QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
"Parallelogram ABCD is rotated 90° counterclockwise. What rule shows the input and output of the rotation, and what is the new coordinate of A′?
(x, y) → (−x, −y); A′ is at (5, −1)
(x, y) → (−y, x); A′ is at (−1, −5)
(x, y) → (y, −x); A′ is at (1, 5)
(x, y) → (x, −y); A′ is at (−5, −1)"
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Answer
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Step 1: Identify the correct rotation rule.
The rotation rule is given by (x, y) → (new x, new y). In this problem, we need to find which of the four options provided is the correct rule for a 90° counterclockwise rotation.
Step 2: Understand the transformation of coordinates in a 90° counterclockwise rotation.
In a 90° counterclockwise rotation, the x-coordinate becomes the negative of the original y-coordinate, and the y-coordinate becomes the negative of the original x-coordinate. This can be written as: new x = -y new y = -x
Final Answer
The correct rotation rule for a 90° counterclockwise rotation is (x, y) → (−y, x), and the new coordinate of A′ is (1, 5).
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