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: Identify a vertex of Figure A

Take a vertex of Figure A, say (2,2).

Step2: Find corresponding vertex in Figure B

The corresponding vertex in Figure B is (6,6).

Step3: Calculate scale factor

Scale factor = $\frac{\text{Coordinate of B's vertex}}{\text{Coordinate of A's vertex}} = \frac{6}{2} = 3$.

Answer:

3