Question

In figure if AB parallel DC and AC, PQ intersect each other at the point O. prove that OA×CQ=OC×AP

Answer 1

Step-by-step explanation:

in triangle APO and triangle CQO

angle PAO = angle OCQ ( alternate angle)

angle POA = angle COQ( vertical opposite angle )

by AA criteria triangle APO is similar to triangle CQO

so

(AP/ CQ )= ( AO/ CO)

cross multiplication

AP X OC = CQ X OA

Answer 2

Answer:

Step-by-step explanation:

In triangle APO and triangle CQO

angle PAO = angle OCQ ( alternate angle)

angle POA = angle COQ( vertical opposite angle )

by AA criteria triangle APO is similar to triangle CQO

so

(AP/ CQ )= ( AO/ CO)

cross multiplication

AP X OC = CQ X OA