Download Polygon Investigation Questions WS

Name: __________________________________________
Geometry A
Polygon Investigation Questions
1.
What is another name for a regular triangle?
2.
What is another name for a regular quadrilateral?
3.
What is the interior angle sum of a 60-gon?
4.
What is the measure of one interior angle of a regular 60-gon?
5.
Three angles of a quadrilateral measure 98 o, 75 o, 108 o. Find the measure of the fourth angle.
6.
Each interior angle of a regular polygon measures 168 o. How many sides
7.
In baseball, the home plate is shaped like the one shown.
It has three right angles and two other congruent angles
(A and B). Find mA and mB.
A
8.
9.
does the polygon have?
B
As the number of sides of a regular polygon increases, what happens to:
a.
the sum of the interior angles?
b.
the measure of each interior angle?
c.
the measure of each exterior angle?
Each interior angle of a regular polygon measures 172 o.
How many sides does the polygon have?
10. The four interior angles of a quadrilateral measure x-5, 3(x+8), 3x+6, and 5x-1. Find the measures of the four angles.
11. Is the sum of the interior angles of a convex polygon the same as a nonconvex polygon? Explain or show an example to
justify your answer.
Nonconvex polygon
Convex polygon