360 Degrees in a Quadrilateral Experiment

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Follow the instructions below to demonstrate that the sum of the internal angles in a quadrilateral is 360°.

Step 1 of 360 degrees in a quadrilateral activity Step 2 of 360 degrees in a quadrilateral activity Step 3 of 360 degrees in a quadrilateral activity

1. Cut out the quadrilateral as close to the lines as possible.

2. Cut or carefully tear the quadrilateral into four similar sized pieces each with a vertex.

3. Arrange the four pieces with vertices touching.


Quadrilateral for cutting and rearranging

-You will find a related lesson on finding missing angles here and there is also another experiment worksheet that shows that there are 180° in a triangle.

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Related Resources

The various resources listed below are aligned to the same standard, (8G05) taken from the CCSM (Common Core Standards For Mathematics) as the Geometry Worksheet shown above.

Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.


Lines and Angles


Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Understand congruence and similarity using physical models, transparencies, or geometry software