BellissaW117074 BellissaW117074
  • 25-10-2022
  • Mathematics
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rectangle wxyz with vertices w(-3,-4) x(0,-5) y(-2,-11) z(-5,-10) 180° rotation about n(2,-3)

rectangle wxyz with vertices w34 x05 y211 z510 180 rotation about n23 class=

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LuraR492171 LuraR492171
  • 25-10-2022
[tex]\begin{gathered} W(-3,-4) \\ X(0,-5) \\ Y(-2,-11) \\ Z(-5,-10) \end{gathered}[/tex]

180 degree rotation follows the rule below

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

The rotation is about N(2, -3)

[tex]\begin{gathered} W(-3,-4)\rightarrow W(-5,-1) \\ X(0,-5)\rightarrow X(-2,-2) \\ Y(-2,-11)\rightarrow Y(-4,-8) \\ Z(-5,-10)\rightarrow Z(-7,-7) \end{gathered}[/tex]

rotation of 180 degree will be

[tex]\begin{gathered} W^{\prime}(5,1) \\ X^{\prime}(2,2) \\ Y^{\prime}(4,8) \\ Z^{\prime}(7,7) \end{gathered}[/tex]

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