Question

△abc has vertices a(2, 2), b(2, 5), and c(4, 2). name the coordinates of the image of point c after each transformation.

1. reflect △abc in the x - axis.

c(□,□)

Explanation:

Step1: Recall the rule for reflection over the x - axis

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

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

For point \(C\) with \(x = 4\) and \(y=2\), after reflection over the \(x\) - axis, the \(x\) - coordinate remains the same, and the \(y\) - coordinate changes its sign. So the new \(y\) - coordinate is \(-2\).

Answer:

\((4,-2)\)