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Each topic has fun activities and games to help you learn. Complete all sections to learn well!
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Properties of a Parallelogram
Drag any vertex (A, B, C, or D)
Properties of a Parallelogram
A quadrilateral with both pairs of opposite sides equal and parallel is called a Parallelogram. Drag any vertex (A, B, C, or D); its opposite vertex will auto-adjust to maintain the parallelogram property.
- Opposite sides are equal (AB=CD, BC=DA).
- Opposite angles are equal (∠A=∠C, ∠B=∠D).
- Consecutive angles are supplementary (sum to 180°).
- Diagonals bisect each other.
Properties of a Rhombus
Drag any vertex to see how the diagonals stay perpendicular while all sides remain equal!
Properties of a Rhombus
A Rhombus is a special Parallelogram where all four sides are equal. Its diagonals bisect each other perpendicularly. Drag any vertex to change its shape while preserving all properties.
- All sides are equal (AB=BC=CD=DA).
- Diagonals bisect each other at a right angle.
- Diagonals bisect the angles of the rhombus.
- It has all the properties of a parallelogram.
Properties of a Trapezium
Drag horizontally on the points. The two bases (AD and BC) will remain parallel.
Properties of a Trapezium
A Trapezium or Trapezoid is a quadrilateral with only one pair of opposite sides parallel (AD || BC). Drag points horizontally along their respective parallel lines.
- Only one pair of opposite sides are parallel (AD || BC).
- Consecutive angles between parallel sides are supplementary (e.g., ∠A + ∠D = 180° and ∠B + ∠C = 180°).
- In an isosceles trapezium (non-parallel sides equal), base angles and diagonals are equal.