Question

what is the scale factor from abcd to mnop? 3 2/3 3/2 2

Explanation:

Step1: Recall the formula for scale factor

Scale factor \(=\frac{\text{Length of corresponding side in MNOP}}{\text{Length of corresponding side in ABCD}}\)

Step2: Select corresponding sides

Take \(AB = 9\) in (from \(ABCD\)) and \(MN=6\) in (from \(MNOP\))

Step3: Calculate the scale factor

Scale factor \(=\frac{MN}{AB}=\frac{6}{9}=\frac{2}{3}\)

(We could also check with other pairs of corresponding sides. For example, \(BC = 3\) in and \(NO = 2\) in. Scale factor \(=\frac{NO}{BC}=\frac{2}{3}\))

Answer:

B. \( \frac{2}{3} \)