Question

PQRS is a trapezium in which PQ|| RS and its diagonal each other at point O. Prove that PO/QO=RO/SO​

Answer 1

Step-by-step explanation:

join pr and qs

point of intersection is o

in triangle pqo and rso

angle pqo = angle rso. ....... alternate pair angles

angle qpo = angle sro ........ alternate angles

triangle pqo ~triangle rso

pq/RS = qo / so = po/ ro ..........csst

qo / po = ro / so ..........alterendo