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Investigating Rectangles

Look at rectangle ABDC below. You can adjust the rectangle by dragging points A and B. Interact with the diagram to answer the following questions. 1. What do you notice about the opposite sides of a rectangle - are they congruent? Based on this, is a rectangle a parallelogram? 2. What do you notice about the diagonals of a rectangle? 3. Why are the four pieces formed by the diagonals of a rectangle intersecting all congruent? 4. What do you notice about the angles of a rectangle?