BASE OF A POLYGON
Definition Of Base Of A Polygon
Base is the bottom of a plane or a solid.
In case of trapezoids and prisms, both the top and the bottom are called bases, as they are parallel to each other.
More About Base of a Polygon
The base of a two-dimensional figure is a line.
The base of a three-dimensional figure is a plane.
Video Examples: Base of a Polygond Math
Example of Base of a Polygon
Two-dimensional: Circle is the base of a cone.
Three-dimensional: Square is the base of a cube.
Solved Example on Base of a Polygon
Ques: Which of these is the base of the figure shown?
Choices:
A. BC
B. AB
C. AC
D. ABC
Correct Answer: B
Solution:
Step 1: The base of the triangle shown is the line segment AB.
Quick Summary
- Base is the bottom of a 2D or 3D shape.
- Trapezoids and prisms can have multiple bases.
- Base of 2D figure is a line.
- Base of 3D figure is a plane.
🍎 Teacher Insights
Use physical manipulatives like triangles, cubes, and prisms to help students visualize the base. Emphasize that the base is often related to how the shape is oriented or used in calculations.🎓 Prerequisites
- Basic shapes
- Understanding of lines and planes
Check Your Knowledge
Q1: Which side is the base of the triangle shown?
Frequently Asked Questions
Q: Can a polygon have more than one base?
A: Yes, in some cases like trapezoids and prisms, where parallel sides or faces exist, they are both considered bases.
Q: Is the base always at the bottom?
A: Not necessarily. The orientation of the shape doesn't define the base; it's often the side or face used as a reference or for calculations (e.g., area or volume).