Question

line segment ab is dilated to create line segment ab using point q as the center of dilation. what is the scale factor? 1 1.25 2 2.5

Explanation:

Step1: Recall scale - factor formula

Scale factor $k=\frac{\text{distance from center to image}}{\text{distance from center to pre - image}}$.

Step2: Identify distances

Distance from $Q$ to $A'$ is $1.25 + 1.25=2.5$, distance from $Q$ to $A$ is $1.25$.

Step3: Calculate scale factor

$k = \frac{2.5}{1.25}=2$.

Answer:

2