Question

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

Explanation:

Step1: Select corresponding side lengths

Choose a side of Figure A and its corresponding side of Figure B. For example, if the length of a horizontal side of Figure A is \(x_A\) and the length of the corresponding horizontal side of Figure B is \(x_B\).

Step2: Calculate scale - factor

The scale factor \(k\) of a dilation is given by the ratio of the side - length of the dilated figure (Figure B) to the side - length of the original figure (Figure A), i.e., \(k=\frac{x_B}{x_A}\).

Answer:

(Without specific side - length values from the graph, we can't give a numerical answer. But the general method to find the scale factor is as above. If, for example, a side of Figure A has length 2 and the corresponding side of Figure B has length 4, the scale factor is \(k = 2\).)