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 and AB=CD , prove that: triangle AOB is congruent to triangle DOC.

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 "||"Dc and AD "||"BC Show that triangle ABC ~= triangle CDA

In Delta ABC ,AD is a perpendicular drawn from A to the side BC. If AD^(2)=BD . CD , then prove that the triangle is a right-angled triangle.

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 following figure, OA=OC and AB=BC . Prove that : AD=CD

In the given figure, DE // BC. Prove that Delta ADE and Delta ABC are similar

ABCD is a quadrilateral in which AD = BC and angle DAB =angle CBA (see Fig. 7.17). Prove that (i) triangle ABD cong triangle BAC (ii) BD = AC (iii) angle ABD = angle BAC .