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Graph the reflection of rectangle PQRS under a reflection across the given line.

Graph the reflection of rectangle PQRS under a reflection across the given line.-example-1
User CHRIS LEE
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The line graphed is the line:


y=x

A reflection over this line is a special case where each pre-image point (x,y) is transformed as follows:


(x,y)=(y,x)

So, first, le's identify each vertex:


\begin{gathered} P\colon(-2,5) \\ Q\colon(1,2) \\ R\colon(-3,-2) \\ S\colon(-6,1) \end{gathered}

Now, we apply the transformation on each.


\begin{gathered} (x,y)\to(y,x) \\ P\colon(-2,5)\to(5,-2) \\ Q\colon(1,2)\to(2,1) \\ R\colon(-3,-2)\to(-2,-3) \\ S\colon(-6,1)\to(1,-6) \end{gathered}

Now, we plot these image points:

Graph the reflection of rectangle PQRS under a reflection across the given line.-example-1
User Michael Prescott
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