Lines and Angles — Revision Notes
Madhya Pradesh Board · Class 9 · Mathematics
Lines and Angles revision notes for Madhya Pradesh Board Class 9 Mathematics: 4 topics in quick points. Includes Basic Terms and Definitions, Linear Pair.
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Key Topics to Revise
Basic Terms and Definitions
- A line segment has two endpoints, a ray has one endpoint, and a line extends infinitely in both directions
- Collinear points lie on the same line; non-collinear points do not
- An angle is formed when two rays originate from the same endpoint
Linear Pair Axiom
- When a ray stands on a line, it forms two adjacent angles
- The sum of these two adjacent angles is always 180°
- If two adjacent angles sum to 180°, their non-common arms form a straight line
Vertically Opposite Angles
- Formed when two lines intersect at a point
- Two pairs of vertically opposite angles are created
- Vertically opposite angles are always equal
Parallel Lines and Transversals
- Parallel lines never meet and maintain constant distance between them
- A transversal is a line that intersects two or more lines
- When a transversal cuts parallel lines, specific angle relationships are formed
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