A triangle has vertices [math]G (2, –3)[/math], [math]H (–6, 2)[/math], and [math]J (0, 4)[/math]. If the triangle is dilated by a scale factor of [math]0.5[/math] through center [math]C (0, 0)[/math], what are the image vertices? Draw the preimage and image on the coordinate plane.
[list=1] [*]Start with one vertex and multiply each coordinate by the scale factor, [math]k[/math]. [*]Repeat the process with another vertex. Multiply each coordinate of the vertex by the scale factor. [*]Repeat the process for the last vertex. Multiply each coordinate of the vertex by the scale factor. [*]List the image vertices. [*]Draw the preimage and image on the coordinate plane. [/list]