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Polygon Angle Sum Theorem - Classifying Polygons

Free Geometry Worksheet - Polygon Angle Sum Theorem - Classifying Polygons


Lesson:
3. To use the polygon angle sum theorem and classify polygons

Subject:
Geometry

Description:
In this worksheet students must name polygons, identify convex, concave, regular and irregular polygons, classify polygons by the number of sides (triangle, quadrilateral, pentagon, hexagon, octagon, nonagon, decagon, dodecagon), and use both the Polygon Angle Sum Theorem to find measures of interior angles and the Polygon Exterior Angle Theorem to find the measures of exterior angles.

# of Problems:   25

# of Pages:   3

Answer Key?:   Yes

Sample Problems from Worksheet

(Worksheet pictures and diagrams not shown)

Tutor-USA.com Worksheet
Geometry
Angles of Polygons – Polygon Angle Sum Theorem

Identify each figure below as a convex polygon, concave polygon, or not a polygon.

4) Complete the polygon classification table.

5) The polygon angle sum theorem states that the sum of the measures of the angles of a convex polygon with n sides is:

6) The sum of the measures of the exterior angles of a convex polygon is ____.

For each polygon find a) the sum of the interior angles and b) the sum of the exterior angles.
7) quadrilateral
8) hexagon
9) decagon
10) pentagon
11) octagon
12) 18-gon

15) A ________________ polygon is a polygon that is both equiangular and equilateral.

For each regular polygon, find the measure of a) each interior angle and b) each exterior angle.

16) triangle

19) How many sides does a regular polygon have if the measure of each exterior angle is 60?

20) How many sides does a regular polygon have if the measure of each interior angle is 144?

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