Question

Find the criteria of congruency for $\Delta ABC$ and $\Delta DEF$.

Answer 1

In $\Delta ABC$ and $\Delta DEF$,
AB = DE = 4 in
BC = EF = 6 in
$\angle ABC=\angle DEF={30}^{\circ }$

$\therefore \Delta ABC\cong \Delta DEF$ by S-A-S congruency

When two sides and an included angle of one triangle are equal to the corresponding two sides and the included angle of another triangle, the two triangles are congruent by S-A-S congruency.