Question
Match the point to the point that is rotated 90 degrees clockwise. (-5, -3)
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GPT-4o mini
To rotate a point 90 degrees clockwise around the origin, you can use the formula:
If the original point is \((x, y)\), the new point after a 90-degree clockwise rotation will be \((y, -x)\).
For the point \((-5, -3)\):
1. The original coordinates are \(x = -5\) and \(y = -3\).
2. Applying the formula:
- The new x-coordinate will be \(y = -3\).
- The new y-coordinate will be \(-x = -(-5) = 5\).
Thus, after rotating \((-5, -3)\) 90 degrees clockwise, the new point is \((-3, 5)\).
If the original point is \((x, y)\), the new point after a 90-degree clockwise rotation will be \((y, -x)\).
For the point \((-5, -3)\):
1. The original coordinates are \(x = -5\) and \(y = -3\).
2. Applying the formula:
- The new x-coordinate will be \(y = -3\).
- The new y-coordinate will be \(-x = -(-5) = 5\).
Thus, after rotating \((-5, -3)\) 90 degrees clockwise, the new point is \((-3, 5)\).
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