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Understanding Elementary Shapes: Core

Core

Understanding Elementary Shapes (NCERT Ch. 5)

What you'll learn

  • Measure and compare line segments.
  • Classify angles: acute (<90°), right (=90°), obtuse (90°-180°), straight (=180°), reflex (>180°).
  • Classify triangles by sides (scalene, isosceles, equilateral) and angles (acute, right, obtuse).
  • Classify quadrilaterals (square, rectangle, rhombus, trapezium, parallelogram) and identify polygons and basic 3D shapes (cube, cuboid, sphere, cylinder, cone, pyramid).

Key concepts

  1. Acute angle — measures less than 90°.
  2. Right angle — measures exactly 90°.
  3. Obtuse angle — measures more than 90° but less than 180°.
  4. Straight angle — measures exactly 180°.
  5. Reflex angle — measures more than 180° but less than 360°.
  6. Equilateral triangle — all 3 sides equal, all angles 60°.
  7. Isosceles triangle — exactly 2 sides equal.
  8. Scalene triangle — no sides equal.
  9. 3D shapes: cube (6 square faces), cuboid (6 rectangular faces), sphere, cylinder, cone, pyramid.

Worked example

Classify an angle that measures 120°.

90° < 120° < 180°, so it is an obtuse angle.

Common mistakes

  • Mixing up obtuse (between 90° and 180°) with reflex (over 180°).
  • Assuming all triangles with two equal-looking sides are equilateral (check all three).
  • Confusing a cube (all square faces) with a cuboid (rectangular faces).

Quick check

  • Name the type of triangle with sides 5 cm, 5 cm, 5 cm.
  • What do you call an angle greater than 180°?

Open the Practice tab for graded questions on Understanding Elementary Shapes (NCERT Ch. 5).

Key Takeaways (TL;DR)

  • What you'll learn
  • Key concepts
  • Worked example
  • Common mistakes

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