Question

### Gauthmathier9531

Grade 9 · 2020-10-12

What is the image of the point \begin{align*}A(-5,12)\end{align*} after reflecting it across the line \begin{align*}y = x\end{align*} ?

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Answer

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### Gauthmathier0131

Grade 9 · 2020-10-12

Answer

A'(12,-5)

Explanation

Given that,

The point A(-5, 12) is reflected over the line segment 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) \\A(-5, 12) & \rightarrow A^{\prime}(12, -5)}\end{align*}

The answer is A^{\prime}(12, -5) .

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