1. Mr Barton’s Maths Notes
Shape and Space
2a. Triangles and Quadrilaterals

2. 1. Triangles
There are 4 types of triangles you need to be on the look-out for and you must know the properties of (what is special about) each of them
All angles are equal (600 each)
All sides are the same length
Three lines of symmetry
Equilateral
Two angles are equal
Two sides are the same length
One line of symmetry
Isosceles
One angle is 900
All sides may be different lengths
All angles may be different
May have 0 or 1 line of symmetry
Right Angled
All angles are different sizes
All sides are different lengths
No lines of symmetry
Scalene

3. 2. Quadrilaterals
A Quadrilateral is any four-sided shape. There are lots of quadrilaterals flying around, and it is important that you know the properties of each… so here they are!
All angles are right-angles (900 each)
All sides are the same length
Two pairs of parallel lines
Four lines of symmetry
Square
Opposite angles are equal
Opposite sides are the same length
Two pairs of parallel sides
May have no lines of symmetry
Parallelogram
All angles are right-angles (900 each)
Opposite sides are the same length
Opposite sides are parallel
Has two lines of symmetry
Rectangle

4. Opposite angles are equal
All sides are the same length
Opposite sides are parallel
Two lines of symmetry
Rhombus
Notice: Each of the four shapes above are very similar… in fact, they are all just special types of parallelograms! See how they each have two pairs of parallel sides… and then it just certain other properties that make them different shapes!
All angles may be different sizes
All sides may be different lengths
Opposite sides are parallel
May have no lines of symmetry
Trapezium
One pair of equal angles
Adjacent sides are the same length
No pairs of parallel sides
One line of symmetry
Kite