Class 7 Maths Part 1 Chapter 5 PDF: Parallel and Intersecting Lines (Ganita Prakash)

Class 7 Maths Part 1 Chapter 5, Parallel and Intersecting Lines, investigates the geometry of lines on a plane—linear pairs, vertically opposite angles, perpendicular and parallel lines, paper-folding constructions, and the corresponding, alternate and interior angles formed by a transversal.

What Class 7 Mathematics Chapter 5 Covers

5.1–5.4 Intersecting, Perpendicular & Parallel Lines shows that two intersecting lines form four angles where adjacent angles form a linear pair summing to 180° and vertically opposite angles are equal, defines perpendicular (90°) and parallel lines, and explores paper folding.

5.5–5.9 Transversals, Corresponding & Alternate Angles introduces a transversal intersecting two lines, establishes that lines are parallel if and only if corresponding angles are equal, alternate interior angles are equal, and co-interior angles on the same side of the transversal add up to 180°, and constructs parallel lines using a set square.

Exercises in Chapter 5

• Figure it Out exercise sets and Summary with solved walkthroughs.

Read Class 7 Mathematics Chapter 5 Online

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FAQ

What is the relationship between vertically opposite angles when two lines intersect?
When two straight lines intersect, the vertically opposite angles formed are always equal to each other, and each pair of adjacent angles forms a linear pair adding up to 180°.

How do corresponding, alternate interior, and co-interior angles behave when a transversal cuts two parallel lines?
Each pair of corresponding angles is equal, each pair of alternate interior angles is equal, and each pair of interior angles on the same side of the transversal is supplementary (adds up to 180°).

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