Question

Please help me! Which congruence statement does not necessarily describe the triangle shown if DEF equals FGH?

Answer 1

ΔEDF ≅ ΔFGH in this congruence statement does not necessarily describe the triangle shown if DEF equals FGH, so, ΔEDF ≅ ΔFGH is correct answer.

What is a Congruent triangles :

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with each other.

Based on the given conditions,

Since,

ΔDEF ≅ ΔFGH

Then,

∠FED ≅ ∠HGF

∠EFD ≅ ∠GHF

∠EDF ≅ ∠GFH

Congruent triangles corresponding to equal angles,

Therefore,

ΔEDF ≅ ΔFGH in this congruence statement does not necessarily describe the triangle shown if DEF equals FGH.

To learn more about information visit Congruence triangle :

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