Question

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

Explanation:

Step1: Analyze the line of reflection

The dashed line is \(y = 1\).

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

The \(y\) - coordinate of point B is \(y = 4\). The distance from \(y = 4\) to \(y = 1\) is \(d=4 - 1=3\).

Step3: Find the new \(y\) - coordinate

Since we are reflecting over \(y = 1\), we move the same distance below the line. So the new \(y\) - coordinate is \(1-3=- 2\).

Step4: Note the \(x\) - coordinate

The \(x\) - coordinate remains the same during a horizontal reflection. The \(x\) - coordinate of B is \(x = 1\), so the new \(x\) - coordinate of \(B'\) is also \(x = 1\).

Answer:

\((1,-2)\)