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orWatch a videoThe point B(–1,–5) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, B'?

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orWatch a videoThe point B(–1,–5) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, B'?

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Solution

To find the coordinates of the point B' after a 90° counterclockwise rotation around the origin, you can use the rule (x, y) -> (-y, x).

Here's how you do it:

  1. Start with the original coordinates of point B, which are (-1, -5).
  2. Apply the rotation rule. Replace x with -y and y with x. So, x becomes -(-5) and y becomes -1.
  3. Simplify the coordinates. -(-5) becomes 5 and -1 remains -1.

So, the coordinates of the point B' after a 90° counterclockwise rotation around the origin are (5, -1).

This problem has been solved

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