Question

Triangle ABC has points at A (2, 2) B (5, 2) C (5, 8). Triangle ABC is reflected over the x-axis. What is the new point for A'? A.A' (2, 2)B.A' (2, -2)C.A' (-2, 2)D.A' (-2, -2)

Answer 1

Recall that when we reflect something across the x -axis, we are keeping x the same value and the y coordinate changes its sign. For example

So, if we have a point (a,b) the reflection across the x axis is (a,-b).

The point A is (2,2). So if we reflect it across the x axis, we keep the first coordinate the same and multiply the second one by -1. So we get A'(2,-1*2)=(2,-2).