Question

Which of the following properties need not be true for a parallelogram?

• A. It's diagonals are equal
• B. It's diagonals are perpendicular to each other
• C. The diagonals divide the figure into four congruent triangles.
• D. All the above

Answer 1

Answer: (D)

All the above

A) The diagonals of a parallelogram need not be equal.
Option $A$ need not be true.

B)In a parallelogram, diagonals need not be perpendicular to each other.
Option $B$ need not be true.

C) In a parallelogram, diagonals need not divide it into four congruent triangles.
Option $C$ need not be true.

So the correct answer is option $D$.