You have this information about ΔABC, ΔDEF, and ΔGHI:

AB = DF

AB = GI

BC = HI

DE = HI

m∠B = m∠D = m∠I

Which triangles must be congruent?

ΔABC, ΔDEF, and ΔGHI

ΔABC and ΔDEF only

ΔGHI and ΔABC only

none of the triangles

Question

You have this information about ΔABC, ΔDEF, and ΔGHI:

AB = DF

AB = GI

BC = HI

DE = HI

m∠B  = m∠D = m∠I

Which triangles must be congruent? 

    ΔABC, ΔDEF, and ΔGHI

    ΔABC and ΔDEF only 

    ΔGHI and ΔABC only

    none of the triangles

anonymous · Answer

@caozeyuan

anonymous · Answer

All 3 are congruent by Side-Angle-Side