Trapezium
One pair of parallel sides
AB ∥ CD
Parallelogram
Opposite sides are parallel
- AB ∥ CD
- AD ∥ BC
Opposite sides are equal
- AB = CD
- AD = BC
Rhombus
Parallelogram with all sides equal
So,
- AB ∥ CD & AD ∥ BC
- AB = BC = CD = AD
Rectangle
Parallelogram with opposite sides equal & all 4 angles 90°
So,
- AB ∥ CD & AD ∥ BC
- AB = CD & AD = BC
- ∠A = ∠B = ∠C = ∠D = 90°
Square
Parallelogram with all sides equal & all 4 angles 90°
So,
- AB ∥ CD & AD ∥ BC
- AB = BC = CD = AD
- ∠A = ∠B = ∠C = ∠D = 90°