ROTATION
Definition Of Rotation
A Rotation is a transformation that turns a figure about a fixed point.
More About Rotation
Rotation is also called as turn
The fixed point around which a figure is rotated is called as centre of rotation
Video Examples: Example of Rotation
Example of Rotation
Solved Example on Rotation
Ques: Identify the figures that represent a rotation.
Choices:
A. Figure 1 and Figure 2
B. Figure 1, Figure 2, and Figure 3
C. Figure 3 and Figure 2
D. Figure 1 and Figure 3
Correct Answer: A
Solution:
Step 1: A Rotation is a transformation that turns a figure about a fixed point called the center of rotation
Step 2: Here, in Figure 1 and Figure 2, the figures are turned about a fixed point called the center of rotation
Step 3: So, Figure 1 and Figure 2 represent rotation.
Quick Summary
- Rotation is also called a turn.
- The fixed point around which a figure is rotated is called the center of rotation.
⚠️ Common Mistakes
- Confusing rotation with reflection or translation.
- Incorrectly identifying the center of rotation.
🌍 Real-World Uses
- The movement of a Ferris wheel, where passengers are rotated around a central axis.
- The hands of a clock rotating around the center, indicating the passage of time.
- The Earth's daily rotation on its axis, causing day and night.
📋 Standards Alignment
CCSS.MATH.CONTENT.8.G.A.1CCSS.MATH.CONTENT.HSG.CO.A.5
🔗 Related Links
🍎 Teacher Insights
Use physical manipulatives like tracing paper to demonstrate rotations.🎓 Prerequisites
- Basic geometric shapes
- Coordinate plane
Check Your Knowledge
Q1: Which of the following represents a rotation?
Q2: What is the fixed point in rotation called?
Frequently Asked Questions
Q: What is the center of rotation?
A: The fixed point around which a figure is rotated.
Q: Is rotation a rigid transformation?
A: Yes, rotation preserves size and shape.