Question

The coordinates of Line AB are A (-2, -1) and B(-1, -3). What are its coordinates when reflected over the x axis?

Answer 1

When a line is reflected along the x axis, the sign of the x coordinate of the points on the line remains the same while that of the y coordinate is reversed. Therefore,

For point A, the x coordinate is - 2 and the y coordinate is - 1. After relection over the x axis, it becomes

(- 2, - -1)

= (- 2, 1)

For point B, the x coordinate is - 1 and the y coordinate is - 3. After relection over the x axis, it becomes

(- 1, - -3)

= (- 1, 3)

The coordinates after reflection are A(- 2, 1), B(- 1, 3)