Question

what is the scale factor from figure a to figure b? draw figure a: 3 7 7 3 figure b: 12 28 28 12

Explanation:

Step1: Recall scale - factor formula

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

Step2: Choose a pair of corresponding sides

Let's take the shorter sides. The length of the shorter side of Figure A is 3, and the length of the corresponding side of Figure B is 12.

Step3: Calculate the scale factor

The scale factor $k=\frac{\text{side length in Figure B}}{\text{side length in Figure A}}=\frac{12}{3} = 4$. We can double - check with the longer sides. The longer side of Figure A is 7 and the corresponding side of Figure B is 28, and $\frac{28}{7}=4$.

Answer:

4