The angles add up to 2 X 180 = 360º D B A + B + C + D =360

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Properties of Quadrilaterals
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Presentation transcript:

A Quadrilateral is a four sided shape which can be made from 2 triangles The angles add up to 2 X 180 = 360º D B A + B + C + D =360 The area =sum of the areas of the two triangles C It fits inside a circle

The following quadrilaterals have properties which make them special square rectangle rhombus kite Trapezium without symmetry Isosceles Trapezium with symmetry parallelogram

THE SQUARE 4 equal sides = 90 Opposite sides equal and parallel Angles are = 90º Diagonals are equal Diagonals bisect each other at 90 º 4 lines of symmetry and quarter turn symmetry Fits outline 8 ways

The rectangle = Opposite sides equal and parallel Angles are = 90º Diagonals are equal Diagonals bisect each other 2 lines of symmetry and half turn symmetry Fits outline 4ways

 The rhombus Y 4 equal sides Opposite sides equal and parallel X Y 4 equal sides Opposite sides equal and parallel Opposite angles are equal Diagonals bisect each other at 90 º Diagonals bisect the angles 2 lines of symmetry and HALF turn symmetry Fits outline 4 ways

The parallelogram =  Opposite sides equal and parallel X Y Opposite sides equal and parallel Opposite angles are equal Diagonals bisect each other half turn symmetry Fits outline 2 ways

The Kite = = 2 pairs of adjacent equal sides One pair of opposite angles are equal X One diagonal bisects the other one at 90 º One diagonal bisecst the angles 1 line of symmetry Fits outline 2 way

The isosceles trapezium One pair of parallel sides 1 pairs of equal opposite sides X two pairs of adjacent angles are equal diagonals are equal Y 1 line of symmetry Fits outline 2 way

The trapezium One pair of parallel sides