Rotations

Front

What is a rotation in geometry?

Back

A rotation is a circular movement of a figure around a fixed point, known as the center of rotation.

Front

What does it mean to rotate a figure 90 degrees clockwise?

Back

To rotate a figure 90 degrees clockwise means to turn it a quarter turn to the right around the center of rotation.

Front

What is the center of rotation?

Back

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

Front

How do you determine the new coordinates of a point after a 180-degree rotation around the origin?

Back

To find the new coordinates after a 180-degree rotation, change the signs of both the x and y coordinates.

Front

What are the new coordinates of the point (2, 3) after a 90-degree counterclockwise rotation around the origin?

Back

The new coordinates are (-3, 2).

Front

What is the result of rotating the point (4, -5) 270 degrees clockwise around the origin?

Back

The new coordinates are (-5, -4).

Front

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

Back

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

Front

If triangle A is rotated 180 degrees, how does its orientation change?

Back

The triangle will be flipped to the opposite orientation.

Front

What is the new position of the point (-1, 2) after a 90-degree clockwise rotation?

Back

The new coordinates are (2, 1).

Front

How do you visualize a 270-degree counterclockwise rotation?

Back

Visualize turning the figure three-quarters of a turn to the left around the center of rotation.