ROTATIONS ABOUT ANY POINT

Flashcard
•
Mathematics
•
11th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a rotation in geometry?
Back
A rotation in geometry 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 does a 90° clockwise rotation do to a point (x, y)?
Back
A 90° clockwise rotation transforms the point (x, y) to (y, -x).
3.
FLASHCARD QUESTION
Front
What does a 90° anticlockwise rotation do to a point (x, y)?
Back
A 90° anticlockwise rotation transforms the point (x, y) to (-y, x).
4.
FLASHCARD QUESTION
Front
How do you determine the new coordinates after a rotation about a point (h, k)?
Back
To find the new coordinates after rotation about a point (h, k), translate the point to the origin, apply the rotation, and then translate back.
5.
FLASHCARD QUESTION
Front
What is the effect of a 180° rotation on a point (x, y)?
Back
A 180° rotation transforms the point (x, y) to (-x, -y).
6.
FLASHCARD QUESTION
Front
What is the formula for a 270° clockwise rotation?
Back
A 270° clockwise rotation transforms the point (x, y) to (-y, x).
7.
FLASHCARD QUESTION
Front
What is the formula for a 270° anticlockwise rotation?
Back
A 270° anticlockwise rotation transforms the point (x, y) to (y, -x).
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