Question

the point a is plotted on the coordinate grid below. plot the point a, the reflection of a over the x - axis. click on the graph to plot a point. click a point to delete it. answer attempt 1 out of 2 coordinates of a: ( ) coordinates of a: ( ) when a point is reflected over the x - axis, the changes sign.

Explanation:

Step1: Determine coordinates of A

By observing the graph, point A is 4 units to the right of the y - axis and 5 units above the x - axis. So the coordinates of A are $(4,5)$.

Step2: Apply reflection rule

The rule for reflecting a point $(x,y)$ over the x - axis is $(x,-y)$. For point A$(4,5)$, when reflected over the x - axis, the x - coordinate remains the same and the y - coordinate changes sign. So the coordinates of $A'$ are $(4, - 5)$.

Step3: Identify changed coordinate

When a point is reflected over the x - axis, the y - coordinate changes sign.

Answer:

Coordinates of A: $(4,5)$
Coordinates of $A'$: $(4,-5)$
When a point is reflected over the x - axis, the y - coordinate changes sign.