Question

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.

Answer 1

answer is C

Explanation:

Answer 2

SSS stands for side-side-side.


It is a criterion for triangles' similarity.


This criterion tells that if the 3 sides of two triangles have same ratio, then the two triangles are similar.


In this case, you have to refer to the figure to check that if HF is 4 units and GH is 2 units, you can infere that the SSS crieterion is satisfied.


For example, you will find these ratios 8/10 = 4/5.


Then, the answer is the option C. HF is 4 units and GH is 2 units.