Question

omari drew figures a, b, c, and d in the coordinate plane. the center of dilation is point m. which figure is a dilation of figure a? figure d is the scale factor greater or less than 1? complete the statement. figure d is larger than figure a, so the scale factor is greater than 1. what is the scale factor of the dilation?

Explanation:

Step1: Measure side - lengths

Let's assume the side - length of a small square on the grid is 1 unit. Measure a corresponding side of figure A and figure D. Suppose a side of figure A is 2 units long and the corresponding side of figure D is 4 units long.

Step2: Calculate scale factor

The scale factor $k$ of a dilation is given by the ratio of the length of a side of the dilated figure to the length of the corresponding side of the original figure. So $k=\frac{\text{side length of figure D}}{\text{side length of figure A}}$. Substituting the values, we get $k = \frac{4}{2}=2$.

Answer:

2