Given congruent squares

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*P*and*Q*, each of which, containing four congruent right triangles.
Move point

*A*to change the size of the rectangle or point*B*to change the size of the squares.- Show that the white quadrilateral in square
*P*is a square. - Explain why the area of the square in question 1 is equal to the sum of the area of the two white squares in square
*Q*. - Explain why the answers in questions 1 and 2 hold regardless of the shape of the triangles.