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

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

In the given figure, (AD)/(DB)=(AE)/(EC) and angle ADE=angle ACB . Prove that Delta ABC is an isosceles triangle.

In the given figure, if angleD = angleC, then it is true that triangle ADE ~ triangle ACB? Why?

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

In the given figure, in Delta ABC, angle B= angle C and BD= CE . Prove that DE||BC .

In the figure, angle D = angle E and (AD)/(DB) = (AE)/(EC) , prove that Delta BAC is an isosceles triangle

In the figure, angle D = angle E " and " (AD)/(DB) = (AE)/(EC) , prove that BAC is an isosceles triangle.

In the given figure,AD = AE and AD^(2)=BD xx EC prove that: triangles ABD and CAE are similar.

In the given figure, AB = AD and angle1=angle2 . Prove that : BC = DC

In the figure given below, ABC is a triangle with AB = BC and D is an interior point of the triangle ABC such that angle DAC = angleDCA. Consider the following statements : 1. Triangle ADC is an isosceles triangle. 2. Dis the centroid of the triangle ABC. 3. Triangle ABD is congruent to the triangle CBD. Which of the above statements are correct ?