Question

24
the coordinates of point b are (3, 4). determine the coordinates of b after a reflection in the line y = x. * (10 points)
(4, -3)
(4, 3)
(-4, -3)
(-4, 3)

Explanation:

Step1: Recall the reflection rule

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

Step2: Apply the rule to point \(B(3,4)\)

Here \(x = 3\) and \(y=4\). Using the rule \((x,y)\to(y,x)\), we get \((3,4)\to(4,3)\).

Answer:

B. \((4,3)\)