Question

True or False? If a circle is circumscribed about a parallelogram, the parallelogram must be a rectangle.

Answer 1

Answer: True, If a circle is circumscribed about a parallelogram, the parallelogram must be a rectangle.

Explanation:

It is true statement.

Since we know that if a circle is circumscribed about a parallelogram, the parallelogram must be a rectangle.

As circumscribed parallelogram has the sum of opposite sides of the parallelogram is supplementary.

So, each angle becomes right angle and we know the property of parallelogram that opposite sides are equal.

Answer 2

It is absolutely true that if a circle is circumscribed about a parallelogram, the parallelogram must be a rectangle. The correct option among the two options that are given in the question is the first option. It has to be remembered that opposite angles of a parallelogram is always supplementary, when inscribed within a circle.