The false statement is - 'A parallelogram is a rectangle.'
The correct answer is an option (C)
What is a regular quadrilateral?
"It is a 4 sided polygon which is equiangular and equilateral."
What is rectangle?
"It is a quadrilateral in which all angles measure 90° and opposite sides are parallel and equal in length."
What is parallelogram?
"It is a quadrilateral in which opposite sides are parallel and equal in length."
What is equiangular quadrilateral?
"It is a quadrilateral that has 90° internal angles."
For given question,
We know that a square is a equiangular quadrilateral and all sides are congruent.
This means, a square is a regular quadrilateral.
A rectangle is an equiangular quadrilateral, as all internal angles of rectangle measure 90°
By definition of parallelogram, opposite sides of a parallelogram are congruent.
But a parallelogram is not an equiangular quadrilateral.
So, a parallelogram is not a rectangle.
Therefore, the false statement is - 'A parallelogram is a rectangle.'
The correct answer is an option (C)
Learn more about the parallelogram here:
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