1.

In the figure, if PQ||RS, prove that ∆POQ~∆SOR.

Answer»

Given that PQ||RS.

In triangles ∆POQ and ∆SOR,

\(\angle\)QPO = \(\angle\)OSR (As PQ||RS, Alternate angles )

\(\angle\)PQO = \(\angle\)ORS (As PQ||RS, Alternate angles )

\(\angle\)POQ = \(\angle\)ROS (Vertically opposite triangle )

Therefore, ∆POQ~∆SOR (By using AAA similarity criterion)



Discussion

No Comment Found

Related InterviewSolutions