In the given figure, `(QT)/(PR)=(QR)/(QS)` and `/_1=/_2`. Prove that `/_\PQS~/_\TQR`.

In the given figure, (QT)/(P)R = (QR)/(QS) and angle 1 = angle 2 . Prove that triangle PQS ~ triangle TQR .

In the given figure PQ|\|RS . Find x, y.

In the given figure, AB=BC and AC=CD. Prove that angelBAD: angelADB = 3:1

In adjacent figure, PR > PQ and PS bisects /_QPR . Prove that /_PSR > /_PSQ .

In the given figure, DE||AC and DF||AE . Prove that (BF)/(FE)=(BE)/(EC) .

In the given figure anglePQR = anglePRQ , then prove that anglePQS = anglePRT.

In the given figure, LM|\|CB and LN|\|CD . Prove that (AM)/(AB)=(AN)/(AD) .

In the given figure anglePQR = anglePRQ , then prove that anglePQS = anhlePRT .

From the adjacent figure PR = QR, find x, y, z.

In the adjacent figure, if triangle PQS ~ triangle ROQ , prove that PS||QR .