Question

triangle abc was reflected over the x - axis. where will point a be located?

Explanation:

Step1: Find the coordinate of point A

From the graph, point \(A\) has coordinates \((-2, -1)\).

Step2: Apply the reflection rule over the \(x\)-axis

The rule for reflecting a point \((x,y)\) over the \(x\)-axis is \((x,-y)\).
For point \(A(-2, -1)\), after reflection over the \(x\)-axis, the \(x\)-coordinate remains the same (\(x=-2\)), and the \(y\)-coordinate changes its sign. So, \(y = -(-1)=1\).

Answer:

The coordinates of point \(A'\) are \((-2,1)\).