Question

Complete the two-column proof using the answers in the bank.

Answer 1

The proof is written below.

Explanation:

Given:

`DF \cong EF\\FG\ \textrm {bisects}\ \angle DFE`

Prove :

`\triangle DFG \cong \triangle EFG`

Proof:

`DF \cong EF \ \textrm{Given}\\FG\ \textrm{bisects}\ \angle DFE\ \textrm{Given}\\`

`\angle 1 \cong \angle 2` Definition of angle bisector

`\overline{FG} \cong \overline{FG}\ \textrm{Reflexive Property}\\\triangle DFG \cong \triangle EFG\ \textrm {SAS Congruence}`