Intersecting | Class 7 Mathematics Notes

5.3 Between Lines

This section focuses on the relationships between line segments on a plane, describing how they meet or cross each other. Using a figure with line segments, students are encouraged to use mathematical terms such as endpoint, midpoint, meet, and intersect to describe the interactions between segments. The section also prompts students to consider whether certain line segments, if extended, would meet or remain apart. This leads to the introduction of parallel lines—lines that lie on the same plane and never meet, no matter how far they are extended. Real-world examples of parallel lines are shown, such as railway tracks and edges of a book. The section emphasizes that for lines to be parallel, they must lie on the same plane. The section also includes examples of parallel lines in art and shading, helping students connect geometry with everyday life. Students are asked to identify parallel lines in a given figure, reinforcing the concept.

📊 Diagram: Fig. 5.5 shows various line segments meeting or crossing at different points; Fig. 5.6 shows multiple lines with some pairs identified as parallel.

🔗 Connection: This section introduces parallel lines, which leads to activities involving paper folding to explore parallel and perpendicular lines in the next section.