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3 years ago

I need help with this proof

Mathematics

1 answer:

Maksim231197 [3]3 years ago

6 0

Answer:

See explanation

Step-by-step explanation:

Consider two triangles ABF and EDF. These triangles are two right triangles, because angles B and D are right anges.

In these triangles,

∠ABF ≅ ∠EDF - as two right angles;
BF ≅ FE - given;
∠AFB ≅ ∠EFD - as vertical angles when two lines AD and BE itersect.

By ASA postulate (or HA postulate) these triangles are congruent, so

ΔABF ≅ ΔEDF

Congruent triangles have congruent corresponding parts, so

FA ≅ EF

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