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 180-degree rotation around the origin?

Back

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

Front

What is the result of rotating the point (2, 3) 90 degrees clockwise around the origin?

Back

The new coordinates will be (3, -2).

Front

What is the result of rotating the point (-1, 4) 270 degrees clockwise around the origin?

Back

The new coordinates will be (4, 1).

Front

How do you determine the new position of a triangle after a rotation?

Back

To determine the new position of a triangle after a rotation, apply the rotation rules to each vertex of the triangle.

Front

What is the effect of a 90-degree clockwise rotation on the coordinates (x, y)?

Back

The coordinates (x, y) become (y, -x) after a 90-degree clockwise rotation.

Front

What is the effect of a 270-degree clockwise rotation on the coordinates (x, y)?

Back

The coordinates (x, y) become (-y, x) after a 270-degree clockwise rotation.

Front

What happens to the coordinates of a point after a 180-degree counterclockwise rotation?

Back

The coordinates (x, y) become (-x, -y) after a 180-degree counterclockwise rotation.

Front

If Triangle A is rotated 90 degrees clockwise, how do you find the new coordinates of its vertices?

Back

Apply the 90-degree clockwise rotation rule to each vertex: (x, y) becomes (y, -x).

Front

What is the center of rotation?

Back

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