Question

point p is reflected across the line ( x = y ). what are the coordinates of the new point?
( (0,-3) )
( (0,3) )
( (-3,0) )
( (3,0) )

Explanation:

Step1: Recall the reflection rule

When a point \((x,y)\) is reflected across the line \(x = y\), the coordinates change to \((y,x)\).

Step2: Apply the rule to point \(P(0,3)\)

Here \(x = 0\) and \(y=3\). After reflection across \(x = y\), the new \(x\)-coordinate is \(3\) and the new \(y\)-coordinate is \(0\).

Answer:

\((3,0)\)