Question

1. c is the image of the point c after a reflection. c(7,3)→c(-7,3) over which axis was the point c reflected? (2 points)

Explanation:

Step1: Recall the reflection rule

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

Step2: Analyze the given points

We have \(C(7,3)\) and \(C'(-7,3)\). Comparing the \(x\) - coordinates: \(x = 7\) for \(C\) and \(x=-7\) for \(C'\), while the \(y\) - coordinate \(y = 3\) remains the same.
Using the reflection rule \((x,y)\to(-x,y)\) (reflection over the \(y -\)axis).

Answer:

The point \(C\) was reflected over the \(y -\)axis.