Monday, March 2, 2026

QUADRILATERALS

DEFINITION

 A quadrilateral is a fundamental polygon defined by four sides, four vertices, and four angles. The name itself is a giveaway, derived from the Latin quadri (four) and latus (side).

To qualify as a quadrilateral, a shape must be a closed, two-dimensional figure made of straight line segments.

KEY CHARACTERISTICS 

Regardless of their specific name (like square or trapezoid), all quadrilaterals share these essential traits:

Sides: 4 straight edges.

Vertices: 4 corners where the sides meet.

Interior Angles: The sum of all four interior angles is always 360°.

Diagonals: Every quadrilateral has exactly 2 diagonals (lines connecting opposite vertices).

DIFFERENT TYPES 

1. Square

A quadrilateral with 4 equal sides and 4 right angles.

2. Rectangle

A quadrilateral with 4 right angles and opposite sides of equal length.

3. Rhombus

A quadrilateral with 4 equal sides and opposite angles equal.

4. Trapezium

A quadrilateral with 1 pair of parallel sides.

5. Parallelogram

A quadrilateral with opposite sides parallel and equal.

6. Kite

A quadrilateral with 2 pairs of adjacent sides equal.

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REGULAR POLYGONS

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