Question

using dilations to make similar figures
given △abc, use a dilation with the center at the origin to make a similar triangle with side lengths three times as large. what are the coordinates of c of the image?
○ (-6, 3)
○ (-3, 6)
○ (3, -6)
○ (6, -3)

Explanation:

Step1: Find coordinates of point C

From the graph, point C is at (2, -1).

Step2: Apply dilation scale factor 3

Multiply each coordinate by 3: \( (2 \times 3, -1 \times 3) = (6, -3) \).

Answer:

D. (6, -3)