Question

$\overline{xy}$ is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the image $\overline{xy}$. if the slope and length of $\overline{xy}$ are m and l respectively, what is the slope of $\overline{xy}$?

○ a. $1.3×m$
○ b. $1.3×l$
○ c. $1.3×(m + l)$
○ d. m

Explanation:

Step1: Recall the property of dilation

Dilation is a transformation that changes the size of a figure but not its shape.
For a line segment, dilation with the origin as the center of dilation changes the length of the line segment (by the scale factor). But the slope of a line segment remains the same because the direction (which determines the slope) does not change during dilation.

Answer:

D. \(m\)