Question

point p has coordinates (-2.5, 3). point q is a reflection of point p across the x - axis. what are the coordinates of point q? which quadrant is it in? draw a graph to show how you know.

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the $x - axis$, the $x$-coordinate remains the same and the $y$-coordinate changes its sign. Given point $P(-2.5,3)$, for point $Q$ (reflection of $P$ across $x$-axis), the $x$-coordinate of $Q$ is $x=-2.5$ and the $y$-coordinate of $Q$ is $y = - 3$. So the coordinates of $Q$ are $(-2.5,-3)$.

Step2: Determine quadrant

In the coordinate - plane, points with a negative $x$-coordinate and a negative $y$-coordinate lie in the third quadrant. Since $x=-2.5<0$ and $y = - 3<0$, point $Q$ is in the third quadrant.

Answer:

The coordinates of point $Q$ are $(-2.5,-3)$ and it is in the third quadrant.