In the following figures, `AB=PQ, AC=PR` and `AM=PN`. Prove that `DeltaABC cong DeltaPQR`.

In the given figure, PS = PR and /_TPS = /_QPR . Prove that PT = PQ .

In the given figure, PS=PR, angleTPS=angleQPR . Prove that PT=PQ .

In the adjoining figure, angleBAC=angleBDC and angleABC=angleBCD . Prove that : (i) DeltaABC cong DeltaDCB (ii) DeltaABE cong DeltaDCF .

In the given figure, we have PQ = SR and Pr = SQ. Prove that: DeltaPQR~=DeltaSRQ

Given a DeltaABD in which AB=AD and AC bisects BD . Prove that : DeltaABC cong DeltaADC .

In the given figure, PQ||AB and PR||AC . Prove that QR||BC

Which of the following pairs of triangles are congruent ? Also state the condition of congruency in each case : (iv) In DeltaABC and DeltaDEF, AB=EF, BC=DF and angleB=angleF (v) In DeltaABC and DeltaPQR, AB=QR, AC=PR and angleB=angleR (vi) In DeltaABC and DeltaPQR, angleA=angleP, AC=PR and AB=PQ (vi) In DeltaABC and DeltaPQR, AB=QR, angle A=angle Q and AC=QP .

In the given figure, the two sides AB and BC, and the median AD of DeltaABC are correspondingly equal to the two sides PQ and QR, and the medium PM of DeltaPQR . Prove that DeltaABC~=DeltaPQR.

In the given figure , AB = CD , CE = BF and angle ACE = angle DBF . Prove that triangle ACE cong triangle DBF

In figure, chord AB cong chord CD, Prove that, arc AC cong arc BD.