Question

graph the image of trapezoid efgh after a reflection over the y - axis.

Explanation:

Step1: Find the coordinates of original points

Assume \(E(-9,-9)\), \(F(-9,-8)\), \(H(-1,-9)\), \(G(-1,-4)\)

Step2: Apply the reflection rule over \(y\) - axis

The rule for reflection over the \(y\) - axis is \((x,y)\to(-x,y)\)
For point \(E(-9,-9)\): \((-9,-9)\to(9,-9)\)
For point \(F(-9,-8)\): \((-9,-8)\to(9,-8)\)
For point \(H(-1,-9)\): \((-1,-9)\to(1,-9)\)
For point \(G(-1,-4)\): \((-1,-4)\to(1,-4)\)

Step3: Plot the new points

Plot \(E'(9,-9)\), \(F'(9,-8)\), \(H'(1,-9)\), \(G'(1,-4)\) and connect them to form the reflected trapezoid.

Answer:

Plot the points \((9,-9)\), \((9,-8)\), \((1,-9)\), \((1,-4)\) and connect them.