In the diagram, dg = 15, gf = 5, eh = 12, and de = 8. to prove that △dfe ~ △gfh by the sss similarity theorem using the information provided in the diagram, it would be enough additional information to know that a) hf is 2 units and gh is 3 units. b) hf is 3 units and gh is 2 units. c) hf is 4 units and gh is 2 units. d) hf is 3 units and gh is 4 units.

C) HF is 4 units and GH is 2 units.

Step-by-step explanation:

The SSS similarity theorem says that if the side-lengths of the corresponding sides of two triangles are proportional then the triangles are similar.

In ΔDFE and ΔGFH ,

DG = 15, GF = 5, EH = 12, and DE = 8.

To prove ΔDFE and ΔGFH are similar by using SSS similarity theorem we need :-

Hence, To prove that △DFE ~ △GFH by the SSS similarity theorem using the information provided in the diagram, it would be enough additional information to know that HF is 4 units and GH is 2 units.