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Question

Question

Looking at this proof of the Pythagorean Theorem, which statement(s) would be true?  CHECK ALL THAT APPLY.

(2 points)
Responses

The yellow triangles have an area of a x b, which would = c
The yellow triangles have an area of a x b, which would = c

The area of both large squares are equal; so the triangles with the square(s) must have a total area that is equal to each other.
The area of both large squares are equal; so the triangles with the square(s) must have a total area that is equal to each other.

length of a + length of b = length of c
length of a + length of b = length of c

The four yellow triangles on the left all have the same area as the four yellow triangles on the right (a+b/2) - therefore, the two small green squares on the left have to have the same area as the large green square on the right.

The length of a is the same as the length of c - (a+b).

Answer 1

The yellow triangles have an area of a x b, which would = c
The area of both large squares are equal; so the triangles with the square(s) must have a total area that is equal to each other.
The four yellow triangles on the left all have the same area as the four yellow triangles on the right (a+b/2) - therefore, the two small green squares on the left have to have the same area as the large green square on the right.