KeevaU528490 KeevaU528490
  • 31-10-2022
  • Mathematics
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draw the following triangle after a 90-degree counterclockwise rotation about the origin

draw the following triangle after a 90degree counterclockwise rotation about the origin class=

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LaceeQ406353 LaceeQ406353
  • 31-10-2022

The rule for a 90 counterclockwise rotation is

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

From the given picture, we can see that the triangle has vertices at

[tex]\begin{gathered} (-3,-2) \\ (-5,-4) \\ (-1,-5) \end{gathered}[/tex]

after applying the rule from above, we get

[tex]\begin{gathered} (-3,-2)\longrightarrow(2,-3) \\ (-5,-4)\longrightarrow(4,-5) \\ (-1,-5)\longrightarrow(5,-1) \end{gathered}[/tex]

Then, the triangle will be

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