Prove the Following:

Question

Given: NR bisects AE at D

AN ⊥ NR, ER ⊥ NR

Prove: Triangle AND is congruent to triangle ERD

Answer 1

angle ADN = angle EDR because they are vertical angles...

AD = ED per given bisector

angle AND = angle ERD = 90 per given perpendicular

This forces angle DAN = angle DER

the right triangles are congruent by HA,ASA