Rotations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle in a specific direction.

Front

What is the angle of rotation for a 90-degree counterclockwise rotation?

Back

A 90-degree counterclockwise rotation turns a figure 90 degrees to the left around the center of rotation.

Front

What is the angle of rotation for a 90-degree clockwise rotation?

Back

A 90-degree clockwise rotation turns a figure 90 degrees to the right around the center of rotation.

Front

What does it mean for a point to be rotated 180 degrees?

Back

Rotating a point 180 degrees means turning it halfway around the center of rotation, resulting in the point being in the opposite direction.

Front

How can you identify a rotation on a coordinate plane?

Back

You can identify a rotation by observing the change in the coordinates of the points and the angle of rotation applied.

Front

What is the center of rotation?

Back

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

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips a figure over a line, creating a mirror image.

Front

If a point (x, y) is rotated 90 degrees counterclockwise, what are the new coordinates?

Back

The new coordinates will be (-y, x).

Front

If a point (x, y) is rotated 90 degrees clockwise, what are the new coordinates?

Back

The new coordinates will be (y, -x).

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, including rotations, reflections, translations, and dilations.