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Monday, 13 April 2015 1Created by Mr.Lafferty Level E Quadrilaterals This presentation will cover the basic properties of various quadrilaterals. It is aimed at students studying at level E (5-14). Where appropriate, follow up exercises are indicated for consolidation purposes.

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Monday, 13 April 2015 2Created by Mr.Lafferty Quadrilaterals Definition : Quadrilateral is “ A closed 4 sided linear shape” Shape is made up of 4 straight lines A few types of special quadrilaterals Square Trapezium Rectangle Rhombus Kite Parallelogram Quadrilateral

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Monday, 13 April 2015 3Created by Mr.Lafferty Starter Questions Q1.Solve the equation below Q2.Find all the missing angles Q3.Find the average of the numbers below Q4.Find aoao bobo 2,5,6,7,5,2,2,5,6,7,5,8

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Monday, 13 April 2015 4Created by Mr.Lafferty Quadrilaterals Definition : Quadrilateral is “ A closed 4 sided linear shape” Shape is made up of 4 straight lines A few types of special quadrilaterals Square Trapezium Rectangle Rhombus Kite Parallelogram

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Monday, 13 April 2015 5Created by Mr.Lafferty (b)Opposite sides are parallel The Square (e) Turn symmetry (a)4 sides are equal length (c)All angles are equal and are 90 o (d)It has 4 line of symmetry l l l l (f) Turn symmetry Exercise 1 Teejay Page 209 Properties of a square (g)If cut out it can fit back 8 different ways (h)Two diagonals are the same length (i)Diagonals bisect each other at 90 o (j)Diagonals bisect corner angles

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Monday, 13 April 2015 6Created by Mr.Lafferty Starter Questions Q1.Calculate Q2.Find all the missing angles Q3.List the prime numbers between 50 and 60 Q4.Find 105 o

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Monday, 13 April 2015 7Created by Mr.Lafferty (b)Opposite sides are parallel The Rectangle (e) Turn symmetry (a)Opposite sides have equal length (c)All angles are equal and are 90 o (d)It has 2 line of symmetry b b l l Properties of a rectangle Exercise 2 Teejay Page 210 (f)If cut out it can fit back 4 different ways (g)Diagonals are the same length (h)Diagonals bisect each other

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Monday, 13 April 2015 8Created by Mr.Lafferty Q3.Express the following percentages as fractions Starter Questions Q1.List 4 properties of a square. Q2.Simplify the following fraction Q4.Solve

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Monday, 13 April 2015 9Created by Mr.Lafferty Angles in a Quadrilateral IMPORTANT : The angles in a quadrilateral ALWAYS add up to 360 o C DA B We have split the quadrilateral into two triangles But for any triangle the sum of the angles is 180 0 Hence for the quadrilateral we have 2x180 o =360 o aoao coco bobo dodo

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Monday, 13 April 2015 10Created by Mr.Lafferty Angles in a Quadrilateral Question : Find the missing angle below. x y z w 34 o 100 o The four angles of a quadrilateral add to = 360 o Exercise 3 Teejay Page 213 yoyo

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Monday, 13 April 2015 11Created by Mr.Lafferty Q2.Find the mean and range of the numbers 3,4,5 Q3.Express the following decimals Starter Questions Q1.List 4 properties of a rectangle. Q4.Tidy up the following

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Monday, 13 April 2015 12Created by Mr.Lafferty (b)Opposite sides are parallel The Rhombus (e) Turn symmetry (a)All sides have equal length (c)Opposite angles are equal (d)It has 2 line of symmetry l l l l Properties of a rhombus (f)If cut out it can fit back 4 different ways (g)Diagonals bisect each other at 90 o (h)Diagonals bisect corner angles Exercise 4 Teejay Page 214

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Monday, 13 April 2015 13Created by Mr.Lafferty Starter Questions Q1.Calculate Q2.If 1 bar of chocolate costs 65p. How much will 1000 bars cost. Give your answer in £’s. Q3.A football player scores an average of 1.5 goals a game. How many goals should he score over 10 games. Q1.Find

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Monday, 13 April 2015 14Created by Mr.Lafferty (b)Left and right angles are the same The Kite (a)2 pairs of adjacent sides of equal length (c)It has 1 line of symmetry CA l1l1 l1l1 Properties of a kite (d)If cut out it can fit back 2 different ways (e)Only one diagonal bisects the other (f)Diagonals cross each other at 90 o (g)One diagonal bisect corner angles B D l2l2 l2l2 Exercise 1 Teejay Page 218

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Monday, 13 April 2015 15Created by Mr.Lafferty Starter Questions Q1.List 4 properties of a Rhombus Q2.How many seconds in 2 days Q3.Find the range and the mean of the numbers below Q4.Calculate 4,2,4,6,8,15,3

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Monday, 13 April 2015 16Created by Mr.Lafferty (b)Opposite pairs of sides are parallel The Parallelogram (d) Turn symmetry (a)Opposite pairs of sides have equal length (c)Opposite pairs of angles are equal (e)It has NO lines of symmetry C B Properties of a parallelogram (f)If cut out it can fit back 2 different ways (g)Diagonals bisect each other A D l1l1 l1l1 l2l2 l2l2 Exercise 1 Teejay Page 221

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Monday, 13 April 2015 17Created by Mr.Lafferty Starter Questions Q1.Which letter has half-turn symmetry Q2.Find all the missing angles Q1.Name 2 equilaterals that have all angles equal. Q1.Find 7 7 7

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Monday, 13 April 2015 18Created by Mr.Lafferty The Trapezium Has ONLY ONE property which is 1 pair of parallel lines Properties of a trapezium Exercise 1 Teejay Page 224

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Monday, 13 April 2015 19Created by Mr.Lafferty Ink Exercise Page 225 Topic in a Nutshell

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QUADRILATERALS. A plane shape with four straight sides is called a quadrilateral. We name quadrilaterals by looking at the properties of their sides.

QUADRILATERALS. A plane shape with four straight sides is called a quadrilateral. We name quadrilaterals by looking at the properties of their sides.

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