orWatch a videoThe point B(–1,–5) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, B'?
Question
orWatch a videoThe point B(–1,–5) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, B'?
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:
- Start with the original coordinates of point B, which are (-1, -5).
- Apply the rotation rule. Replace x with -y and y with x. So, x becomes -(-5) and y becomes -1.
- 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).
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