Question

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

Explanation:

When a figure is dilated with the center of dilation at a point, that point remains unchanged. In this case, the center of dilation is point \(C\). So, the image of point \(C\) after dilation is still point \(C\) itself.

Answer:

C. at point \(C\)