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Sagot :
Given: The coordinates of a trapezoid as below
[tex]\begin{gathered} A(-4,1) \\ B(-3,2) \\ C(-1,2) \\ D(0,1) \end{gathered}[/tex]To Determine: The final step on the trapezoid after it is reflected over the x-axis and then reflected over the axis
Solution
Please note that a reflection over the x-axis and reflection over the y-axis is different from the last step, which is a reflection over the y-axis
The reflection over the y-axis could either be a rotation of 90^0 clockwise or anticlockwise.
So get the trapezid onto itself after a reflection over the y-axis from a reflection over teh x-axis requires two steps
We have step 1: Reflection over the x-axis, then
Step 2: Reflection over the y-axis
Hence, the final step is reflection over the y-axis
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