Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

Define rotation in geometry.

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is translation in geometry?

Back

Translation is a transformation that slides a shape from one position to another without changing its size, shape, or orientation.

Front

What does it mean to reflect over the x-axis?

Back

To reflect over the x-axis means to flip a shape across the x-axis, changing the sign of the y-coordinates of the points.

Front

What does it mean to reflect over the y-axis?

Back

To reflect over the y-axis means to flip a shape across the y-axis, changing the sign of the x-coordinates of the points.

Front

What is a 180-degree rotation?

Back

A 180-degree rotation turns a shape halfway around a point, resulting in a shape that is upside down.

Front

What is the effect of a 90-degree clockwise rotation?

Back

A 90-degree clockwise rotation turns a shape 90 degrees to the right around a fixed point.

Front

What is the effect of a 90-degree counterclockwise rotation?

Back

A 90-degree counterclockwise rotation turns a shape 90 degrees to the left around a fixed point.

Front

What is a sequence of transformations?

Back

A sequence of transformations is a series of two or more transformations applied one after the other to a shape.