Rotations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle in a specified direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does counterclockwise mean in terms of rotation?

Back

Counterclockwise refers to the direction of rotation that is opposite to the direction of the hands of a clock.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the algebraic representation for a 90° counterclockwise rotation?

Back

(x, y) ----> (-y, x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the algebraic representation for a 180° rotation?

Back

(x, y) ----> (-x, -y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the algebraic representation for a 90° clockwise rotation?

Back

(x, y) ----> (y, -x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Does a rotation preserve congruence?

Back

Yes, a rotation preserves congruence, meaning the shape and size of the figure remain unchanged.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point (a, b) is rotated 90° counterclockwise, what is the new position?

Back

The new position will be (-b, a).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point (a, b) is rotated 180° around the origin, what is the new position?

Back

The new position will be (-a, -b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is rotated 90° clockwise?

Back

The coordinates change from (x, y) to (y, -x).

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