Question

Prove if a parallelogram has (at least) one right angle, then it is a rectangle.

Answer 1

To prove that if a parallelogram has at least one right angle, then it is a rectangle, we can use the properties of rectangles and parallelograms.

Step-by-step explanation:

To prove that if a parallelogram has at least one right angle, then it is a rectangle, we can use the properties of rectangles and parallelograms.

1. Start by assuming the parallelogram has a right angle.
2. Then, use the fact that the opposite sides of a parallelogram are parallel and equal in length.
3. Show that if one angle is 90 degrees, then the opposite angles must also be 90 degrees.
4. Finally, conclude that all four angles of the parallelogram are right angles, making it a rectangle.