Question

Easy question!

Are the two hexagonal prisms similar? if so, what is the scale factor of the first figure to the second figure?

Answer 1

Yes.

Scale factor = 2.5.

Explanation:

They are similar because corresponding dimensions are in the same ratio:

2/5 = 6/15.

The scale factor = 5/2 = 2.5.

Answer 2

• yes
• 5 : 2 or 2.5 : 1

Explanation:

The ratios of corresponding linear dimensions are identical:

5/2 = 15/6 = 2.5

so we can conclude the figures are similar. The scale factor is the ratio of corresponding dimensions:

first : second = 5 : 2 . . . or . . . 2.5 : 1