Question

triangle qrs is dilated according to the rule d_{0.2}(x,y). what is true about the image \\(\delta qrs\\)? select three options. which statements are true? \\(d_{0.2}(x,y)=(2x,2y)\\) side qs lies on a line with a slope of - 1. \\(\overline{qr}\\) is longer than \\(\overline{qr}\\). the vertices of the image are closer to the origin than those of the pre - image. the distance from q to the origin is twice the distance from q to the origin.

Explanation:

Step1: Recall dilation rule

For $D_{0.2}(x,y)=(0.2x,0.2y)$.

Step2: Analyze side - length and distance

Dilation with scale factor $0.2$ makes image smaller, vertices closer to origin and pre - image segments longer.

Step3: Analyze slope

Slope of line between points won't change with dilation.

Answer:

Side Q'S' lies on a line with a slope of -1, $\overline{QR}$ is longer than $\overline{Q'R'}$, The vertices of the image are closer to the origin than those of the pre - image.