Question

what is the scale factor from figure a to figure b?
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Explanation:

Step1: Recall the formula for scale factor

Scale factor \(=\frac{\text{Length in Figure B}}{\text{Length in Figure A}}\)

Step2: Choose corresponding sides

Let's take the sides of length \(5\) (Figure A) and \(15\) (Figure B).
Scale factor \(=\frac{15}{5}\)

Step3: Calculate the value

\(\frac{15}{5} = 3\)

We can check with another pair of sides. For sides of length \(8\) (Figure A) and \(24\) (Figure B), \(\frac{24}{8}=3\)

Answer:

\(3\)