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2 years ago

Please help

Mathematics

1 answer:

daser333 [38]2 years ago

6 0

Answer:

See Below.

Step-by-step explanation:

We can write a two-column proof.

Statements: Reasons:

$\displaystyle 1)\, F\text{ is the midpoint of } AE$ Given

$\displaystyle 2) \, \overline{FA} \cong \overline{FE}$ Definition of Midpoint

$\displaystyle 3) \, AB\parallel DE$ Given

$\displaystyle 4)\, \angle B \cong \angle D$ Alt. Int. Angles Are Congruent

$\displaystyle 5)\, \angle A \cong E$ Alt. Int. Angles Are Congruent

$\displaystyle 6) \, \Delta BFA \cong \Delta DFE$ AAS Congruence

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