Given congruent squares 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.