Respuesta :

Answer:

When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.

[tex]A(x,y)\Rightarrow A^{\prime}(-x,-y)[/tex]

The coordinates are given below as

[tex]S(-1,3),T(-4,3),U(-3,1)[/tex]

By applying the rule, we will have

[tex]\begin{gathered} S(-1,3)\Rightarrow S^{\prime}(-(-1),(-3)\Rightarrow S^{\prime}(1,-3) \\ T(-4,3)\Rightarrow T^{\prime}(-(-4),-3)\Rightarrow T^{\prime}(4,-3) \\ U(-3,1)\Rightarrow U^{\prime}(-(-3),-1)\Rightarrow U^{\prime}(3,-1) \end{gathered}[/tex]

By graphing the triangle, we Will have

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