We know : <em />To prove: AD = CD AB = CB angle BEA = angle BEC BE = BE (common side) So, by SAS criterion (Side-Angle-Side), ΔBEA congruent to ΔBEC. By seeing the corresponding parts of the Congruent triangles, we observe: AE = CE So, in triangles AED and CED, ED = ED (common side) AE = CE (given) angle AED = angle CED So, by SAS criterion: ΔAED is congruent to ΔCED. Therefore, by observing the corresponding parts of congruent triangles, we can say that: AD = CD.