Question

This diagram can be used to prove the Pythagorean Theorem.

Which statement would be included as a crucial step in proving the Pythagorean Theorem using this diagram?

(2 points)

The yellow square on the left contains the four triangles on the right

The area of the purple and red triangles on the left add to be the area of the yellow square.

The blue square on the right contains the yellow square + the green square on the left

The yellow square + the green square equal the 2 rectangles on the left
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Answer 1

The blue square on the right contains the yellow square + the green square on the left.

This states that the area of the square on the hypotenuse equals the sum of the areas of the squares on the two legs — the key step in the diagrammatic proof of the Pythagorean Theorem.