Given triangle ABC ~ triangle GHI and triangle DEF ~ triangle GHI prove triangle ABC ~ triangle DEF

Question

Given triangle ABC ~ triangle GHI and triangle DEF ~ triangle GHI

prove triangle ABC ~ triangle DEF

Answer 1

Dan,

 

This is an application of the transitive property.

 

If ABC ~ GHI and DEF ~ GHI, then ABC must be ~  DEF since they are both similar to GHI