Rotation

What is rotation in mathematics?

• Movement of an object around a fixed point or axis

• Reflection of an object

• Expansion of an object

• Change in shape of an object

What is the center of rotation?

• Pivot point

• Axis of rotation

• Rotational center

• Fixed point

What is the angle of rotation?

• Degrees

• Seconds

• Minutes

• Radians

What is the direction of rotation?

• The direction of rotation can be clockwise or counterclockwise.

• The direction of rotation can be both clockwise and counterclockwise simultaneously.

• The direction of rotation can only be counterclockwise.

• The direction of rotation can only be clockwise.

What is the formula to find the coordinates of a point after rotation?

• (x*cos(theta) + y*sin(theta), x*sin(theta) - y*cos(theta))

• (x*cos(theta) + y*sin(theta), x*sin(theta) + y*cos(theta))

• (x*cos(theta) - y*sin(theta), x*sin(theta) - y*cos(theta))

• (x*cos(theta) - y*sin(theta), x*sin(theta) + y*cos(theta))

What is a clockwise rotation?

• Rotation in the opposite direction of a clock's hands.

• Rotation in the direction of a clock's hands

• Rotation in a random direction.

• Rotation in the direction of a clock's numbers.

What is a counterclockwise rotation?

• Clockwise rotation

• Opposite direction of the clock's hands

• Diagonal rotation

• Vertical rotation

What is the difference between a rotation and a translation?

• A rotation only occurs in two dimensions, while a translation can occur in three dimensions.

• A rotation changes the size of an object, while a translation changes its shape.

• A rotation moves an object around a fixed point, while a translation moves an object from one location to another without changing its orientation.

• A rotation moves an object from one location to another without changing its orientation, while a translation moves an object around a fixed point.

What is the order of rotational symmetry?

• The order of rotational symmetry is always 1.

• The order of rotational symmetry is always 0.

• The order of rotational symmetry depends on the shape. It can be any whole number or infinite.

• The order of rotational symmetry is always 2.

What are some real-life examples of rotation?

• Earth rotating on its axis, spinning top, rotating fan, rotating wheel on a car

• Rotating windmill, rotating record player, rotating carousel