Rotations

Rotations

A type of transformation that takes each point in a figure and rotates (Turns/Spins) it a certain number of degrees around a given point

Rotations in the real world.

An example of rotation would be looking at a clock. This is an example of rotation because the clock hands rotate in a clockwise motion around a single, fixed point.

Multiple Choice

Which word can be used to describe a rotation?

• Flip

• Turn

• Slide

• Stretch

Movement

Rotations are defined by the way they turn. One way they turn is described in two directions Clockwise (CW) or Counterclockwise (CCW).

Movement 2

Rotations are also measured by the distance they turn around a circle. This is measured in degrees. A full circle is 360 degrees.

Congruent Figures

Rotations change the orientation of a figure, but the object remains the same size and shape (congruent).

We also refer to this as a Rigid Transformation.

Multiple Choice

What are the two ways we can describe rotations?

• Slide angle and degrees.

• Direction and Degrees

• Trajectory and Distance

• Enlargement and Reduction

Multiple Choice

Triangle B is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A
• B
• C
• D

Multiple Choice

Triangle A is rotated 270° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

Multiple Choice

What type of rotation does this represent (from red to blue)?

• 270⁰ clockwise

• 180⁰

• 90⁰ clockwise

Multiple Choice

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)
• (-3, 5)
• (-5, 3)
• (-3, 3)

Multiple Choice

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 90 degrees clockwise

Multiple Choice

The clock is going in the __________ direction.

• Clockwise

• Counterclockwise