Diagrams - Geometry Worksheet

Use these diagrams to help complete the chart:

Answer the following questions, in complete sentences.

1. What patterns do you notice in the table? Use complete sentences.

2. Explain the relationship between the number of sides of the polygon, and the number of non-overlapping triangles in the polygon.

3. Explain the relationship between the number of sides of the polygon and the sum of the interior angles. Use complete sentences.

4. Write an algebraic formula to describe the relationship between:

a. the # of sides of a polygon and the sum of the interior angles of the polygon

b. the # of sides of a polygon and the measure of 1 interior < of a regular polygon

c. the # of sides of a polygon and the sum of the exterior angles of the polygon

d. the # of sides of a polygon and the measure of 1 exterior angle of a regular polygon

Sum interior = _

One Int. Angle regular= _

Sum exterior

One Ext. Angle

reg

uiar =,

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