Suppose Upper DeltaPQR is rotated 90degrees about the​ origin, (0,0). Find the coordinates of Upper P prime​, Upper Q prime​, and Upper R prime. Then sketch Upper Delta Upper P prime Upper Q prime Upper R prime.

-8
-4
4
8
-8
-4
4
8
x
y
Upper PUpper QUpper R

x y graph
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Part 1
The coordinates of Upper P prime are
  
enter your response here. ​(Type an ordered​ pair.)

1 answer

To find the coordinates of the vertices of triangle \( \Delta PQR \) after rotating it 90 degrees counterclockwise about the origin, we can use the following transformation rule:

If a point has coordinates \( (x, y) \), then after a 90-degree counterclockwise rotation about the origin, the new coordinates \( (x', y') \) will be given by: \[ (x', y') = (-y, x) \]

Please provide the original coordinates of points \( P \), \( Q \), and \( R \) so that we can perform the rotation and find \( P' \), \( Q' \), and \( R' \). Feel free to share a list of these coordinates.

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