# ICSE Class 9 Answered

**Q. 8**

Asked by Rayeesa | 04 Jun, 2018, 09:59: PM

Expert Answer

ABCD is a quadrilateral in which P, Q, R and S are mid-points of AB, BC, CD and DA respectively.

In triangle DAB

SP is parallel to DB .........mid-point thereom

similarly, RQ is parallel to DB

PQ is parallel to AC

SP is parallel to DB

PQRS is a parallelogram.

PR and QS are the diagonals of a parallelogram.

Hence, diagonals of a prallelogram bisect each other.

Answered by Sneha shidid | 06 Jun, 2018, 10:05: AM

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