SOLUTION: The vertices of ⌂ABC are A(-3,4) B(-1,3), C(3,-2). The triangle is rotated 90 degrees counterclockwise. Use the rotation matrix [0 -1][1 0] (please note that [1 0] is directl

Algebra ->  Algebra  -> Angles -> SOLUTION: The vertices of ⌂ABC are A(-3,4) B(-1,3), C(3,-2). The triangle is rotated 90 degrees counterclockwise. Use the rotation matrix [0 -1][1 0] (please note that [1 0] is directl      Log On

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Question 98366: The vertices of ⌂ABC are A(-3,4) B(-1,3), C(3,-2). The triangle is rotated 90 degrees counterclockwise. Use the rotation matrix [0 -1][1 0] (please note that [1 0] is directly under [0 -1] but I do not have large enough brackets or the know-how to place it like that)to find the coordinates of C'. I hope this made sense. Thank you for helping me.

Answer by stanbon(57219) About Me  (Show Source):
You can put this solution on YOUR website!
C(3,-2). The triangle is rotated 90 degrees counterclockwise. Use the rotation matrix [0 -1][1 0] (please note that [1 0] is directly under [0 -1] but I do not have large enough brackets or the know-how to place it like that)to find the coordinates of C'.
-----------
[0..-1]
[1...0]
times
[3]
[-2]
C' =
[2]
[3]
-------------
You can check this out visually by plotting (3,-2),
sketching a circle thru that point with center at
the origin, then extimate a counter-clockwise
rotation of 90 degrees. Do you end up at (2,-3)?
-----------------
cheers,
Stan H.