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Lesson 11

1. Lesson 11

1.3. Discover 3

Module 2: Lesson 11

Module 2: Logic and Geometry

 

Try This 2
 

Use the applet Exterior Angles of Polygons to investigate the measure of the exterior angles of polygons. The applet lets you experiment with three-, four-, and five-sided polygons. Restrict the shape of the polygons you create to convex polygons. Based on the evidence you gather, you will make conjectures about the measure of exterior angles of polygons.

 

 

This is a screenshot for Exterior Angles of Polygons.

 

convex polygon: a polygon in which all interior angles measure less than 180°

 

This illustration is a convex and a concave pentagon.


 

  1. Make a conjecture about the sum of the measures of the exterior angles of any triangle.

  2. Make a conjecture about the sum of the measures of the exterior angles of any convex quadrilateral.

  3. Make a conjecture about the sum of the measures of the exterior angles of any convex pentagon.

  4. Make a conjecture about the sum of the measures of the exterior angles of any convex polygon.
Share 1
 

Discuss your conjecture for the sum of the measures of the exterior angles of any convex polygon with another student or partner. In your discussion, consider the following questions:

  • How do your conjectures about the sum of the measure of the exterior angles of any convex polygon compare?

  • How are they the same?

  • How are they different?