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Geometry Transformations Flashcards

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Questions and Answers

What is the transformation of a 90° clockwise rotation for the point (x,y)?

(-y,x)

(x,-y)

(-x,y)

(y,-x) (correct)

What is the transformation of a 90° counterclockwise rotation for the point (x,y)?

(-x,y)

(x,-y)

(y,-x)

(-y,x) (correct)

What is the transformation of a 270° clockwise rotation for the point (x,y)?

(y,-x) (correct)

(-y,x)

(-x,y)

(x,-y)

What is the transformation of a 270° counterclockwise rotation for the point (x,y)?

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

What happens to the coordinates (x,y) when reflected over the y-axis?

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

What happens to the coordinates (x,y) when reflected over the x-axis?

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

What is the transformation for the equation y = x?

(y,x) Signup and view all the answers

What is the transformation for the equation y = -x?

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

What is the transformation for a 180° rotation (clockwise/counterclockwise) for the point (x,y)?

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

Study Notes

Rotations

A 90° clockwise rotation transforms the point (x, y) to (y, -x).
A 90° counterclockwise rotation changes the point (x, y) to (-y, x).
A 270° clockwise rotation results in the same transformation as a 90° counterclockwise rotation: (x, y) to (y, -x).
A 270° counterclockwise rotation results in the same transformation as a 90° clockwise rotation: (x, y) to (-y, x).

Reflections

Reflecting over the y-axis changes the x-coordinate: (x, y) becomes (-x, y).
Reflecting over the x-axis changes the y-coordinate: (x, y) becomes (x, -y).

Line Transformations

The line represented by y = x swaps the coordinates, transforming (x, y) to (y, x).
The line represented by y = -x negates both coordinates, transforming (x, y) to (-y, -x).

180° Rotation

A 180° rotation, whether clockwise or counterclockwise, changes the point (x, y) to (-x, -y).

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Description

Test your knowledge of geometric transformations with this set of flashcards! Each card covers different types of rotations and reflections, providing definitions and transformations for better understanding. Perfect for students looking to reinforce their grasp of these crucial concepts in geometry.