ASYMMETRY
Definition Of Asymmetry
An irregularity or imbalance in the spatial pattern or shape or arrangement of an object or figure is called Asymmetry. For example, when a figure is divided into two unequal halves, it is a case of asymmetry.
More about Asymmetry
The opposite of asymmetry is called symmetry.
Examples of Asymmetry
The above figure is an example of asymmetry, as the sides on either side of a line are not the same.
Video Examples: Maths Integrals part 15 (Integration by substitution) CBSE class 12 Mathematics XII
Solved Example on Asymmetry
Ques: Which of the figures are examples of asymmetry?
Choices:
A. Figure 1 and Figure 3
B. Figure 1 and Figure 2
C. Figure 2 and Figure 3
D. none of the above
Correct Answer: A
Solution:
Step 1: When a figure is divided into two unequal halves, it is a case of asymmetry.
Step 2: Figure 1 and Figure 3 cannot be divided into two congruent halves.
Step 3: So, Figure 1 and Figure 3 are examples of asymmetry.
Quick Summary
- Asymmetry means not symmetrical.
- Asymmetrical figures cannot be divided into two identical halves.
🍎 Teacher Insights
Use real-world examples to illustrate asymmetry, such as faces or leaves. Encourage students to find asymmetrical objects in the classroom.🎓 Prerequisites
- Basic shapes
- Understanding of symmetry
Check Your Knowledge
Q1: Which of the following is an example of asymmetry?
Q2: A shape that cannot be divided into two identical halves is:
Frequently Asked Questions
Q: Is asymmetry the same as irregularity?
A: Not always. A shape can be irregular but still symmetrical if it has a repeating pattern.
Q: Can a real-world object be perfectly asymmetrical?
A: In theory, yes. In practice, there's always some degree of symmetry, even if it's very slight.