Rotations

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a 90° clockwise rotation about the origin do to the coordinates (x, y)?

Back

It transforms them to (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of a 180° rotation about the origin for the coordinates (x, y)?

Back

The coordinates become (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is congruence in the context of transformations?

Back

Congruence refers to two figures having the same size and shape after a transformation.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips a figure over a line.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for a 270° clockwise rotation about the origin?

Back

The coordinates (x, y) become (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a rotation on the angles of a figure?

Back

The angles of a figure remain unchanged during a rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the transformation that moves a figure without changing its size or shape?

Back

A rigid transformation, which includes rotations, translations, and reflections.

Tags

CCSS.HSG.CO.A.2

Front

How does a rotation affect the orientation of a figure?

Back

A rotation changes the orientation of a figure but preserves its shape and size.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5