Question

If the sides of a parallelogram are equal in length, then which of the following conditions will always hold true?

• A. The diagonals are not equal
• B. The diagonals are equal in length.
• C. The angle between the diagonals is ${90}^{\circ }$
• D. The angle between the adjacent sides is ${90}^{\circ }$

Answer 1

The correct option is C The angle between the diagonals is ${90}^{\circ }$

If the sides of a parallelogram are equal, then it can be a rhombus or square.

Since it is asked to select the condition that holds true always, we need to select the condition that can be true for both rhombus and square.

The angle between the diagonals is ${90}^{\circ }$ is the only condition that holds true for both rhombus and square.