Transformations: Translations, Rotations, and Reflections

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.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What are the three main types of transformations?

Back

The three main types of transformations are translations, rotations, and reflections.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a translation?

Back

A translation is a transformation that slides a figure from one position to another without turning it.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a rotation?

Back

A rotation is a transformation that turns a figure around a fixed point called the center of rotation.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a reflection?

Back

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

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do 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 the same direction.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What happens to the coordinates of a point during a reflection across the x-axis?

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What happens to the coordinates of a point during a reflection across the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the effect of a 90° clockwise rotation on the coordinates (x, y)?

Back

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

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the effect of a 90° counterclockwise rotation on the coordinates (x, y)?

Back

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

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3