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Rotations on the Coordinate Plane Flashcards

10 Questions

100 Views

Rotations on the Coordinate Plane Flashcards

Created by

@QuietRubidium

Questions and Answers

What is (x,y) rotated to when it undergoes a 90° CCW angle rotation around the origin?

(-x,-y)

(x,y)

(y,-x)

(-y,x) (correct)

What is (x,y) rotated to when it undergoes a 90° CW angle rotation around the origin?

(y,-x) (correct)

(-x,-y)

(x,y)

(-y,x)

What is (x,y) rotated to when it undergoes a 180° rotation around the origin?

(-x,-y) (correct)

(-y,x)

(x,y)

(y,-x)

What is (4,-6) rotated 180 degrees?

(-4,6) Signup and view all the answers

Rotate (4,-6) 270 degrees clockwise.

(6,4) Signup and view all the answers

What does not change when you rotate a point, line, or figure?

Shape or size Signup and view all the answers

Rotating 180 degrees is the same as reflecting over what?

both the x and y axis Signup and view all the answers

Rotating (4,-6) 90 degrees clockwise puts the point where?

(-6,-4) Signup and view all the answers

How many 90 degree turns would 540 degrees be?

6 Signup and view all the answers

180 degree rotation about the origin results in ___.

(-x,-y) Signup and view all the answers

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.