Question

what are the coordinates of the image of vertex d after a reflection across the x - axis? (5,3) (-5,-3) (-3,5) (3,-5)

Explanation:

Step1: Recall the reflection rule

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

Step2: Apply the rule to point \(D\)

Given point \(D(5,-3)\), using the rule \((x,y)\to(x, - y)\) with \(x = 5\) and \(y=-3\). Then \(-y=-(-3)=3\). So the image of \(D(5,-3)\) after reflection across the \(x -\)axis is \((5,3)\).

Answer:

(5, 3)