Question

1. if you reflect point b(2, 4) across y = x, what do you get? b(2, -4) b(-2, 4) b(4, 2) b(2, 4)

Explanation:

Step1: Recall the reflection rule

When reflecting a point \((x,y)\) across the line \(y = x\), the rule is \((x,y)\to(y,x)\).

Step2: Apply the rule to point \(B(2,4)\)

Here \(x = 2\) and \(y=4\). Using the rule \((x,y)\to(y,x)\), we substitute \(x\) with \(y\) and \(y\) with \(x\). So the new \(x -\) coordinate is \(4\) and the new \(y -\) coordinate is \(2\).

Answer:

C. \(B'(4,2)\)