Question

given △abc with \\(\overline{ab}\\) contained in the line \\(2x + 3y = 5\\). if △abc is dilated to get △abc, which of the following lines could contain ab? \\(3x - 2y = 10\\) \\(2x - 3y = 10\\) \\(2x + 3y = 10\\) \\(3x + 2y = 10\\)

Explanation:

Step1: Recall dilation property

Dilation preserves parallelism of lines.

Step2: Check parallel lines

Parallel lines have same coefficients for \(x\) and \(y\). Original line: \(2x + 3y = 5\). Match with options.

Answer:

C. \(2x + 3y = 10\)