Question

figure lm nopq is dilated to form figure lmnopq. the center of dilation is at point l. what is the scale factor? 1/4 1/2 2 4

Explanation:

Step1: Identify corresponding line - segments

Let's consider the line - segment $LM$ and $LM'$. Count the grid units. $LM$ has a length of 4 units and $LM'$ has a length of 2 units.

Step2: Calculate the scale factor

The scale factor $k$ of a dilation is given by the ratio of the length of the corresponding line - segment in the image to the length of the corresponding line - segment in the pre - image. So, $k=\frac{LM'}{LM}$. Substituting the values, we get $k = \frac{2}{4}=\frac{1}{2}$.

Answer:

B. $\frac{1}{2}$