Question

dilate △abc by a scale factor of (\frac{1}{2}) with the center of dilation at point c. where is the image of point c located? inside △abc, outside △abc, at point c

Explanation:

Step1: Recall Dilation Center Property

When a figure is dilated with a center of dilation at a point, the image of that center point under the dilation remains the same as the center point. This is because the distance from the center of dilation to itself is \(0\), and scaling \(0\) by any scale factor (here \(\frac{1}{2}\)) still gives \(0\). So, for dilation with center \(C\), the image of \(C\) is \(C\) itself.

Answer:

at point \( C \) (corresponding to the option "at point \( C \)")