Question

what is the scale factor from mnop to abcd? 2/3 1/2 2 3/2

Explanation:

Step1: Recall the formula for scale factor

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

Step2: Select corresponding sides

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

Step3: Calculate the scale factor

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

(We could also check with other corresponding sides: \(\frac{AD}{MP}=\frac{6}{4}=\frac{3}{2}\), \(\frac{BC}{NO}=\frac{3}{2}\))

Answer:

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