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Answer :

Answer::

[tex]\begin{gathered} W^{\prime}(11,-9) \\ X^{\prime}(11,-12) \\ Y^{\prime}(6,-12) \\ Z^{\prime}(6,-9)​ \end{gathered}[/tex]

Explanation:

If the point (x,y) is translated 7 units down and 4 units right, the coordinates of its image point are:

[tex](x,y)\to(x+4,y-7)[/tex]

Thus, the image point of rectangle WXYZ are:

[tex]\begin{gathered} W\mleft(7,-2\mright)\to W^{\prime}\mleft(7+4,-2-7\mright)=W^{\prime}(11,-9) \\ X\mleft(7,-5\mright)\to X^{\prime}\mleft(7+4,-5-7\mright)=X^{\prime}(11,-12) \\ Y(2,-5)\to Y^{\prime}(2+4,-5-7)=Y^{\prime}(6,-12) \\ Z\mleft(2,-2\mright)​\to Z^{\prime}\mleft(2+4,-2-7\mright)​=Z^{\prime}(6,-9)​ \end{gathered}[/tex]

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