Rotations of figures

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 it mean to rotate a figure 90° clockwise?

Back

To rotate a figure 90° clockwise means to turn the figure 90 degrees to the right around the center of rotation.

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 is the angle of rotation?

Back

The angle of rotation is the measure of the degree through which a figure is rotated.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point (x, y) when it is rotated 90° clockwise around the origin?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point (x, y) when it is rotated 180° around the origin?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point (x, y) when it is rotated 270° clockwise around the origin?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the relationship between rotations and congruence?

Back

Rotations produce congruent figures, meaning the original figure and the rotated figure have the same shape and size.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips a figure over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

A rotation changes the orientation of a figure, meaning the order of the vertices will change.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5