In the given figure . If `AB = CD, AD = BC` then prove that `triangle ADC cong triangle CBA`

In the given figure , if AB = BC , angle BAD = angle CAE then prove that triangle ADE is an isosceles triangle .

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

In the given figure, AB = BC, AD = CD. Then, which of the following is true?

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

In the given figure, figure, if angle 1 = angle 2 " and " triangle NSQ cong triangle MTR, then prove that triangle PTS ~ triangle PRQ .

In the given figure , D is a point on the side BC of Delta ABC such that angle ADC=angle BAC . Prove that CA^(2)=CBxxCD .

In quadrilateral ACBD, AC=AD and AB bisects /_ A . Show that triangle ABC cong triangle ABD . What can you say about BC and BD?

In the given figure, if DE |\| BC, then find the ratio of area of (triangle ADE) " and " (squareDECB).

In the given figure if AD bot BC prove that AB^(2)+CD^(2)= BD^(2) +AC^(2)