Identifying 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

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

What is a translation?

Back

A translation moves a shape from one location to another without changing its size, shape, or orientation.

Front

What is a rotation?

Back

A rotation turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is a reflection?

Back

A reflection flips a shape over a line, creating a mirror image of the original shape.

Front

What is a dilation?

Back

A dilation resizes a shape by a scale factor, either enlarging or reducing it while maintaining its proportions.

Front

What does it mean for a transformation to be clockwise?

Back

A clockwise transformation rotates a shape in the direction of the hands of a clock.

Front

What does it mean for a transformation to be counterclockwise?

Back

A counterclockwise transformation rotates a shape in the opposite direction of the hands of a clock.

Front

How do you identify a reflection across the x-axis?

Back

In a reflection across the x-axis, the y-coordinates of the points change sign, while the x-coordinates remain the same.

Front

How do you identify a reflection across the y-axis?

Back

In a reflection across the y-axis, the x-coordinates of the points change sign, while the y-coordinates remain the same.