Mr Barton’s Maths Notes Shape and Space 2a. Triangles and Quadrilaterals www.mrbartonmaths.com

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

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

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