Question

P and Q are reflections of (2, – 3) across the x-axis and the y-axis, respectively. Find the length of PQ in simplest radical form.

Answer 1

(-2,3)

Explanation:

When you reflect a point over the x axis, the y value is changed to the opposite value (positive)

So (2,-3) reflected across the x axis is (2,3)

Next, we need to reflect this across the y axis

When you reflect a point over the y axis, the x value is changed to the opposite value (negative)

(2,3) reflected across the y axis is (-2,3)