Rotational symmetry definition and examples for 8th grade

📚 Quick Study Guide

• 🔄 Definition: Rotational symmetry means a shape looks the same after a rotation (turning).
• 📐 Angle of Rotation: The smallest angle you can rotate a shape so it looks the same.
• 🔢 Order of Rotation: How many times a shape looks the same during a full rotation (360°).
• ✨ Finding Symmetry: Imagine rotating the shape. Does it match its original position before completing a full circle?
• 🧮 Calculating Angle: Angle of rotation = $\frac{360°}{\text{Order of Rotation}}$
• 📌 No Symmetry: If a shape only looks the same after a full 360° rotation, it has no rotational symmetry (or order 1).

Practice Quiz

1. What is the definition of rotational symmetry?
   1. A shape that looks different after rotation.
   2. A shape that looks the same only after a 360° rotation.
   3. A shape that looks the same after a rotation less than 360°.
   4. A shape that cannot be rotated.
2. Which of the following shapes has rotational symmetry?
   1. Scalene triangle
   2. Rectangle
   3. Parallelogram
   4. Isosceles trapezoid
3. What is the angle of rotation for a shape with order 4 rotational symmetry?
   1. 360°
   2. 180°
   3. 90°
   4. 45°
4. A square has rotational symmetry of order?
   1. 1
   2. 2
   3. 3
   4. 4
5. Which of these letters has rotational symmetry of order 2?
   1. A
   2. B
   3. H
   4. P
6. A regular pentagon has rotational symmetry of order:
   1. 3
   2. 4
   3. 5
   4. 6
7. What is the angle of rotation for a shape with order 5 rotational symmetry?
   1. 60°
   2. 72°
   3. 90°
   4. 120°