Question

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dilate \\( \triangle a b c \\) 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 \\( \triangle a b c \\) outside \\( \triangle a b c \\) at point \\( c \\)

Explanation:

When a point is the center of dilation, it remains unchanged during the dilation process. This is a fundamental property of dilation. Since point \(C\) is the center of dilation, its image after dilation will be at the same location as the original point \(C\).

Answer:

at point \(C\)