Shapes, geometry and angles are important areas of mathematics. Calculate angles of regular and irregular polygons and create tessellations and tiling patterns.

Part of

A polygon is simply a shape with three or more sides and angles. Quadrilaterals are 2D shapes with four sides and angles.

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.
- The exterior angles of a square are each 90°.

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

- A parallelogram has two pairs of equal sides.
- It has two pairs of equal angles.
- It has two pairs of equal exterior 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.
- It has two pairs of equal exterior 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.
- One diagonal is bisected at right angles by the other.