Understanding Rotations and Transformations

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 effect of a 90-degree counterclockwise rotation on a point in quadrant 4?

Back

A point in quadrant 4 will move to quadrant 1 after a 90-degree counterclockwise rotation.

Front

What is the result of rotating the point (3, -5) 270 degrees counterclockwise?

Back

The new point will be (-5, 3).

Front

What do translations, reflections, and rotations have in common?

Back

They all produce congruent figures, meaning the original figure and the transformed figure are identical in shape and size.

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure in a straight line from one position to another without changing its shape or orientation.

Front

What is a reflection in geometry?

Back

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

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but keeps its shape the same, either enlarging or reducing it.

Front

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

Back

A 180-degree rotation turns a figure halfway around the center of rotation, effectively flipping it upside down.

Front

How does a 90-degree clockwise rotation affect the coordinates of a point?

Back

A 90-degree clockwise rotation changes the coordinates (x, y) to (y, -x).

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips it over a line.