Question

Which two triangles are congruent by ASA? Explain.

Between triangles OGH, FIN, and TCA, angles G, I, and C are equal, angles H, N, and A are equal, and sides GH, FN, and CA are equal.

Answer 1

OGH and TCA

Explanation:

that's quite easy...

the congruency criterion is ASA or Angle side Angle.

i.e. a side lying between two Angles.

so we have

GH = FN= CA

now, G=I= C

and H=N=A

it's pretty clear that G-GH-H = C-CA-A

(just to explain)

hence, the answer