Question

1. if the figures below are similar, find the scale factor of figure b to figure a.

Explanation:

Step1: Recall the formula for scale factor

The scale factor of Figure B to Figure A is the ratio of corresponding side lengths of Figure B to Figure A.

Step2: Calculate the scale factor

Take a pair of corresponding sides. For example, \(16\) (side of Figure B) and \(32\) (corresponding side of Figure A). The scale factor \(k=\frac{16}{32}=\frac{1}{2}\). Check with another pair: \(20\) (side of Figure B) and \(40\) (corresponding side of Figure A), \(\frac{20}{40}=\frac{1}{2}\). Also, \(12\) (side of Figure B) and \(24\) (corresponding side of Figure A), \(\frac{12}{24}=\frac{1}{2}\).

Answer:

\(\frac{1}{2}\)