Pythagorean Theorem and Converse Exploration

Exploration #1: Drag the dots to match up the colors. What do you notice?
Exploration #2:
How do the areas of the two smaller squares relate to the area of the larger square? [br][br]How do the areas of the squares relate to the side of the triangle they're attached to?[br][br]Move the point at the right angle of the triangle to change the leg lengths of the triangle and test your theory using the slider.
Exploration #3: Click and drag the red points to see how the shape changes.
Exploration #4: Now apply the concept to a right triangle. Drag the points to see how the shape changes yet always satisfies the Pythagorean Theorem.
– carly santore, Karen Campe, SELENA PONCE, Jessica James, MiaPrep and Miacademy Math - Geometry, Steve Phelps

Information: Pythagorean Theorem and Converse Exploration