Question

You have this information about ΔABC, ΔFDE, and ΔGIH:

AB = DF

AB = GI

BC = HI

DE = HI

m∠B = m∠D = m∠I

Which triangles must be congruent?

A.
ΔABC, ΔFDE, and ΔGIH

B.
ΔABC and ΔFDE only

C.
ΔGIH and ΔABC only

D.
none of the triangles

Answer 1

A. ΔABC, ΔFDE, and ΔGIH

Explanation:

Answer 2

All of the triangles are congruent. Answer A.

Explanation:

In these triangles AB=FD=GI, m<B=m<D=m<I, and BC=DE=IH. So all these triangles are congruent by side angle side or SAS.