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Create triangle A’B’C by reflecting triangle ABC over the y-axis on the coordinate plane. What are the new coordinates of the vertices?

Create triangle ABC by reflecting triangle ABC over the yaxis on the coordinate plane What are the new coordinates of the vertices class=

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danielmaduroh

Answer:

Step-by-step explanation:

When talking about reflection, we usually mean reflecting across a line, or axis. Reflecting a shape means looking at the mirror image on the other side of the axis. Consider the point (x,y), if you reflect this point across the y-axis you should multiply the x-coordinate by -1, so you get:

[tex](x,y)\rightarrow(-x,y)[/tex]

For triangle ABC we have:

[tex]A(-4,2) \\ \\ B(-1,3) \\ \\ C(-1,-4)[/tex]

Therefore, the reflecting points are:

[tex]A'(4,2) \\ \\ B(1,3) \\ \\ C(1,-4)[/tex]

Both the original triangle and the reflected one are shown below.

Ver imagen danielmaduroh

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