Rotations Reflections and Translations

Front

What are the three main types of transformations in geometry?

Back

Translations, reflections, and rotations.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a translation in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a rotation in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How many degrees is a full rotation?

Back

360 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

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

Back

The figure is turned halfway around, resulting in an upside-down orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 90-degree clockwise rotation on a point (x, y)?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 270-degree counterclockwise rotation on a point (x, y)?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean for a figure to be reflected over the y-axis?

Back

The x-coordinates of the points are negated, resulting in a mirror image across the y-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between a translation and a reflection?

Back

A translation moves a figure without changing its orientation, while a reflection flips it over a line.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5