Question

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

Explanation:

Step1: Identify the line of reflection

The dashed - line is \(x = 1\).

Step2: Calculate the distance from point C to the line of reflection

The x - coordinate of point C is \(x = 2\), and the line of reflection is \(x = 1\). The distance \(d=2 - 1=1\).

Step3: Find the new x - coordinate

To find the new x - coordinate of the reflected point, we subtract the distance from the line of reflection from the line of reflection's x - value. So the new x - coordinate is \(1-1 = 0\).

Step4: Determine the y - coordinate

The y - coordinate of a point does not change when reflecting over a vertical line. The y - coordinate of point C is \(y = 1\), so the y - coordinate of the reflected point \(C'\) is also \(y = 1\).

Answer:

\((0,1)\)