We want to make the proof as efficient as possible.
Show that GO≅ GH.
Practice makes perfect
To prove congruence between two non-right triangles, we can use one of four congruence theorem:
&SSS Congruence Theorem
&SAS Congruence Theorem
&AAS Congruence Theorem
&ASA Congruence Theorem
When coming up with a plan for the proof, we want to make sure it's as efficient as possible. To understand which of the congruence theorems we should use, let's add the given information to the diagram. At the same time, we will note that GJ is a shared side which means this side of the triangles is congruent according to the Reflexive Property of Congruence.
To prove congruence, all we need to do is to show that GO≅ GH. Then we have enough information to prove congruence by the SAS Congruence Theorem.
