56.4k views
0 votes
Which triangles must be congruent? Abc, fde, and gih.

Which triangles must be congruent? Abc, fde, and gih.-example-1
User FGRibreau
by
3.2k points

1 Answer

3 votes

Answer:

A. ΔABC, ΔFDE and ΔGIH

Explanation:

From the given descriptions for the three triangles, it can be inferred that;

DE ≈ HI ≈ BC

AB ≈ FD ≈ GI

m<B = m<D = m<I

So that by Side-Angle-Side (SAS) relations among the triangles, the three triangles are congruent.

This implies that: ΔABC ≅ ΔFDE ≅ ΔGIH

The appropriate answer to the given question is A.

User SundayMonday
by
4.0k points