Quadrilaterals • Topic 2 of 2

A Square is a Special Rectangle

Think of shapes as a family — some shapes belong to more than one group.

  • Every rectangle has: 4 right angles + opposite sides equal
  • Every square has: 4 right angles + ALL sides equal

Since a square meets all the rules of a rectangle AND has equal sides, every square is a rectangle. But not every rectangle is a square (unless all sides are equal).

All RECTANGLES(4 right angles, opposite sides equal)All SQUARES(4 right angles + all sides equal)Square is inside rectangle family. Every square IS a rectangle!
Solved Examples
1
Worked Example
Is a square a rectangle?
SolutionYes. A square has 4 right angles and opposite sides equal — it meets all rectangle requirements. Plus all sides are equal.
2
Worked Example
Is every rectangle a square?
SolutionNo. A rectangle only needs opposite sides equal. If the sides are not all equal, it is not a square.
3
Worked Example
Name a shape that is always a square AND always a rectangle.
SolutionA square! Every square is a rectangle. But only squares with all sides equal qualify as squares.

Key Points

  • Square = rectangle + all sides equal.
  • Every square is a rectangle. Not every rectangle is a square.
  • A square belongs to: quadrilaterals, parallelograms, rectangles, rhombuses.
Quick Check — 4 MCQs
Tap an option to check your answer0 / 4
Q1.A rectangle has how many right angles?
Explanation: Four right angles.
Q2.A square has all four sides:
Explanation: Equal.
Q3.Is a square a rectangle?
Explanation: Yes — a special one.
Q4.Is every rectangle a square?
Explanation: No.
Practice more MCQs → 📝 Assignment · 35 marks