Respuesta :

Solution

Given a triangle DEF of the following vertices

[tex]\begin{gathered} D(-5,2) \\ E(-3,2) \\ F(-1,9) \end{gathered}[/tex]

To find the vertices of the triangle after a 180 degrees rotation clockwise around the origin, we apply the rule below

[tex](x,y)\rightarrow(-x,-y)[/tex]

Hence, the vertices of the triangle after a 180 degrees rotation clockwise around the origin will be

[tex]\begin{gathered} D(-5,2)\rightarrow D^{\prime}(5,-2) \\ E(-3,2)\rightarrow E^{\prime}(3,-2) \\ F(-1,9)\rightarrow F^{\prime}(1,-9) \end{gathered}[/tex]

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