Trapezium and Kite

Trapezium

A Trapezium is a quadrilateral with at least one pair of parallel opposite sides.

• Isosceles Trapezium: A trapezium where the non-parallel sides are of equal length. In an isosceles trapezium:
  • Angles on the same base are equal.
  • Diagonals are of equal length.

Kite

A Kite is a quadrilateral with two distinct pairs of equal-length adjacent sides.

• $AB = BC$
• $CD = DA$

Properties

1. Perpendicular Diagonals: The diagonals intersect at $90^\circ$.
2. One Bisector: One diagonal (the main axis) bisects the other diagonal.
3. Angles: One pair of opposite angles are equal (the ones between the unequal sides).