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CLOSED FIGURE

Closed Figure

Definition Of Closed Figure

If the start and end points of a figure are same, then it is called a Closed Figure.

More About Closed Figure

At least three lines or sides are required to form a closed polygon.

Video Examples: Classification Of Triangles - An Introduction / Maths Geometry

Example of Closed Figure

examples of Closed Figure

All the figures shown are closed figures as their start and end points are same.

 

Solved Example onClosed Figure

Ques: Identify the closed figure from the following?

example of Closed Figure

Choices:

A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4
Correct Answer: B

Solution:

Step 1: The start and end points of figures 1 and 4 are not same.
Step 2: In figure 3, two lines are intersecting. So, it is not a closed figure.
Step 3: Here, only figure 2 has the start and end points same.
Step 4: So, figure 2 represents a closed figure.

Quick Summary

  • Closed figures have the same start and end points.
  • They form a complete boundary without any openings.
  • At least three lines or sides are required to form a closed polygon.
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🍎 Teacher Insights

Use visual aids like ropes or drawings to demonstrate closed and open figures. Have students create their own closed figures using different materials.

🎓 Prerequisites

  • Lines
  • Points
  • Basic Shapes

Check Your Knowledge

Q1: Which of the following is a closed figure?

Q2: A closed figure must have at least how many sides?

Frequently Asked Questions

Q: What is the difference between a closed and an open figure?
A: A closed figure's start and end points meet, forming a complete boundary. An open figure has start and end points that do not meet, leaving an opening.

Q: Can a circle be a closed figure?
A: Yes, a circle is a closed figure because it has a continuous boundary with the start and end points meeting.

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