Quadrilaterals
CBSE · Class 8 · Mathematics
Summary of Quadrilaterals for CBSE Class 8 Mathematics. Key concepts, important points, and chapter overview.
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Overview
Quadrilaterals are four-sided figures. The word comes from Latin: quadri means four and latus means sides. A quadrilateral has four sides and four angles. Many important shapes in geometry are special types of quadrilaterals, such as rectangles, squares, rhombuses, kites, trapeziums, and parallelogr
Key Concepts
A quadrilateral is a four
A quadrilateral is a four-sided figure with four angles. The angles are the angles between its sides.
A rectangle is a quadrilateral
A rectangle is a quadrilateral in which the angles are all 90°; earlier it is also defined as a quadrilateral with all right angles and opposite sides
A square is a quadrilateral
A square is a quadrilateral in which all angles are 90° and all sides are equal. Every square is a rectangle, but every rectangle is not a square. The
A quadrilateral can be split into
A quadrilateral can be split into two triangles by a diagonal. Since each triangle has angle sum 180°, the sum of all angles in any quadrilateral is 3
A parallelogram is a quadrilateral
A parallelogram is a quadrilateral with two pairs of parallel opposite sides. Its diagonals bisect each other.
Learning Objectives
- Identify a quadrilateral and distinguish it from non-quadrilateral figures
- Understand the definitions of rectangle, square, rhombus, kite, trapezium, isosceles trapezium, and parallelogram
- Use diagonals and triangle congruence to prove properties of quadrilaterals
- Find the sum of angles in any quadrilateral
- Recognise how special quadrilaterals are related to one another
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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