Question

7. Given: 25 = 26, 23 = 24, DE = FE,

FG= DG, GE=GE. Provide an
additional statement and a reason for
that statement to prove ADEG=AFEG
by the definition of congruent triangles.
/5
D
6
1
2
E

Answer 1

The provided information is enough to show that the Δ DEG ≅ Δ FEG is congruent by SSS congruence theorem.

How to complete the proof

The two column proof is written as follows

Statement Reason

∠ 5 ≅ ∠ 6 given

∠ 3 ≅ ∠ 4 given

DE ≅ FE given

FG ≅ DG given

GE ≅ GE given

Δ DEG ≅ Δ FEG SSS congruence theorem