-
Polygons 181819
- Sum of exterior angles of a polygon
- Sum of the Interior Angles of a Polygon
This activity is also part of one or more other Books. Modifications will be visible in all these Books. Do you want to modify the original activity or create your own copy for this Book instead?
This activity was created by '{$1}'. Do you want to modify the original activity or create your own copy instead?
This activity was created by '{$1}' and you lack the permission to edit it. Do you want to create your own copy instead and add it to the book?
Polygons 181819
Jalen Raymond, Jan 18, 2016
-
1. Sum of exterior angles of a polygon
-
2. Sum of the Interior Angles of a Polygon
Sum of exterior angles of a polygon
|
Reduce the size of the polygon and see what happens to the angles |
  |
Sum of the Interior Angles of a Polygon
Use your handout with these directions to discover the formula for finding the sum of the interior angles of any polygon.
1. Complete the table on your handout up to a polygon with 8 sides. As you complete each row, look for patterns in order to predict the sum of the next shape.
2. Once you complete the octagon, make a prediction for the measurements of a dodecagon. Use the slider to check your answer. Were you correct?
3. If you were asked to calculate the sum of the interior angles of any polygon, you should be able to do it without using this page. Come up with a formula that will work for n sides. (Hint: Click on the "Show triangles" box for a clue)
4. Use your formula to predict the sum of the angles of a 20-gon and a 30-gon. Use the slider to check your prediction. If you were incorrect, adjust your formula to make it work.
Saving…
All changes saved
Error
A timeout occurred. Trying to re-save …
Sorry, but the server is not responding. Please wait a few minutes and then try to save again.