Question

Identify the rule of congruency illustrated by which the two triangles are congruent.

Answer 1

From the given triangles, we get,

$\angle B=\angle E$

$\angle C=\angle D$

$BC=ED$

Two corresponding angles of both triangles are equal and the sides included between these angles (BC and DE) are also equal.

Thus, by the ASA (Angle-Side-Angle) rule of congruency, we get,

$\Delta ABC\cong \Delta FED$