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 specified angle in a specified 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 mean?

Back

A 90° clockwise rotation means turning a 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 angle of rotation for a counterclockwise rotation?

Back

The angle of rotation for a counterclockwise rotation is measured in the opposite direction of the clock's hands.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine the new position of a point after a rotation?

Back

To determine the new position of a point after a rotation, apply the rotation transformation rules based on the angle and direction of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point 180° around the origin?

Back

Rotating a point 180° around the origin results in the point being located directly opposite its original position on the coordinate plane.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between clockwise and counterclockwise rotation?

Back

Clockwise rotation moves in the same direction as the hands of a clock, while counterclockwise rotation moves in the opposite direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a triangle is rotated 270° counterclockwise, what is the equivalent clockwise rotation?

Back

A 270° counterclockwise rotation is equivalent to a 90° clockwise rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How can you identify a rotation transformation from one figure to another?

Back

You can identify a rotation transformation by checking if the figures are congruent and if one can be obtained from the other by rotating around a specific point.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the significance of the angle of rotation in transformations?

Back

The angle of rotation determines how far the figure is turned around the center of rotation, affecting its final position.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5