Similar Triangles?

[Liz_O]

Are these two triangles similar? If so, state the similarity and tell which postulate or theorem you would use.

 

[tkhunny]

How about those two angles that meet in the middle - the ones inside the triangles. Are the measures of those angles equal?

 

[normabeatty]

View attachment 1676Are these two triangles similar? If so, state the similarity and tell which postulate or theorem you would use.

Some of the postulates that are available to you are:
SAS,
SSS,
SAA/AAS <--not actually proven, but used, yet?
ASA

If no angles are given then assuming the angles may be applicable.

So far I can see alternating angles:
angle GHK and angle JKH
angle GJK and angle GJH

The lines are parellel thus they are the same (though probably not the same length).
So.. You can go with ASA postulate.