An altitude of an equilateral triangle divides it into two congruent triangles.

State the condition for the following pairs of triangles to be congruent :$(SSS, ASA, SAS)$.

State the condition for the following pairs of triangles to be congruent :$(SSS, ASA, SAS)$.

State the condition for the following pairs of triangles to be congruent :$(SSS, ASA, SAS)$.

State the condition for the following pairs of triangles to be congruent :$(SSS, ASA, SAS, AAS)$.

Prove that 

$△ABE\cong △ACE$

Prove that 

$△AEB\cong △AEC$=${90}^{°}$