Quadrilaterals
Maths: Edexcel IGCSE Higher, topic 4.2.2
Quadrilaterals
Angles in a quadrilateral (a 4 sided shape) add up to 360°.
Rectangle
- A rectangle is a quadrilateral with four right angles.
- Its diagonals are the same length.
- It has rotational symmetry of order 2 and two lines of symmetry.
Square
- A square is a rectangle with sides all the same length.
- It has rotational symmetry of order 4 and four lines of symmetry.
- Its diagonals are the same length and cross at right angles.
Parallelogram
- A parallelogram has two pairs of parallel sides which are the same length and two pairs of equal angles which are opposite each other.
- It has rotational symmetry of order 2.
Rhombus
- A rhombus is a parallelogram with all sides the same length.
- It has two lines of reflectional symmetry and its diagonals cross at right angles.
Kite
- The top two sides are the same length. The bottom two sides are the same length.
- The angles on each side are equal. Its diagonals cross at right angles.
- There is only one line of symmetry.
General trapezium
- A general trapezium has one pair of parallel sides and no symmetry.
Isosceles trapezium
- A trapezium has one pair of parallel sides.
- An isosceles trapezium has sloping sides the same length and has one line of reflectional symmetry.
Test yourself on Quadrilaterals
What type of shape is this?
What type of shape is this?
What type of shape is this?
What type of shape is this?
How many lines of symmetry does a rhombus have?