State true or false:

If diagonals of a quadrilateral bisect each other, it must be a parallelogram.

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

True

False

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given a statement, if diagonals of a quadrilateral bisect each other, it must be a parallelogram.
We need to check if the given statement is true or false.
A parallelogram is a quadrilateral with its pair of opposite sides parallel and equal.
Also, its pair of opposite angles are equal and its diagonal bisect each other, as shown in the diagram below,
Question Image

So, we can conclude that if the diagonals of any quadrilateral are bisecting each other, then it must be a parallelogram.
Hence, the statement is true.
Hence, the correct option is (1).

Watch 3-min video & get full concept clarity