Question

write the coordinates of the vertices after a reflection over the x - axis.

Explanation:

Step1: Recall the reflection rule

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

Step2: Find the original coordinates

From the graph, \(E=(1,-3)\), \(F=(2,-3)\), \(G=(2,-7)\).

Step3: Apply the reflection rule

For point \(E\):
Using the rule \((x,y)\to(x, - y)\), with \(x = 1\) and \(y=-3\), we get \(E'=(1,3)\).
For point \(F\):
Using the rule \((x,y)\to(x, - y)\), with \(x = 2\) and \(y=-3\), we get \(F'=(2,3)\).
For point \(G\):
Using the rule \((x,y)\to(x, - y)\), with \(x = 2\) and \(y = - 7\), we get \(G'=(2,7)\).

Answer:

\(E'=(1,3)\), \(F'=(2,3)\), \(G'=(2,7)\)