iCoachMath
STEM Excellence Series: Empowering the Next Generation
CLOSED CURVE
Closed Curve
Definition Of Closed Curve
A Closed Curve is a curve with no endpoints.
More About Closed Curve
In a closed curve the starting point is always joined to the endpoint.
Video Examples: Understanding Curves - Simple and Closed Curve
Example of Closed Curve
The figures shown above are closed curves.
Solved Example on Closed Curve
Ques: Which figure does not represent a closed curve?
Choices:
A.Figure 1
B.Figure 2
C.Figure 3
D.Figure 4
Correct Answer: A
Solution:
Step 1: A closed curve is a curve with no endpoints.
Step 2: Here, Figure 2, Figure 3, and Figure 4 have the same starting and ending points but only in Figure 1, the starting and stopping points are different.
Step 3: So, Figure 1 is not a closed curve.
Quick Summary
- A closed curve has no beginning or end.
- The starting and ending points of a closed curve are the same.
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🍎 Teacher Insights
Use real-world examples of closed curves, such as loops of string or drawings on paper. Emphasize the difference between closed and open curves through visual aids and hands-on activities.🎓 Prerequisites
- Point
- Line
- Curve
- Endpoint
Check Your Knowledge
Q1: Which of the following is NOT a closed curve?
Frequently Asked Questions
Q: Is a circle a closed curve?
A: Yes, a circle is a closed curve because it has no endpoints.
Q: Can a closed curve cross itself?
A: Yes, a closed curve can cross itself, but it still must have no endpoints.