https://file.aiquickdraw.com/mathbot/file/1726160920681u5q19k5w.jpg

To determine the scale factor of the dilation, we need to compare the sizes of Figure A and Figure B.

From the provided graph, we can measure the dimensions of each figure:

- **Figure A** has width and height of **2** units each, as it extends from (20,12) to (22,14).
- **Figure B** has width and height of **4** units each, as it extends from (16,8) to (20,12).

Since the size of Figure B is double the size of Figure A in both dimensions, the scale factor is \(2\). This means every linear dimension of Figure A has been multiplied by 2 to obtain Figure B. The scale factor in simplest form is therefore **2**.

Would you like to know more about how dilation transformations work or how they are applied in different contexts? Here are some related questions you could consider:

1. What happens to the area of a shape when it undergoes dilation?
2. How would the scale factor change if the dilation center were not at the origin?
3. Can you provide examples of real-world applications of dilation?
4. What are the properties of figures that are preserved under dilation?
5. How would the coordinates of a point change under a dilation with a different scale factor?

Tip: Always ensure that when measuring changes due to transformations like dilation, the center and scale factor are correctly identified to avoid miscalculations.

A dilation centered at the origin is applied to Figure A. The result is Figure B. What is the scale factor of the dilation?

Learn how to calculate the scale factor of a dilation applied to Figure A resulting in Figure B. This geometry problem explores transformations and dilations, providing a step-by-step solution. Suitable for Grades 8-10.

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