line segment ab is dilated to create line segment ab using point q as the center of dilation. what is the…
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
Answer
Explanation:
Step1: Recall scale - factor formula
The scale factor $k$ of a dilation with center $Q$ is given by $k=\frac{QA'}{QA}$.
Step2: Identify lengths
From the figure, $QA = 1.25$ and $QA'=1.25 + 1.25=2.5$.
Step3: Calculate scale factor
$k=\frac{QA'}{QA}=\frac{2.5}{1.25}=2$.
Answer:
2