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Figure ABCDE with the coordinates A(-1, 4) B(2, 2) C(5, 2) D(4, 1) E(-1, 0) is reflected in the x-axis. Determine the coordinates of each image.(Picture down below)

Figure ABCDE with the coordinates A(-1, 4) B(2, 2) C(5, 2) D(4, 1) E(-1, 0) is reflected-example-1

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Step 1. We are given the coordinates of a figure ABCDE, and asked to determine the coordinates of the image A'B'C'D'E'.

The given coordinates are:


\begin{gathered} A(-1,4) \\ B(2,2) \\ C(5,2) \\ D(4,1) \\ E(-1,0) \end{gathered}

These points are shown in graph B:

Step 2. Now that we know that graph B represents the transformation, let's find the coordinates of the image points:

The points are:

A'(-1,-4)

B'(2,-2)

C'(5,-2)

D'(4,-1)

E'(-1,0)

Step 3. Completing the table of values:

Answer:

Figure ABCDE with the coordinates A(-1, 4) B(2, 2) C(5, 2) D(4, 1) E(-1, 0) is reflected-example-1
Figure ABCDE with the coordinates A(-1, 4) B(2, 2) C(5, 2) D(4, 1) E(-1, 0) is reflected-example-2
Figure ABCDE with the coordinates A(-1, 4) B(2, 2) C(5, 2) D(4, 1) E(-1, 0) is reflected-example-3
Figure ABCDE with the coordinates A(-1, 4) B(2, 2) C(5, 2) D(4, 1) E(-1, 0) is reflected-example-4
User LucaP
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