Question

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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: Determine the length of corresponding sides

Let's assume a side length in Figure A. For example, if the base of the triangle in Figure A is \( 4 \) units (by counting the grid - squares). The base of the triangle in Figure B is \( 8 \) units.

Step2: Calculate the scale factor

The scale factor \( k \) of a dilation is given by the formula \( k=\frac{\text{length of side in image (Figure B)}}{\text{length of side in pre - image (Figure A)}} \). Using the base lengths, \( k = \frac{8}{4}\)

Answer:

\( 2 \)