Quadrilaterals
Quadrilaterals are four-sided polygons with specific properties, and understanding types like parallelograms and trapeziums aids geometric p
Core concept
A parallelogram has opposite sides parallel and equal, opposite angles equal, and diagonals that bisect each other.
How it works
A rectangle is a parallelogram with all angles equal to 90°, while a rhombus is a parallelogram with all sides equal.
Why it matters
A square has properties of both rectangle and rhombus - all sides equal and all angles 90°.
Key detail
A trapezium has only one pair of parallel sides, distinguishing it from parallelograms which have two pairs of parallel sides.
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Quick notes
• Parallelogram: opposite sides parallel, equal.
• Opposite angles equal, diagonals bisect each other.
• Rectangle: parallelogram, all angles 90°.
• Rhombus: parallelogram, all sides equal.
• Square: both rectangle and rhombus properties.
• All sides equal, all angles 90°.
• Trapezium: only one pair of parallel sides.
• This differs from parallelograms (two pairs).