Question

1. when the center of dilation is at the origin and the scale factor is 0.5, what happens to the figure? a. the figure disappears b. the figure enlarges to twice its original size c. the figure remains the same size d. the figure reduces to half its original size

Explanation:

Step1: Recall dilation concept

Dilation with a scale - factor \(k\) changes the size of a figure. If \(k> 1\), the figure enlarges; if \(k = 1\), the figure remains the same size; if \(0

Step2: Analyze given scale - factor

Here, the scale - factor \(k = 0.5\) which is between \(0\) and \(1\). When the scale - factor is \(0.5\), each coordinate of the original figure is multiplied by \(0.5\), and the figure reduces to half of its original size.

Answer:

d. The figure reduces to half its original size