Question

use the drawing tool(s) to form the correct answer on the provided graph. the rectangle shown is dilated by a scale factor of 1.5 with the origin as the center of dilation. draw the resulting rectangle.

Explanation:

Step1: Identify original rectangle vertices

Assume original vertices (from graph): $(-1,2)$, $(5,2)$, $(5,4)$, $(-1,4)$

Step2: Apply dilation factor 1.5

New vertices: $(-1×1.5,2×1.5)=(-1.5,3)$, $(5×1.5,2×1.5)=(7.5,3)$, $(5×1.5,4×1.5)=(7.5,6)$, $(-1×1.5,4×1.5)=(-1.5,6)$

Step3: Draw new rectangle

Connect new vertices with line segments.

Answer:

The resulting rectangle has vertices at $(-1.5,3)$, $(7.5,3)$, $(7.5,6)$, and $(-1.5,6)$ (draw these points and connect them).