A triangle has vertices [math]G[/math] (2, –3), [math]H[/math] (–6, 2), and [math]J[/math] (0, 4). If the triangle is dilated by a scale factor of 0.5 through center [math]C[/math] (0, 0), 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]