The Properties of Quadrilaterals

The Properties of Quadrilaterals

Quadrilateral / Sides / Parallel Sides? / Perpendicular Lines? / Angles / Diagonals / Symmetry
Square / All 4 sides are equal. / Opposite sides are parallel. / 2 pairs of perpendicular lines. / All 4 angles are equal: 90° / Diagonals bisect each other at 90°
Diagonals are equal length. / 4 lines of symmetry.
Order of rotational symmetry: 4
Rhombus / All 4 sides are equal. / Opposite sides are parallel. / No perpendicular lines. / Opposite angles are equal. / Diagonals bisect each other at 90°
Diagonals arenot equal. / 2 lines of symmetry.
Order of rotational symmetry: 2
Rectangle / Opposite sides are equal. / Opposite sides are parallel. / 2 pairs of perpendicular lines. / All 4 angles are equal: 90° / Both diagonals bisect each other.
Diagonals are equal length. / 2 lines of symmetry.
Order of rotational symmetry: 2
Parallelogram / Opposite sides are equal. / Opposite sides are parallel. / No perpendicular lines. / Opposite angles are equal. / Both diagonals bisect each other.
Diagonals arenot equal. / No lines of symmetry.
Order of rotational symmetry: 2
Trapezium / No sides are equal. / One pair of sides is parallel. / No perpendicular lines. / No angles are equal. / No diagonals bisect each other.
Diagonals are not equal. / No lines of symmetry.
No of rotational symmetry
Kite / Has 2 pairs of equal sides. / No parallel sides. / May have one pair of perpendicular lines. / One pair of opposite angles is equal. / One diagonal bisects each other. / Kite