Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the point b(5, 2) is reflected over the x-axis. what are the coordinate…

Question

the point b(5, 2) is reflected over the x-axis. what are the coordinates of the resulting point, b? b(box, box) submit

Explanation:

Step1: Recall the reflection rule over the x - axis

When a point \((x,y)\) is reflected over the \(x\) - axis, the \(x\) - coordinate remains the same, and the \(y\) - coordinate changes its sign. The formula is \((x,y)\to(x, - y)\).

Step2: Apply the rule to the given point

For the point \(B(5,2)\), here \(x = 5\) and \(y=2\). After reflection over the \(x\) - axis, the \(x\) - coordinate is still \(5\), and the \(y\) - coordinate becomes \(-2\).

Answer:

\((5,-2)\)