In the diagram, DG = 15, GF = 5, EH = 12, and DE = 8. To prove that △DFE ~ △GFH by the SSS similarity theorem using the informat

Question

3 years ago

13

In the diagram, DG = 15, GF = 5, EH = 12, and DE = 8. To prove that △DFE ~ △GFH by the SSS similarity theorem using the informat

ion 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.

Mathematics

2 answers:

Leviafan [203] · Answer 1 · 2022-02-08T23:55:19+03:00

Leviafan [203]3 years ago

6 0

Answer:

answer is C

Step-by-step explanation:

Kaylis [27] · Answer 2 · 2022-02-08T22:08:23+03:00

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.