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zepelin [54]
2 years ago
11

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.

<u>Statements:</u>                                                <u>Reasons: </u>

<u></u>\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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