This diagram is used to prove the Pythagorean Theorem. (1 point) Responses False; the green square needs to be congruent to the purple square to be a picture of the Pythagorean Theorem False; the green square needs to be congruent to the purple square to be a picture of the Pythagorean Theorem True; the area of the green square + the area of the purple square = the area of the red square True; the area of the green square + the area of the purple square = the area of the red square True; the area of the red square + the area of the green square = the area of the purple square True; the area of the red square + the area of the green square = the area of the purple square False; the squares all have similar areas, so does not show the Pythagorean Theorem False; the squares all have similar areas, so does not show the Pythagorean Theorem Skip to navigation
True; the area of the green square + the area of the purple square = the area of the red square
This is the correct response because the Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this diagram, the area of the green square (representing one side of the triangle) plus the area of the purple square (representing the other side of the triangle) is equal to the area of the red square (representing the hypotenuse).