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Lines and Angles

Gujarat Board · Class 7 · Mathematics

Quick revision notes for Lines and Angles — Gujarat Board Class 7 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

45 questions5 concepts

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Key Topics to Revise

1

Basic Concepts: Lines, Line Segments, and Rays

  • A line segment has TWO end points and a fixed, measurable length. Example: The edge of your ruler.
  • A line has NO end points — it extends infinitely in BOTH directions. Example: A road stretching endlessly.
  • A ray has ONE end point (called the initial point or starting point) and extends infinitely in only ONE direction. Example: A ray of sunlight.
2

Related Angles: Complementary and Supplementary

  • Two angles are COMPLEMENTARY if their sum equals 90°. Each angle is the complement of the other.
  • Two angles are SUPPLEMENTARY if their sum equals 180°. Each angle is the supplement of the other.
  • Complementary angles do NOT have to be adjacent (next to each other) — they just need to add up to 90°.
3

Adjacent Angles, Linear Pair, and Vertically Opposite Angles

  • Adjacent angles share a common vertex and a common arm, but their non-common arms are on OPPOSITE sides of the common arm.
  • A Linear Pair is formed when two adjacent angles are supplementary (sum = 180°). They together form a straight line.
  • The two angles in a linear pair ALWAYS add up to 180°.
4

Pairs of Lines: Intersecting Lines and Transversal

  • Two lines INTERSECT if they have exactly one point in common — called the point of intersection.
  • Two lines on the same plane that never intersect are called PARALLEL LINES. Symbol: l ∥ m means line l is parallel to line m.
  • A TRANSVERSAL is a line that cuts (intersects) two or more lines at DISTINCT (different) points.

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Full Notes

Key Concepts

A line segment has two fixedAn angle is formed when twoTwo angles are complementary ifTwo angles are supplementary ifA linear pair consists of two

Frequently Asked Questions

What are the important topics in Lines and Angles for Gujarat Board Class 7 Mathematics?
Key topics in Lines and Angles include Lines and Angles – Complete Chapter Overview, Lines and Angles – Complete Chapter Overview, Lines and Angles - Concept Overview. These are the concepts Gujarat Board Class 7 examiners draw on most — study them first, then practise related questions.
How to score full marks in Lines and Angles — Gujarat Board Class 7 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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