Question

what is the scale factor from figure a to figure b? draw figure a 4 5 6 figure b 24 30 36

Explanation:

Step1: Recall scale - factor formula

The scale factor from Figure A to Figure B is found by dividing the corresponding side - lengths of Figure B by the corresponding side - lengths of Figure A. Let's use one pair of corresponding sides. For example, if we take the vertical sides, the length of the vertical side of Figure A is 4 and the length of the vertical side of Figure B is 24.

Step2: Calculate the scale factor

The scale factor $k=\frac{\text{side length in Figure B}}{\text{side length in Figure A}}$. Using the vertical sides, $k = \frac{24}{4}=6$. We can double - check with another pair of corresponding sides. For the hypotenuse, the length of the hypotenuse of Figure A is 6 and the length of the hypotenuse of Figure B is 36. Then $k=\frac{36}{6}=6$. Also, for the horizontal sides, the length of the horizontal side of Figure A is 5 and the length of the horizontal side of Figure B is 30, and $k=\frac{30}{5}=6$.

Answer:

6