Question

figure lmno is dilated to form figure lmno
where is the center of dilation located?
on a vertex of figure lmno
what is the scale factor of the dilation?

Explanation:

Step1: Determine the scale factor formula

The scale factor \(k\) of a dilation is given by \(k=\frac{\text{length of a side in the image}}{\text{length of the corresponding side in the pre - image}}\).

Step2: Measure the lengths

Let's assume the length of \(LM\) (pre - image) and \(L'M'\) (image). Count the number of units. Suppose \(LM = 4\) units and \(L'M'= 2\) units. Then \(k=\frac{L'M'}{LM}\).

Step3: Calculate the scale factor

Substitute the values: \(k = \frac{2}{4}=\frac{1}{2}\).

Answer:

\(\frac{1}{2}\)