Question

1. what is the scale factor of figure a to figure b (left to right)? write your answer as a simplified ratio or a simplified fraction.

Explanation:

Step1: Identify corresponding sides

The corresponding sides are \(21.5\) (in Figure A) and \(8.6\) (in Figure B).

Step2: Calculate the scale factor

The scale factor \(k=\frac{\text{side in A}}{\text{side in B}}\). So \(k = \frac{21.5}{8.6}\).

$$ \frac{21.5}{8.6}=\frac{21.5\div8.6}{8.6\div8.6}=\frac{2.5}{1}=\frac{25}{10}=\frac{5}{2} $$

Answer:

\(\frac{5}{2}\)