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 specified direction.

Front

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

Back

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

Front

What is the angle of rotation for a 180-degree rotation?

Back

A 180-degree rotation turns a point or figure halfway around the center of rotation, resulting in a point directly opposite its original position.

Front

How do you determine the direction of rotation?

Back

The direction of rotation can be either clockwise (to the right) or counterclockwise (to the left), which is determined by the angle's sign convention.

Front

What is the result of rotating the point (x, y) 90 degrees counterclockwise?

Back

The new coordinates after a 90-degree counterclockwise rotation are (-y, x).

Front

What is the result of rotating the point (x, y) 180 degrees?

Back

The new coordinates after a 180-degree rotation are (-x, -y).

Front

What is the result of rotating the point (x, y) 90 degrees clockwise?

Back

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

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

How can you identify a translation on a graph?

Back

A translation can be identified by observing that all points of the figure move the same distance in a specific direction without changing shape or orientation.