REFLECTIONAL SYMMETRY
Definition Of Reflectional Symmetry
A Reflectional Symmetry is a type of symmetry in which one half of the object is the mirror image of the other.
More About Reflectional Symmetry
A figure may have both horizontal and vertical lines of reflection.
Examples of Reflectional Symmetry
The alphabet V has reflectional symmetry about a vertical line of reflection.
Video Examples: Reflection Using Matrices
The hexagon has reflectional symmetry about both horizontal and vertical lines of reflection.
Solved Example on Reflectional Symmetry
Ques: The letter B has reflectional symmetry. Identify the list of other alphabets with similar reflection.
Choices:
A. A, H, I, M, O, T, U, W, X, Y
B. C, D, E, H, I, O, X
C. F, G, J, L, Q, R, S, Z
D. A, B, C, D, E, H, I, K, M, O, T, U, X, Y
Correct Answer: B
Solution:
Step 1: A reflection flips the figure across a line. The new figure is a mirror image of the original figure
Step 2: The alphabet 'B' has horizontal reflection because half a figure is a mirror image of the other half
Step 3: The other alphabets with similar reflection are C, D, E, H, I, O, X.
Quick Summary
- A figure has reflectional symmetry if it can be divided into two identical halves by a line of symmetry.
- The line of symmetry is also known as the mirror line.
- Figures can have horizontal, vertical, or diagonal lines of symmetry.
🍎 Teacher Insights
Use real-world examples like butterflies and faces to illustrate reflectional symmetry. Have students create their own symmetrical designs.🎓 Prerequisites
- Symmetry
- Lines of Symmetry
- Mirror Image
Check Your Knowledge
Q1: Which of the following letters has reflectional symmetry?
Q2: A rectangle has how many lines of symmetry?
Frequently Asked Questions
Q: What is a line of symmetry?
A: A line of symmetry is a line that divides a figure into two identical mirror images.
Q: Can a figure have more than one line of symmetry?
A: Yes, some figures can have multiple lines of symmetry. For example, a square has four lines of symmetry.