Question

Each side of the regular hexagon below has the same measure.

A hexagon with side lengths of 2.5 feet.


If a model of the hexagon is made by using a scale factor of 6, which applies to the model? Select two options..

The model represents a reduction.

Each side of the model is 15 feet long.

The model is proportional to the original hexagon.

One side of the model can be 8.5 feet.

The scale factor is divided by 2.5 to get

Answer 1

Each side of the model is 15 feet long.

The model is proportional to the original hexagon.

Explanation:

If a model is drawn with scale of 2.5, each side of hexagon will be multiplied by 2.5 to get the length of a side of hexagon of the model.

Length of model hexagon= 2.5× 6 = 15

Answer 2

Each side of the model is 15 feet long.

The model is proportional to the original hexagon.

Explanation:

The scale factor is 6. Since scale factor = new length/original length,

new length = scale factor × original length = 6 × 2.5 feet = 15 feet.

Also, since the each side of the hexagon increases by a constant factor of 6, the model is proportional to the original hexagon.