INTERSECT
Definition Of Intersect
Two lines are said to Intersect when they cross each other or meet, at a single point.
Video Examples:Construction:Union and Intersection
Example of Intersect
Any line segment that crosses or meets AD is said to intersect AD. In the given figure, the line segments AB, DC, DH, and AE intersect AD.
Solved Example on Intersect
Ques: What is the intersection of AEFB and CDEA?
Choices:
A. line AC
B. line AE
C. line AB
D. line ED
Correct Answer: B
Solution:
Step 1: AEFB is part of a plane.
Step 2: CDEA is part of another plane.
Step 3: Point of intersection of the two planes is a line.
Step 4: Hence, the point of intersection of AEFB and CDEA is line AE.
Quick Summary
- Intersection occurs when lines or planes share a common point or line.
- The intersection of two lines is a point.
- The intersection of two planes is a line.
🍎 Teacher Insights
Use physical models to demonstrate the intersection of planes. Emphasize the difference between intersection and other geometric relationships like parallelism.🎓 Prerequisites
- Basic geometric shapes
- Understanding of lines and planes
Check Your Knowledge
Q1: What is the intersection of two distinct planes that are not parallel?
Q2: Lines AB and CD intersect at point E. Which of the following is true?
Frequently Asked Questions
Q: What is the intersection of two parallel lines?
A: Parallel lines do not intersect, so their intersection is the empty set.
Q: Can a line intersect a plane at more than one point?
A: If a line is not contained within the plane, it will intersect at only one point. If it is contained within the plane it will intersect at infinitely many points (the line itself).