60.8k views
1 vote
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-example-1

1 Answer

3 votes

a.

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


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

b.

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


(x,y)\to(-y,x)

User Solorad
by
7.5k points