Question

reflect point c over the dashed line. enter the new coordinates. c = ( ?, ) (3,-3)

Explanation:

Step1: Analyze the line of reflection

The dashed line is \(x = 2\).

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

The x - coordinate of point C is \(x_C=3\), and the line of reflection is \(x = 2\). The distance \(d=3 - 2=1\).

Step3: Find the new x - coordinate

The new x - coordinate is \(2-1 = 1\) (since we are reflecting over \(x = 2\)). The y - coordinate remains the same as there is no vertical reflection. The y - coordinate of point C is \(y_C=-3\), so the y - coordinate of \(C'\) is also \(-3\).

Answer:

\((1,-3)\)