Question

if this triangle were reflected about the x - axis, what would be the coordinates of point p? (5,3) (3, - 5) (3, - 1) (-1, - 5)

Explanation:

Step1: Determine the original coordinates of point P

From the graph, the original coordinates of point \(P\) are \((3,5)\).

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

The rule for reflecting a point \((x,y)\) about the \(x\) - axis is \((x,-y)\).
For the point \(P(3,5)\), when we reflect it about the \(x\) - axis, we keep the \(x\) - coordinate the same and change the sign of the \(y\) - coordinate.
So the new \(y\) - coordinate is \(- 5\) and the \(x\) - coordinate remains \(3\).

Answer:

\((3,-5)\)