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

Front

How do you rotate a point 90 degrees counterclockwise around the origin?

Back

To rotate a point (x, y) 90 degrees counterclockwise around the origin, the new coordinates become (-y, x).

Front

How do you rotate a point 90 degrees clockwise around the origin?

Back

To rotate a point (x, y) 90 degrees clockwise around the origin, the new coordinates become (y, -x).

Front

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

Back

The image of the point (-3, -4) after a 180-degree rotation around the origin is (3, 4).

Front

What happens to the coordinates of a triangle when it is rotated 90 degrees counterclockwise?

Back

Each vertex of the triangle is transformed according to the rule: (x, y) becomes (-y, x).

Front

What is the result of rotating a point (4, 3) 90 degrees clockwise?

Back

The result of rotating the point (4, 3) 90 degrees clockwise is (3, -4).

Front

If triangle ABC is rotated 180 degrees about the origin, what are the new coordinates of point A if A is at (2, 3)?

Back

The new coordinates of point A after a 180-degree rotation about the origin are (-2, -3).

Front

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

Back

The effect of a 90-degree clockwise rotation on the coordinates (x, y) is to transform them to (y, -x).

Front

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

Back

The effect of a 90-degree counterclockwise rotation on the coordinates (x, y) is to transform them to (-y, x).