Polygons are multi-sided shapes with different properties. Shapes have symmetrical properties and some can tessellate.

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A quadrilateral is a 2D shape with four sides.

There are six special quadrilaterals with different properties.

- A square has four sides of equal length.
- It has four right angles (90°).
- The opposite sides are parallel.
- The diagonals bisect each other at right angles.

- A rectangle has two pairs of equal sides.
- It has four right angles (90°).
- The opposite sides are parallel.
- The diagonals bisect each other.

- A parallelogram has two pairs of equal sides.
- It has two pairs of equal angles.
- The opposite sides are parallel.
- The diagonals bisect each other.

- A rhombus has four sides of equal lengths.
- It has two pairs of equal angles.
- The opposite sides are parallel.
- The diagonals bisect each other at right angles.

- A trapezium has one pair of parallel sides.

- A kite has two pairs of equal sides.
- It has one pair of equal angles.
- The diagonals bisect at right angles.

The sum of interior angles in a quadrilateral is 360°.

This fact and the properties of quadrilaterals can be used to calculate angles.

Find angle .

- Question
Find the unknown angles.

The quadrilateral is a parallelogram. Opposite angles are equal.

Angles in a quadrilateral add up to 360° and opposite angles are equal.