Use the figure above to identify a pair of similar triangles, then find the scale factor. the image is not drawn to scale. a. hef ~egh with a scale factor of root 3.2. b. heg-gef with a scale factor of 2: 1. c. hef -egf with a scale factor of root 3.1. d. hef -gef with a scale factor of 3.1.

Option C.

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem triangles HEF and EGE are similar  

because

substitute the values

Is true

The sides are proportional

and

∠HFE=∠GFE

∠EHF=∠GEF

∠HEF=∠EGF

The angles are congruent

The scale factor is equal to

Option C

Step-by-step explanation:

Two triangles are similar if they have at least 2 equal angles

Note that the HEF triangle has angles of 90 °, 60 ° and 30 °

Note that the EGF triangle has angles of 90 ° and 30 ° so the third angle must be 60 °

Then HEF and EGF are similar triangles.

By definition for similar triangles it is satisfied that if they have sides of length a, b, c and a ', b' c' then

Where the constant k is known as "scale factor"

In this case

or

The answer is Option C

any options?

step-by-step explanation: