Question

If a model of the hexagon is made by using a scale factor of 6, which applies to the model? SELECT TWO OPTIONS..

A The model represents a reduction.
B Each side of the model is 15 feet long.
C The model is proportional to the original hexagon.
D One side of the model can be 8.5 feet.

Answer 1

b. each side of the model is 15 feet long

Answer 2

B. Each side of the model is 15 feet long.

C. The model is proportional to the original hexagon.

Explanation:

We know a model of the hexagon is made using a scale factor of 6, this means that model would be bigger, that's why choice A is not the answer, because the model doesn't represents a reduction.

Now, the hexagon as equal sides, the original has 2.5ft sides, if we multiply this by the scale factor 6, we would have
`2.5ft * 6 =15ft`. This means that the model hexagon is gonna sides of 15 feet.

Additionally, the model hexagon would be proportional to the original one, because the scale factor is a ratio that give the proportion between both figures. Actually, they are similar figures, becuase they are proportional.

Therefore, the right answer is B and C.