Question

A small hexagon was graphed on a coordinate plane. By what scale factor was the hexagon dilated to create the larger hexagon?

A) 2


B) 1/2


C) 2/3


D) 3/2

Answer 1

Answer: is D 3/2

Step-by-step explanation:

Answer 2

Consider the point where the hexagons meet the positive half of the y axis.

The inner hexagon meets the axis at
`y=4`, whereas the outer hexagon meets the axis at
`y = 6`

So, we're looking for a dilation constant
`k` such that

`4k = 6`

So, solving by k we have

`k = (6)/(4) = (3)/(2)`