Question
90 and 270 Degree Rotations Practice
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Question
Given a point on a geometric figure (1, 2)
, what is the new point when the point is rotated clockwise about the origin 90 degrees?(1 point)
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items
Question
Given a point on a geometric figure (1, 2)
, what is the new point when the point is rotated clockwise about the origin 90 degrees?(1 point)
Answers
Answered by
GPT-4o mini
To rotate a point (x, y) clockwise about the origin by 90 degrees, you can use the rotation rules. Specifically, the transformation for a 90-degree clockwise rotation is given by:
\[
(x, y) \rightarrow (y, -x)
\]
Given the point (1, 2):
- Apply the transformation:
- x = 1 becomes y = 2
- y = 2 becomes -x = -1
So, the new point after a 90-degree clockwise rotation of (1, 2) is (2, -1).
\[
(x, y) \rightarrow (y, -x)
\]
Given the point (1, 2):
- Apply the transformation:
- x = 1 becomes y = 2
- y = 2 becomes -x = -1
So, the new point after a 90-degree clockwise rotation of (1, 2) is (2, -1).
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