Can someone help me with this triangle similarity geometry question, I don't know what to do or where to start?

Question

Given that lines AR and BH and bisect each other at F, which of the following would you use to prove AFB and RFH?

1. SSS
2. AAS
3. ASA
4. HL
5. SAS

Answer 1

Start by drawing a picture., seeing what is given about the triangles and what can be easily shown.

As AR is bisected at F, AF and FR are of equal length.

As BH is bisected at F, BF and FH are of equal length.

As ∠RFH is opposite ∠AFB, ∠RFH ≅ ∠AFB

Then, look again at the triangles. You will see that we have just shown SAS - two sides and the angle between them are congruent, so the triangles are congruent.