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Quadrilaterals

The Hook

The family of four.

What is it?

Polygons with exactly four sides and four vertices.

Time Travel (History)

The basis of land division and city blocks.

Cheat Code

A Square is a Rectangle, but a Rectangle isn't always a Square.

Practice This Now!

The Field Guide

In Plain English: This is a family tree. The 'Quad' family includes messy shapes. The 'Parallelogram' cousins have parallel sides. The 'Rectangle' kids have straight corners. The 'Square' is the perfect child that has it all.

In The Real World: Screens (16:9 Rectangles). Paper (A4 Rectangles). Kites.

How To Do It

  1. Check parallel sides. (2 pairs = Parallelogram).
  2. Check corners. (4 Right angles = Rectangle).
  3. Check side lengths. (4 Equal sides = Rhombus).
  4. If it has ALL of these, it is a Square.
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Booby Trap!

Thinking a Rhombus (diamond) is a Square. A Rhombus has equal sides, but doesn't need 90-degree angles.

Real World Challenge
"A shape has 4 equal sides but no right angles. What is it?"
The Logic: Equal sides means Rhombus. No right angles means it is NOT a square. Answer: Rhombus.

Training Drills

Hierarchy
Quad | Parallel / \ Rect Rhomb \ / Square
Square inherits all traits.