Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Trapezoid ABCD is shown on the coordinate plane.Trapezoid formed by ordered pairs A at negative 4 comma 1, B at negative 3 comma 2, C at negative 1 comma 2, D at 0 comma 1.If trapezoid ABCD is reflected over the x-axis and then reflected over the y-axis, which final step would carry the trapezoid onto itself?Group of answer choicesRotate 180°Rotate 90° clockwiseReflect over the x-axisReflect over the y-axis

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