Question

A figure is located entirely in the third quadrant. If you reflect it over y = 0. Which quadrant will the resulting figure lie in?​

Answer 1

Answer: Quadrant 2

=================================================

Explanation:

Check out the diagram below. An example point in the third quadrant is (-2,-5). This quadrant is the southwest quadrant. Reflect the example point over the x axis (aka the line y = 0) and we get (-2,5). This is shown when we go from point A to point B in the diagram.

The reflection rule is $(x,y) \to (x,-y)$ showing that only the y coordinate changes from y to -y. If y is negative, then flip to positive, or vice versa. The x coordinate stays the same.

The point started in quadrant 3 and it moves to quadrant 2 after the reflection over the line y = 0.

Side note: all points on the line y = 0 have a y coordinate of 0