
1 5
 3t  2   
2
2 2
20] 2  3t  1  6  5  2t  4
14] 2  x  5  10
18] 2  3x  7   4  5x 1  18
15] 12  2  5x  4 
19] 4x  5  37
16] 7  3  y  4  10