Question

### Gauthmathier9863

Grade 11 · 2020-10-12

The following point were reflected about the line \begin{align*} y=x\end{align*} , what would be the coordinates of the reflected point?

(3,1)

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Answer

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### Gauthmathier0115

Grade 11 · 2020-10-12

Answer

(1,3)

Explanation

Given that,

The point (3, 1) is reflected over the y = x .

If (x, y) is reflected over the line y = x, then the image is (y, x) .

\begin{align*}\eqalign{

(x, y) & \rightarrow (y, x) \\

(3, 1) & \rightarrow (1, 3)

}\end{align*}

The answer is (1, 3) .

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