Question

This diagram can be used to prove the Pythagorean theorem.

Answer 1

Answer:

D) See that the red and purple triangles can be subtracted from both pictures

Step-by-step explanation:

I just did answered this question on USATestprep

Answer 2

Answer:

D) See that the red and purple triangles can be subtracted from both pictures.

Step-by-step explanation:

The last option is mandatory to demonstrate the Pythagorean Theorem because if we subtract red and purple triangle for both pictures, it will remain only the squares, and the sum of the red and green ones would be equal than the blue one on the second picture, with demonstrate the theorem. It would be like:

$a^{2}+b^{2}=c^{2}$

Which actually is the Pythagorean Theorem. This graphic demonstration is often used in high school level to make students see the equivalence in that theorem.

Therefore, the answer is D.