NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 2: Geometry - True or False Questions

Question 38

Step 1: A line segment is a straight path between two endpoints.

Step 2: When two segments meet, they share a common point. This common point is called the point of intersection.

Step 3: If two different segments met at two different points, say \(P\) and \(Q\), then both segments would contain the entire straight path from \(P\) to \(Q\).

Step 4: That means they would overlap on the segment \(\overline{PQ}\) and share infinitely many common points, not just two.

Step 5: For two distinct segments, the number of intersection points can be:

• \(0\) points — they do not meet.
• \(1\) point — they cross at a single point.
• Infinitely many points — only when they lie on the same line and overlap.

Conclusion: Two line segments cannot intersect at exactly two points. The statement is false.