origami angle proofs

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Page 1: Origami Angle Proofs

GeometryOrigami angle proofs instructions

1. Follow the instructions to fold your square:Step 1: Start with a square piece of paper. Fold it in half horizontally.Step 2: Fold the top right vertex down to the horizontal crease line so that the new crease passes through the upper left vertex.

Step 3: Fold the bottom left vertex up to the horizontal crease line so that the new crease also passes through the upper left vertex.

Step 4: Fold along the edge created by the two folded triangles. The lower right vertex should come up and over the triangles.

2. Label each of the points as shown in the diagram below

3. On the back of this sheet, make a list of each angle and give logical arguments proving the measure of each angle (Hint: there are over 20 angles) No protractors Look for right angles Think about angles that might be bisected, congruent, supplementary, or

complementary For any angle whose measure you don’t know, write what you do know

(what is it congruent to? Supplement to? Etc.) Line up angles with a neighbor to check for congruence