Question

calculating a scale factor
triangle abc is dilated to create triangle abc using
point o as the center of dilation.
what is the scale factor of the dilation?
9
a
3
b
c
b
c
\\(\frac{1}{3}\\)
3
4
\\(\frac{1}{4}\\)

Explanation:

Step1: Recall scale factor formula

Scale factor = $\frac{\text{Image segment length}}{\text{Pre-image segment length}}$

Step2: Identify corresponding segments

OA' = 9 (image), OA = 3 (pre-image)

Step3: Calculate scale factor

$\frac{OA'}{OA} = \frac{9}{3} = 3$

Answer:

B. 3