How do figures rotate on a plane?
- Kathleen Callahan, Mr Hardin, melissahertel
BEFORE YOU BEGIN: VIDEO HOW TO USE TOOLS
Explore this rotation and measure the angles made between the pre-image points, the point of rotation and the corresponding image points using the angle tool. What do you notice? Write your response in the box below.
What do you notice about the angles made with corresponding pre-image and image points using the center of rotation as the vertex of the angle?
In the interactive below 3 points are rotated 45, 90 and 180 degrees clockwise around the origin (start at 1 and go through each iteration by pressing the right double arrow). Watch as the rotations occur and make some observations.
What did you notice about the location of each point compared to the other points as they were rotated by the same amount?
In the interactive above individual points were rotated by the same amount. Based on your observations of those points, how do you think you would rotate a triangle or any figure with multiple points and sides around a center of rotation?
Rotate triangle ABC counterclockwise 60 degrees around center point D. The video from the link below shows you how to use the tools.
180 Degree rotation v Reflection
Reflection vs 180 degree Rotation
Examining at the reflection compared to a 180 degree rotation below. What are some differences you notice? How could you identify the difference between a 180 degree rotation and a reflection?
Identifying key characteristics of reflections
Move the line of reflection to different positions. What do you notice to be always true about the corresponding pre image and image points compared to the line of reflection?