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andre [41]
1 year ago
14

Given:• A(3,-2)What are the coordinates of A' after a reflection about the line y = 1?0 (-1, -2)(3, 4)0 (-1,2)0 (-1,4)

Mathematics
1 answer:
Julli [10]1 year ago
4 0

The line y=1 is a horizontal line paralel to the x axis. This means that a reflection about it can't change the value of the x coordinate:

A_x=3=A^{\prime}_x

Regarding the y coordinate, in A we have that:

\begin{gathered} A_y=-2 \\ y-A_y=1-(-2)=3 \end{gathered}

Since A' is the reflection of A about line y=1 then we have that:

\begin{gathered} y-A^{\prime}_y=-(y-A^{}_y))=-3 \\ y-A^{\prime}_y=1-A^{\prime}_y=-3 \\ A^{\prime}_y=1+3=4 \end{gathered}

Then the coordinates of point A' are (3,4) and the correct answer is the second one.

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