Question

The diagonals of parallelogram ABCD intersect at point E. Which of the following statements is not necessarily true?

a. BD bisect AC
b. AB=CD
c. BAD=BCD
d. AC=BD

Answer 1

I hope this helps you

Answer 2

(D)

Explanation:

It is given that The diagonals of parallelogram ABCD intersect at point E.

then, using the properties of parallelogram, we get

(A) BD bisects AC

This is correct statement because the diagonals bisect each other in parallelogram.

(B) AB=CD

This is correct statement because the opposite sides of the parallelogram are equal.

(C) ∠BAD=∠BCD

This is correct because opposite angles of the parallelogram are equal.

(D) AC=BD

This is not necessarily true, because if the diagonals of parallelogram are equal, then it is a rectangle.

Hence, option D is correct option that is not necessarily true.