4 of 64 of 6 Items

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 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 gre…

Answer 1

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.