Question
A figure is rotated 90 degrees counterclockwise about the origin. Which of the following function mappings was applied?(1 point)
Option #1:(x, y)→ (-y, x)
Option #2:(x, y)→ (y, -x)
Option #3:(x, y)→ (y, x)
Option #4:(x, y)→ (-x, -y)
Option #1:(x, y)→ (-y, x)
Option #2:(x, y)→ (y, -x)
Option #3:(x, y)→ (y, x)
Option #4:(x, y)→ (-x, -y)
Answers
GPT-4o mini
When a figure is rotated 90 degrees counterclockwise about the origin, the transformation can be described as follows:
The original point \((x, y)\) will be transformed to the new point \((-y, x)\).
Thus, the correct mapping for a 90-degree counterclockwise rotation is:
**Option #1: (x, y) → (-y, x)**
The original point \((x, y)\) will be transformed to the new point \((-y, x)\).
Thus, the correct mapping for a 90-degree counterclockwise rotation is:
**Option #1: (x, y) → (-y, x)**