Prove that `DeltaSQRandDeltaTPR` are congruent and SR = TR.

Congruent angles

In Fig.8.40, prove that Delta s OAM and OBN are congruent and hence prove that AM=BN

In the given figure, AD is the bisector of angleBAC . Prove that triangles ABD and ADC are congruent, if AB=AC.

Prove that, angles inscribed in the same are arc congruent.

In two right triangles one side an acute angle of one are equal to the corresponding side and angle of the other.Prove that the triangles are congruent.

Recall that two circles are congruent if they have the same radil.Prove that equal chords of congruent circles subtend equal angles at their centres.

Two circles touch externally at a point P From a point T on the tangent at P ,tangents TQ and TR are drawn to the circles with points of contact Q and R respectively.Prove that TQ=TR.( FIGURE )

If perpendiculars from any point with an angle on its arms are congruent,prove that it lies on the bisector of that angle.

In perpendiculars from any point within an angle on its arms are congruent,prove that it lies on the bisector of that angle.

Which of the following statements are true and which are false; All squares are congruent.If two squares have equal areas,they are congruent.If two rectangles have equal areas, they are congruent.If two triangles have equal areas,they are congruent.