Question

complete the proof. give: EH and GI bisect each other. prove: triangle EFI is congruent to triangle HFG

Answer 1

A. 4. EFI = HFG 4. Vertical angles
5. EFI = HFG 5. SAS
is this it?

Answer 2

Given: Line Segment EH and GI bisect each other at F.

To Prove : Δ EFI ≅ ΔHFG

Proof:

In Δ E F I and ΔH F G

E F = F H→→[Given]

G F = F I →→[Given]

∠ E F I ≅ ∠ G F H→→[Vertically opposite angles]

Δ EFI ≅ ΔHFG→→→[Side Angle Side Congruency criterion]