rotations geometry flashcard

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 does a 90° clockwise rotation do to a point (x, y)?

Back

The new coordinates after a 90° clockwise rotation are (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a 90° counterclockwise rotation do to a point (x, y)?

Back

The new coordinates after a 90° counterclockwise rotation are (-y, x).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What are the coordinates of a point after a 180° rotation around the origin?

Back

The new coordinates after a 180° rotation are (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point remains unchanged after a rotation, what can we say about its position?

Back

The point is located at the center of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the angle of rotation for a full rotation?

Back

The angle of rotation for a full rotation is 360°.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine the direction of rotation?

Back

Rotations can be either clockwise (to the right) or counterclockwise (to the left).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the image of the point F (-2, 7) after a 180° clockwise rotation?

Back

F' (2, -7).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the image of the point K (7, 8) after a 90° counterclockwise rotation?

Back

K' (-8, 7).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for a 180° rotation?

Back

The rule is (x, y) → (-x, -y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3