a dilation centered at the origin is applied to figure a. the result is figure b.\nwhat is the scale factor…

a dilation centered at the origin is applied to figure a. the result is figure b.\nwhat is the scale factor of the dilation? write your answer as a whole number or a fraction in simplest form.

a dilation centered at the origin is applied to figure a. the result is figure b.\nwhat is the scale factor of the dilation? write your answer as a whole number or a fraction in simplest form.

Answer

Explanation:

Step1: Pick corresponding vertices

Choose a vertex from Figure A and its image in Figure B. For example, the bottom-right vertex of Figure A is $(18, -5)$, and the corresponding vertex of Figure B is $(6, -\frac{5}{3})$.

Step2: Calculate scale factor

The scale factor $k$ is the ratio of the coordinates of the image to the original. Use the x-coordinates: $k = \frac{6}{18}$ Simplify the fraction: $\frac{6}{18} = \frac{1}{3}$ Verify with y-coordinates: $\frac{-\frac{5}{3}}{-5} = \frac{1}{3}$

Answer:

$\frac{1}{3}$