Lesson 1.7 Rotations on the Coordinate Plane

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Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a rotation in the coordinate plane?
Back
A rotation in the coordinate plane is a transformation that turns a figure around a fixed point, known as the center of rotation, by a specified angle in a specified direction.
2.
FLASHCARD QUESTION
Front
What is the center of rotation?
Back
The center of rotation is the fixed point around which a figure is rotated. In many problems, this point is the origin (0,0).
3.
FLASHCARD QUESTION
Front
How do you determine the angle of rotation for a point that remains unchanged?
Back
If a point remains unchanged after a rotation, it indicates a rotation of 360 degrees or a multiple of 360 degrees.
4.
FLASHCARD QUESTION
Front
What are the coordinates of a point (x, y) after a 90-degree clockwise rotation about the origin?
Back
The new coordinates will be (y, -x).
5.
FLASHCARD QUESTION
Front
What are the coordinates of a point (x, y) after a 90-degree counterclockwise rotation about the origin?
Back
The new coordinates will be (-y, x).
6.
FLASHCARD QUESTION
Front
What are the coordinates of a point (x, y) after a 180-degree rotation about the origin?
Back
The new coordinates will be (-x, -y).
7.
FLASHCARD QUESTION
Front
If point A(2, 3) is rotated 180 degrees about the origin, what are the coordinates of A'?
Back
A' will be (-2, -3).
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