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Quadrilaterals

Quadrilaterals. Equal and/or parallel sides. Equal angles. Right angles. Diagonals that bisect each other. Diagonals that are at right angles. Line symmetry. Rotational symmetry. Quadrilaterals are also named according to their properties.

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Quadrilaterals

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  1. Quadrilaterals Equal and/or parallel sides Equal angles Right angles Diagonals that bisect each other Diagonals that are at right angles Line symmetry Rotational symmetry Quadrilaterals are also named according to their properties. A shape can be classified according to whether it has:

  2. Parallelogram In a parallelogram opposite sides are equal and parallel. The diagonals of a parallelogram bisect each other. A parallelogram has rotational symmetry of order 2.

  3. Rhombus A rhombus is a parallelogram with four equal sides. The diagonals of a rhombus bisect each other at right angles. A rhombus has two lines of symmetry and it has rotational symmetry of order 2.

  4. Rectangle A rectangle has opposite sides of equal length and four right angles. A rectangle has two lines of symmetry.

  5. Square A square has four equal sides and four right angles. It has four lines of symmetry and rotational symmetry of order 4.

  6. Trapezium A trapezium has one pair of opposite sides that are parallel. Can a trapezium have any lines of symmetry? Can a trapezium have rotational symmetry?

  7. Isosceles trapezium In an isosceles trapezium the two opposite non-parallel sides are the same length. The diagonals of an isosceles trapezium are the same length. It has one line of symmetry.

  8. Kite A kite has two pairs of adjacent sides of equal length. The diagonals of a kite cross at right angles. A kite has one line of symmetry.

  9. Arrowhead An arrowhead or delta has two pairs of adjacent sides of equal length and one interior angle that is more than 180°. Its diagonals cross at right angles outside the shape. An arrowhead has one line of symmetry.

  10. Quadrilateral family tree QADRILATERAL KITE TRAPEZIUM PARALLELOGRAM RHOMBUS RECTANGLE ISOSCELES TRAPEZIUM DELTA SQUARE This family tree shows how the quadrilaterals are related.

  11. Guess the shape It is a quadrilateral. Its diagonals cross at right angles. It has one vertical line of symmetry. It has two pairs of adjacent sides of equal length. None of its interior angles are more then 180°. Can you identify this shape from its properties? The shape is a kite.

  12. Guess the shape It is a quadrilateral. Its diagonals are of equal length. It has one vertical line of symmetry It has one pair of parallel sides. One pair of opposite, non-parallel sides are the same length. Can you identify this shape from its properties? The shape is an isosceles trapezium.

  13. Quadrilaterals on a 3 by 3 pegboard

  14. True or false

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