IshakP316643 IshakP316643
  • 25-10-2022
  • Mathematics
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Triangle RST is rotated 90° counterclockwise about the origin. The result is triangle R^ prime S^ prime T^ * ', as shown below.

Triangle RST is rotated 90 counterclockwise about the origin The result is triangle R prime S prime T as shown below class=

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PaylinL602977 PaylinL602977
  • 25-10-2022

a.

From the given figure, showing ΔRST and the image ΔR'S'T', the coordinates after the rotation from the original coordinates are:

[tex]\begin{gathered} R(-5,3)\to R^{\prime}(-3,-5) \\ S(-1,1)\to(-1,-1) \\ T(-8,-4)\to(4,-8) \end{gathered}[/tex]

b.

The general rule that describes the rotation mapping ΔRST to ΔR'S'T' is:

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

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