4. Rectangles
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Show that the other angles are also right angles.
See solution.
We are asked to write a paragraph proof to show that if a parallelogram has a right angle, then it is a rectangle.
Proof:
According to Theorem 6.6, if a parallelogram has a right angle, then all angles are right angles.
If all angles of a parallelogram are right angles, then by definition it is a rectangle.