Real-World Examples of Rotation: Turns We See Every Day

📚 Quick Study Guide

• 🔄 Definition: Rotation is a transformation that turns a figure about a fixed point called the center of rotation.
• 📐 Angle of Rotation: Measured in degrees, indicating how much the figure is rotated. A full rotation is $360^{\circ}$.
• 🧭 Direction: Rotations can be clockwise or counterclockwise.
• 📍 Center of Rotation: The point around which the rotation occurs.
• ➕ Positive & Negative Angles: Positive angles usually indicate counterclockwise rotation, while negative angles indicate clockwise rotation.
• 🔢 Common Rotations: Some common rotations are $90^{\circ}$, $180^{\circ}$, and $270^{\circ}$.

Practice Quiz

1. What is the degree measure of a full rotation?
   1. 90°
   2. 180°
   3. 270°
   4. 360°
2. Which of the following is an example of rotation in everyday life?
   1. A car driving straight down the road.
   2. A door opening and closing.
   3. An elevator going up and down.
   4. A picture hanging on a wall.
3. What term describes the fixed point around which a rotation occurs?
   1. Axis of symmetry
   2. Center of rotation
   3. Point of reflection
   4. Origin
4. A Ferris wheel makes one complete turn. What is the angle of rotation?
   1. 90°
   2. 180°
   3. 270°
   4. 360°
5. If a clock's second hand moves from 12 to 3, what degree of rotation has it completed?
   1. 45°
   2. 90°
   3. 180°
   4. 360°
6. Which direction is typically associated with a positive angle of rotation?
   1. Clockwise
   2. Counterclockwise
   3. Downward
   4. Upward
7. What is the result of rotating a square $90^{\circ}$ about its center?
   1. A smaller square
   2. A rectangle
   3. The same square
   4. A triangle