Question

line segment lm is dilated to create lm using point q as the center of dilation and a scale factor of 2. what is the length of segment qm?

Explanation:

Step1: Recall the dilation formula

When a point \(M\) is dilated with center \(Q\) and scale factor \(k\), the length of \(QM'\) is given by \(QM'=k\times QM\). Here, \(k = 2\) and \(QM=3\).

Step2: Calculate \(QM'\)

Substitute the values into the formula: \(QM'=2\times3\).

Answer:

\(6\)