2.3 Rotations

Front

What is a rotation in geometry?

Back

A rotation 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 90-degree counterclockwise rotation about the origin?

Back

If a point (x, y) is rotated 90 degrees counterclockwise about the origin, its new coordinates will be (-y, x).

Front

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

Back

If a point (x, y) is rotated 180 degrees about the origin, its new coordinates will be (-x, -y).

Front

How do you determine the image of a triangle after a rotation?

Back

To find the image of a triangle after a rotation, apply the rotation rules to each vertex of the triangle and plot the new coordinates.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.

Front

What happens to the orientation of a figure after a 180-degree rotation?

Back

The orientation of the figure is reversed after a 180-degree rotation.

Front

If point (5, 2) is rotated 90 degrees counterclockwise about the origin, what are the new coordinates?

Back

The new coordinates will be (-2, 5).

Front

What is the effect of a 90-degree clockwise rotation on the coordinates of a point?

Back

If a point (x, y) is rotated 90 degrees clockwise about the origin, its new coordinates will be (y, -x).

Front

How do you rotate a point 180 degrees about the origin?

Back

To rotate a point (x, y) 180 degrees about the origin, change both the x and y coordinates to their opposites: (-x, -y).

Front

What is the image of point (-3, -4) after a 180-degree rotation about the origin?

Back

The image will be (3, 4).