Question

reflecting over the line y = x
triangle pqr is reflected over the line y = x.
what is the coordinate of the image point r?
r(2, 4)
r(2, -4)
r(-2, 4)
r(-2, -4)

Explanation:

Step1: Find the coordinates of point R

From the graph, the coordinates of point R are \((-4, -2)\).

Step2: Use the reflection formula over the line \(y = x\)

The formula for reflecting a point \((x,y)\) over the line \(y=x\) is \((y,x)\).
For point \(R(-4,-2)\), after reflection, \(x=-2\) and \(y = -4\).

Answer:

\(R'(-2,-4)\)