Question

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question 21
what are the coordinates of point (2, -3) after it is reflected over the x - axis?
(-2, 3)
(2, 3)
(-2, -3)
(2, -3)

Explanation:

Step1: Recall reflection over x - axis rule

The rule for reflecting a point \((x,y)\) over the \(x\) - axis is that the \(x\) - coordinate remains the same and the \(y\) - coordinate changes its sign. Mathematically, if we have a point \((x,y)\), after reflection over the \(x\) - axis, the new point is \((x, - y)\).

Step2: Apply the rule to the given point

We are given the point \((2,-3)\). Here, \(x = 2\) and \(y=-3\). Using the reflection rule over the \(x\) - axis, the new \(x\) - coordinate is still \(2\), and the new \(y\) - coordinate is \(-(-3)=3\). So the reflected point is \((2,3)\).

Answer:

\((2, 3)\) (corresponding to the option with text "(2, 3)")