# In the triangles, line segment b c is-congruent-to line segment d e and line segment a c is-congruent-to

In the triangles, line segment b c is-congruent-to line segment d e and line segment a c is-congruent-to line segment f e. triangles a b c and f d e are shown. the lengths of sides a c and f e are congruent. the lengths of sides b c and d e are congruent. if m angle c is greater than m angle e, then line segment a b is line segment d f.

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1. ecolifesfsu1263 says:

Longer than

Step-by-step explanation:

The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. Therefore:

AC = FE, BC = DE

Also m∠C is greater than m∠E

∠C is the angle opposite to line AB and ∠E is the angle opposite to line DF. Since AC = FE, BC = DE and m∠C is greater than m∠E. The length of a side of a shape is proportional to its opposite angle, since the opposite angle of AB is greater than the opposite angle of DF  therefore AB is greater than DF