1. Learning Objective
We will determine1 how to use Rotation to draw a preimage and image of a figure on the coordinate plane.
What are we going to do?
What is determine means?_____.
CFU
Activate Prior Knowledge
A rotation is a transformation around point P, the center of rotation, such that the following is true.
• Every point and its image are the same distance from P.
• All angles with vertex P formed by a point and its image have the same measure. This angle measure is the angle of rotation.
Rotation
Make Connection
Every 90° of rotation moves the preimage around the origin by one quadrant, so a 270° rotation moves the preimage from Quadrant I to Quadrant IV.
1 Figure out
Vocabulary

2. Draw the image of the figure under the given rotation.
Skill Development/Guided Practice
When no direction is specified, you can assume that a rotation is counterclockwise. The table summarizes rules for rotations on a coordinate plane.
Draw the image of the figure under the given rotation.
Pair-Share: How do you reflect a figure?
CFU

3. 1. On your whiteboard: Rotate 90° counterclockwise.
Skill Development/Guided Practice
Rotation (turn) is the action of rotating around an axis or center.
Steps to find Rotation: 1 2 3 4
How did I/you know which point to choice?
How did I/you find the reflection type?
How did I/you plot the pre-image points?
CFU 1 2 3
Find the coordinates of the vertices of the preimage
Graph the preimage.
Find the coordinates of the vertices of the image (Apply the Rule)
Graph the Image.
1. On your whiteboard: Rotate 90° counterclockwise.

4. 1. On your whiteboard: Rotate 180°.
Skill Development/Guided Practice
Rotation (turn) is the action of rotating around an axis or center.
Steps to find Rotation: 1 2 3 4
How did I/you know which point to choice?
How did I/you find the reflection type?
How did I/you plot the pre-image points?
CFU 1 2 3
Find the coordinates of the vertices of the preimage
Graph the preimage.
Find the coordinates of the vertices of the image (Apply the Rule)
Graph the Image.
1. On your whiteboard: Rotate 180°.

5. 1. On your whiteboard, Name the rule
Skill Development/Guided Practice
Rotation (turn) is the action of rotating around an axis or center.
Steps to find Rotation: 1 2 3 4
Find the coordinates of the vertices of the preimage
Graph the preimage.
Find the coordinates of the vertices of the image (Apply the Rule)
Graph the Image.
1. On your whiteboard, Name the rule

6. 1. On your whiteboard, Identify the Rule
Skill Development/Guided Practice
Rotation (turn) is the action of rotating around an axis or center.
Steps to find Rotation: 1 2 3 4
Find the coordinates of the vertices of the preimage
Graph the preimage.
Find the coordinates of the vertices of the image (Apply the Rule)
Graph the Image.
1. On your whiteboard, Identify the Rule

7. Skill Development/Guided Practice

8. What did you learn today about how to use Rotation to draw a preimage and image of a figure on the coordinate plane.
Word Bank
Image & Preimage
Rotation
Center of rotation
Angle of rotation.
SUMMARY CLOSURE
Today, I learned how to __________________
______________________________________________________________.