Question

HELP GEOMETRY

Segment GE is an angle bisector of both angle HEF and angle FGH. Prove triangle HGE is congruent to triangle FGE.


Match the correct statement with its reasoning to complete the proof.

Segment GE is congruent to Segment GE

Angle HEG is congruent to angle FEG, and angle HGE is congruent to angle FGE
Triangle HGE is congruent to triangle FGE

Options:
They are the same segment
Definition of angle bisectors
Angle side angle

Answer 1

Segment GE is congruent to segment GE - They are the same segment

Angle HEG is congruent to angle FEG, and angle HGE is congruent to angle FGE - Definition of angle bisectors

Triangle HGE is congruent to triangle FGE - Angle Side Angle