Quadrilaterals • Topic 1 of 2

Recognize Quadrilaterals

A quadrilateral is any closed shape with exactly 4 sides and 4 angles.

  • Square: 4 equal sides, 4 right angles
  • Rectangle: Opposite sides equal, 4 right angles
  • Rhombus: 4 equal sides, opposite angles equal (no right angles)
  • Trapezoid: Exactly 1 pair of parallel sides
  • Parallelogram: 2 pairs of parallel sides, opposite sides equal
Square4 equal sidesRectangleopp. sides equalTrapezoid1 pair parallelParallelogram2 pairs parallelRhombus4 equal sidesAll are quadrilaterals: 4 sides, 4 angles
Solved Examples
1
Worked Example
Which quadrilateral has 4 equal sides AND 4 right angles?
SolutionA square. It is the only quadrilateral with both properties.
2
Worked Example
Which quadrilateral has exactly one pair of parallel sides?
SolutionA trapezoid. It has one pair of parallel sides (the two bases) and one pair that is not parallel.
3
Worked Example
Which has opposite sides parallel but no right angles?
SolutionA parallelogram or rhombus. Opposite sides are parallel and equal, but corners are not 90°.

Key Points

  • All quadrilaterals: 4 sides + 4 angles.
  • Square and rectangle: 4 right angles. Rhombus: 4 equal sides.
  • Trapezoid: 1 pair parallel. Parallelogram: 2 pairs parallel.
Quick Check — 4 MCQs
Tap an option to check your answer0 / 4
Q1.A quadrilateral is a shape with how many sides?
Explanation: Four sides.
Q2.A quadrilateral has how many corners?
Explanation: Four.
Q3.Which is a quadrilateral?
Explanation: A square.
Q4.Is a triangle a quadrilateral?
Explanation: No (it has $3$ sides).
Practice more MCQs → 📝 Assignment · 35 marks