Question

In the adjoining figure, PQRS is a parallelogram. It is given that
QY = YX = XS. Show that
(1) OX = OY
(it) PX || RY​

Answer 1

Answer:

In a parallelogram, we know that the diagonals bisect each other.

Therefore SO=OQ. This given 16=x+y. Similarly, PO=OR, so that 20=y+7. We obtain y=20−7=13 cm.

Substituting the value of y in the first relation, we get 16=x+13. Hence x=3 cm.