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reflect point c over the dashed line. enter the new coordinates. c = ( …

Question

reflect point c over the dashed line. enter the new coordinates. c = ( ?, )

Explanation:

Step1: Determine distance to line

The dashed line is \(x = 1\). Point \(C=(2,1)\). The distance from \(x = 2\) to \(x = 1\) is \(d=2 - 1=1\).

Step2: Calculate new x - coordinate

To reflect over \(x = 1\), we move the same distance on the other side of the line. So the new \(x\) - coordinate is \(1-1 = 0\). The \(y\) - coordinate remains the same since we are reflecting over a vertical line.

Answer:

\((0,1)\)