Geometry Rotations About the Origin

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.

Front

What are the coordinates of a point after a 180-degree rotation about the origin?

Back

The coordinates of a point (x, y) after a 180-degree rotation about the origin become (-x, -y).

Front

If point L is at (0, -8), what are the coordinates of L' after a 180-degree counterclockwise rotation?

Back

(0, 8)

Front

What happens to the coordinates of a point when it is rotated 90 degrees counterclockwise about the origin?

Back

The coordinates (x, y) become (-y, x).

Front

If point A is at (-3, 4), what are the coordinates of A'' after a 180-degree clockwise rotation followed by a 90-degree counterclockwise rotation?

Back

(4, 3)

Front

What is the result of rotating point B(2, -3) 270 degrees clockwise about the origin?

Back

(3, 2)

Front

What is the effect of a 360-degree rotation on a point?

Back

A 360-degree rotation returns the point to its original position.

Front

How do you determine the direction of rotation in geometry?

Back

Counterclockwise rotation is considered positive, while clockwise rotation is considered negative.

Front

What are the coordinates of point A' if point A(-5, 5) is rotated 180 degrees about the origin?

Back

(-5, -5)

Front

What is the angle of rotation represented by the transformation from red to blue in the provided question?

Back

180 degrees.