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 does it mean to rotate a figure 90 degrees clockwise?

Back

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

Front

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

Back

To rotate a figure 90 degrees counterclockwise means to turn the figure 90 degrees to the left around the center of rotation.

Front

What is the effect of rotating a figure 180 degrees?

Back

Rotating a figure 180 degrees results in the figure being turned upside down, effectively reversing its orientation.

Front

What is the center of rotation?

Back

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

Front

True or False: A rotation is a rigid motion.

Back

True. A rotation is a rigid motion, meaning it preserves the shape and size of the figure.

Front

What happens to the coordinates of a point (x, y) when it is rotated 90 degrees clockwise about the origin?

Back

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

Front

What happens to the coordinates of a point (x, y) when it is rotated 90 degrees counterclockwise about the origin?

Back

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

Front

What happens to the coordinates of a point (x, y) when it is rotated 180 degrees about the origin?

Back

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

Front

If Triangle A is rotated 90 degrees clockwise and ends up at Triangle Z, what can we say about Triangle Z?

Back

Triangle Z is the image of Triangle A after the rotation, and it is congruent to Triangle A.