Question

what is the scale factor from shape a to shape b?

Explanation:

Step1: Recall the formula for scale factor

Scale factor \(=\frac{\text{Corresponding side length of shape B}}{\text{Corresponding side length of shape A}}\)

Step2: Identify corresponding side lengths

Take the vertical side lengths: \(7\mathrm{cm}\) in shape A and \(14\mathrm{cm}\) in shape B.

Step3: Calculate the scale factor

Scale factor \(=\frac{14}{7} = 2\)

(We could also check with other corresponding sides. For example, the shorter horizontal side: \(3\mathrm{cm}\) in A and \(6\mathrm{cm}\) in B. \(\frac{6}{3}=2\))

Answer:

2