Question

4.) Write a plan for the proof

Given) GI Bisects angle OGH
Prove) Triangle GJO is congruent to Triangle GJH

Answer 1

See below.

Explanation:

Side JG is congruent to side JG by reflexive.

Use the distance formula to show that sides OG and HG are congruent.

Use the distance formula to show that sides OJ and HJ are congruent.

Triangle GJO is congruent to triangle GJH by SSS

Answer 2

GI bisects angle OGH (Given)

Angle OGJ = Angle HGJ (Definition of angle bisector)

Angle OJG = Angle HJG (Definition of angle bisector)

GJ = GJ (Reflexive Rroperty)

∆GJO = ∆GJH (ASA)