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: Identify QM length

From the diagram, \( QM = 3 \).

Step2: Apply dilation scale factor

Dilation with scale factor \( k = 2 \) means \( QM'=k\times QM \).
Substitute \( k = 2 \) and \( QM = 3 \): \( QM'=2\times3 = 6 \).

Answer:

6