Core
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
- Acute angle — measures less than 90°.
- Right angle — measures exactly 90°.
- Obtuse angle — measures more than 90° but less than 180°.
- Straight angle — measures exactly 180°.
- Reflex angle — measures more than 180° but less than 360°.
- Equilateral triangle — all 3 sides equal, all angles 60°.
- Isosceles triangle — exactly 2 sides equal.
- Scalene triangle — no sides equal.
- 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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