Question

point a of a triangle abc is at (3,2). if triangle abc is reflected about the x - axis, what are the new coordinates of a? a (-3,-2) b (3,-2) c (-2,-3) d (-3,2)

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. So, if a point has coordinates \((x,y)\), after reflection over the \(x\) - axis, the new coordinates are \((x, - y)\).

Step2: Apply the rule to point A

Point \(A\) has coordinates \((3,2)\). Using the reflection rule over the \(x\) - axis, the \(x\) - coordinate \(x = 3\) remains unchanged, and the \(y\) - coordinate \(y = 2\) changes to \(-y=- 2\). So the new coordinates of \(A\) after reflection over the \(x\) - axis are \((3,-2)\).

Answer:

B. (3, - 2)