Which statement is not true?


A.
Every parallelogram is a rectangle.

B.
Every square is a rhombus.

C.
Every square is a parallelogram.

D.
Every rhombus is a parallelogram.

Loser

The statement "A. Every parallelogram is a rectangle." is not true.

To determine which statement is not true, we need to understand the properties of the different shapes involved. Let's analyze each statement:

A. Every parallelogram is a rectangle.
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. A rectangle is a special type of parallelogram with all angles equaling 90 degrees. Since not all parallelograms have 90-degree angles, statement A is not true.

B. Every square is a rhombus.
A square is a parallelogram with four equal length sides and four right angles. A rhombus is a parallelogram with four equal length sides, but its angles can be any value other than 90 degrees. Since a square has 90-degree angles, statement B is true.

C. Every square is a parallelogram.
A parallelogram is a quadrilateral with opposite sides that are parallel. Since a square has opposite sides that are parallel, statement C is true.

D. Every rhombus is a parallelogram.
A rhombus is a quadrilateral with four equal length sides, but its angles can be any value other than 90 degrees. Since a parallelogram only requires opposite sides to be parallel, and a rhombus satisfies this condition, statement D is true.

Therefore, the statement that is not true is A. Every parallelogram is a rectangle.

Draw a parallelogram. It does not have to be a rectangle.