PLANE
Definition Of Plane
A flat surface that extends into infinity in all directions is known as a Plane.
More About Plane
It is also called as two-dimensional surface.
Any three noncollinear points lie on one and only one plane.
A plane has infinite width and length, zero thickness, and zero curvature.
Examples of Plane
The figure shown is a flat surface extended in all the directions. So, it is a plane.
Video Examples: Point Line Plane - Geometry Help
Solved Example on Plane
Ques: Which of the figures represents that one plane is being cut by another?
Choices:
A. Figure 1
B. Figure 3
C. Figure 2
D. None of the above
Correct Answer: A
Solution:
Step 1: A flat surface that extends into infinity in all directions is known as a Plane.
Step 2: Here, only Figure 1 represents that one plane is being cut by another plane.
Quick Summary
- A plane is a two-dimensional surface.
- Any three noncollinear points lie on one and only one plane.
- A plane has infinite width and length, zero thickness, and zero curvature.
🍎 Teacher Insights
Use real-world examples such as walls, table tops, or whiteboards to illustrate the concept of a plane. Emphasize the infinite nature of a plane.🎓 Prerequisites
- Points
- Lines
- Spatial Reasoning
Check Your Knowledge
Q1: Which of the following best describes a plane?
Q2: How many points are required to define a unique plane?
Frequently Asked Questions
Q: What are the dimensions of a plane?
A: A plane has infinite length and width but zero thickness.
Q: How many points define a plane?
A: Three non-collinear points define a unique plane.