QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
Describe the rotation as a (a) counterclockwise rotation and (b) clockwise rotation.
a. 90 degrees ↑ counterclockwise rotation about the origin
b. 270 degrees ↑ clockwise rotation about the origin
Write a rule for the rotation.
(x, y) \rightarrow (\square, \square)
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Step 1I'll solve this step by step using the precise LaTeX formatting guidelines:
Step 2: Counterclockwise 90 -degree Rotation
\begin{cases}
For a 90 -degree counterclockwise rotation about the origin, the general transformation rule is: x' = -y \ y' = x \end{cases} This means: - The x-coordinate becomes the negative of the original y-coordinate - The y-coordinate becomes the original x-coordinate
Final Answer
- Counterclockwise 90 -degree rotation: (x, y) \rightarrow (-y, x) - Clockwise 270 -degree rotation: (x, y) \rightarrow (-y, x) Note: Both rotations result in the same coordinate transformation due to the symmetry of 90 -degree rotations.
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