Question

use the image to answer the question.
find the coordinates of point ( c ) by dilating ( \triangle abc ) by a scale factor of 2 with a center of dilation at the origin. enter your response as an ordered pair.
(1 point)
point ( c ) is at ( (square,square) )

Explanation:

Step1: Identify coordinates of C

From the graph, point \( C \) has coordinates \( (3, 0) \).

Step2: Apply dilation formula

The rule for dilation with scale factor \( k \) centered at the origin is \( (x, y) \to (kx, ky) \). Here, \( k = 2 \), so for point \( C(3, 0) \), we calculate \( (2 \times 3, 2 \times 0) \).

Step3: Calculate new coordinates

\( 2 \times 3 = 6 \) and \( 2 \times 0 = 0 \), so the coordinates of \( C' \) are \( (6, 0) \).

Answer:

\( (6, 0) \)