Question

the point q(1, 2) is reflected over the x - axis. what are the coordinates of the resulting point, q?

Explanation:

Step1: Recall reflection over x - axis rule

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 for the reflection of a point \((x,y)\) over the \(x\) - axis is \((x,y)\to(x, - y)\).

Step2: Apply the rule to point \(Q(1,2)\)

For the point \(Q(1,2)\), where \(x = 1\) and \(y=2\). After reflection over the \(x\) - axis, the \(x\) - coordinate is still \(1\), and the \(y\) - coordinate becomes \(- 2\). So the coordinates of the reflected point \(Q'\) are \((1,-2)\).

Answer:

\((1, - 2)\)