Understanding shape
ICSE · Class 8 · Mathematics
Quick revision notes for Understanding shape — ICSE Class 8 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
1. Curves, Open Curves, and Closed Curves
- All these figures are called curves.
- In mathematics, a straight line is also called a curve.
- A curve which does not cut itself is called an open curve.
2. Polygons and Their Parts
- A polygon is a closed plane figure bounded by straight-line segments.
- The line segments forming a polygon intersect only at end-points, and each end-point is shared by only two line segments.
- The segments of a polygon are called its sides.
3. Types of Polygons
- If each angle of a polygon is less than 180°, it is called a convex polygon.
- If at least one internal angle of a polygon is more than 180°, it is called a concave or re-entrant polygon.
- Unless it is stated, a polygon means a convex polygon.
4. Sum of Interior Angles of a Polygon
- The number of triangles formed is two less than the number of sides in the polygon.
- Sum of interior angles of a polygon with n sides = (n - 2) × 180°.
- The same formula can also be written as (2n - 4) × 90°.
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