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Questions and Answers
What is (x,y) rotated to when it undergoes a 90° CCW angle rotation around the origin?
What is (x,y) rotated to when it undergoes a 90° CCW angle rotation around the origin?
What is (x,y) rotated to when it undergoes a 90° CW angle rotation around the origin?
What is (x,y) rotated to when it undergoes a 90° CW angle rotation around the origin?
What is (x,y) rotated to when it undergoes a 180° rotation around the origin?
What is (x,y) rotated to when it undergoes a 180° rotation around the origin?
What is (4,-6) rotated 180 degrees?
What is (4,-6) rotated 180 degrees?
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Rotate (4,-6) 270 degrees clockwise.
Rotate (4,-6) 270 degrees clockwise.
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What does not change when you rotate a point, line, or figure?
What does not change when you rotate a point, line, or figure?
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Rotating 180 degrees is the same as reflecting over what?
Rotating 180 degrees is the same as reflecting over what?
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Rotating (4,-6) 90 degrees clockwise puts the point where?
Rotating (4,-6) 90 degrees clockwise puts the point where?
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How many 90 degree turns would 540 degrees be?
How many 90 degree turns would 540 degrees be?
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180 degree rotation about the origin results in ___.
180 degree rotation about the origin results in ___.
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Study Notes
Rotations on the Coordinate Plane
- A 90° counterclockwise rotation of point (x,y) transforms it to (-y,x).
- A 90° clockwise rotation of point (x,y) changes it to (y,-x).
- A 180° rotation around the origin changes point (x,y) to (-x,-y).
- The point (4,-6) rotated 180 degrees around the origin results in (-4,6).
- Rotating point (4,-6) 270 degrees clockwise leads to the new position of (6,4).
- The shape or size of a point, line, or figure remains unchanged during rotation.
- A 180° rotation is equivalent to reflecting over both the x-axis and y-axis.
- When (4,-6) is rotated 90 degrees clockwise, it moves to the position (-6,-4).
- A rotation of 540 degrees equals six 90-degree rotations.
- A 180-degree rotation around the origin has the effect of flipping a shape upside down.
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Description
This quiz focuses on understanding rotations of points on the coordinate plane, specifically 90° and 180° rotations around the origin. Flashcards are provided to assist in memorizing transformations and their results. Test your knowledge of these geometric transformations effectively.
