Lines and Angles
Gujarat Board · Class 9 · Mathematics
Quick revision notes for Lines and Angles — Gujarat Board Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Basic Terms and Definitions
- Line segment: Part of a line with two endpoints (denoted as AB)
- Ray: Part of a line with one endpoint extending infinitely in one direction
- Line: Extends infinitely in both directions
Angle Pairs and Relationships
- Adjacent angles share a common vertex and common arm, with non-common arms on different sides
- Complementary angles: Two angles whose sum is 90°
- Supplementary angles: Two angles whose sum is 180°
Linear Pair Axiom
- Axiom 6.1: If a ray stands on a line, then the sum of two adjacent angles formed is 180°
- Axiom 6.2: If the sum of two adjacent angles is 180°, then their non-common arms form a line
- These axioms are converses of each other
Intersecting Lines and Vertically Opposite Angles
- When two lines intersect, they form four angles
- Vertically opposite angles are equal
- Two pairs of vertically opposite angles are formed
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