Answer:
Explanation:
given: triangle EDC is right angle isosceles triangle,AD and BC is perpendicular to AB.
statement reason 
1. in triangle AED and BEC
a.∠ADE=∠EBC a.given( AD and BC is perpendicular to AB)
b.∠AED+∠DEC=∠EBD+∠ECB b. exterior angle of triangle is equal to two ∠AED =∠ECB opposite interior angle and substracting 
 (∠DEC=∠EBD=90°) from both side
c.ED=EC c corresponding sides of equal angle in 
 isosceles triangle are equal
2 ∴ triangle AED is congruent to BEC 2. by A.A.S axiom