Question

1 write the line of reflection shown and give the coordinates of the image point of a. line of reflection: a(

Explanation:

Step1: Identify the line of reflection

The line of reflection is a vertical line. Looking at the grid, it passes through \(x = 1\).

Step2: Find the coordinates of point \(A\)

Point \(A\) has coordinates \((4,3)\).

Step3: Calculate the distance from \(A\) to the line of reflection

The distance from \(x = 4\) to \(x=1\) is \(d=\vert4 - 1\vert=3\).

Step4: Find the \(x\) - coordinate of \(A'\)

Since we are reflecting over \(x = 1\), the \(x\) - coordinate of \(A'\) is \(1-3=-2\). The \(y\) - coordinate remains the same (because reflection over a vertical line does not change the \(y\) - value).

Answer:

Line of reflection: \(x = 1\); \(A'(-2,3)\)