Question

1. a dilation maps point q(1, 3) to its image q(2, 6). complete the dilation of figure qrst and label the image qrst. what is the scale factor?

a 2
b 4
c \\(\frac{1}{2}\\)
d \\(\frac{1}{4}\\)

Explanation:

Step1: Find scale factor from Q to Q'

Scale factor $k = \frac{\text{Image coordinate}}{\text{Pre-image coordinate}}$. For x-coordinates: $k = \frac{2}{1} = 2$. For y-coordinates: $k = \frac{6}{3} = 2$.

Step2: Verify consistency

Both coordinates give the same scale factor, so $k=2$.

Answer:

A. 2