Justify why the figures are congruent or not

The figures are congruent

see the explanation

Step-by-step explanation:

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

Triangles A.B.F and E.D.C are congruent

because

A.B≅E.D

A.F≅E.C

B.F≅D.C

and

∠A≅∠E

∠B≅∠D

∠F≅∠C

so

The three sides and three interior angles of triangle A.B.F are congruent to the three sides and three interior angles of triangle E.D.C

Remember that

If two triangles have two equal angles, then the measure of the third angle must be equal

step-by-step explanation:

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