Question

1. given point a at (-2, 3) reflected over the x - axis, what will be the coordinates of a? (-2, 3) (2, -3) (-2, -3) (2, 3)

Explanation:

Step1: Recall the reflection rule over x - axis

When a point \((x,y)\) is reflected over the \(x\) - axis, the rule is \((x,y)\to(x, - y)\).

Step2: Apply the rule to point \(A(-2,3)\)

Here \(x=-2\) and \(y = 3\). Using the rule \((x,y)\to(x,-y)\), we substitute \(x=-2\) and \(y = 3\) into the formula. So the new \(y\) - coordinate is \(-3\) and the \(x\) - coordinate remains \(-2\).

Answer:

\((-2,-3)\) (the third option)