Question

In the adjoining figure PQRS is a parllelogram in which A is midpoint of side SR and Point B is a point on diagonal PR Such that RB = 1/4 PR Also Seg AB when produced meets side QR at point C Prove That C is midpoint of QR

Answer 1

in parallelogram PQRs
there is a triangle RSQ
in tri.RSQ
A is the mid pt of side SR
Therefore,by converse of mid pt thrm
AC is parallel to SQ and 1/2 of SQ
And also C is the mid pt of QR.