Question

Please help

Given: F is the midpoint of AE and AB ll DE
Prove: △BFA = △DFE

Statements and Reasons

Answer 1

See Below.

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