Level E Quadrilaterals This presentation will cover the basic properties of various quadrilaterals. Where appropriate, follow up exercises are indicated for consolidation purposes. Friday, 21 April 2017 Created by Mr.Lafferty

Shape is made up of 4 straight lines Quadrilaterals Definition : Quadrilateral is “ A closed 4 sided linear shape” A few types of special quadrilaterals Rectangle Square Quadrilateral Kite Rhombus Parallelogram Trapezium Friday, 21 April 2017 Created by Mr.Lafferty

Shape is made up of 4 straight lines Quadrilaterals Definition : Quadrilateral is “ A closed 4 sided linear shape” A few types of special quadrilaterals Rectangle Square Kite Rhombus Parallelogram Trapezium Friday, 21 April 2017 Created by Mr.Lafferty

The Square Properties of a square l (a) 4 sides are equal length l l (b) Opposite sides are parallel (c) All angles are equal and are 90o (d) It has 4 line of symmetry (e) Turn symmetry l (f) Turn symmetry (g) If cut out it can fit back 8 different ways (h) Two diagonals are the same length (i) Diagonals bisect each other at 90o (j) Diagonals bisect corner angles Friday, 21 April 2017 Created by Mr.Lafferty

The Rectangle Exercise 2 Teejay Page 210 Properties of a rectangle l (a) Opposite sides have equal length b b (b) Opposite sides are parallel (c) All angles are equal and are 90o (d) It has 2 line of symmetry l (e) Turn symmetry (f) If cut out it can fit back 4 different ways (g) Diagonals are the same length (h) Diagonals bisect each other Exercise 2 Teejay Page 210 Friday, 21 April 2017 Created by Mr.Lafferty

Angles in a Quadrilateral IMPORTANT : The angles in a quadrilateral ALWAYS add up to 360o B C bo co We have split the quadrilateral into two triangles But for any triangle the sum of the angles is 1800 ao do A D Hence for the quadrilateral we have 2x180o=360o Friday, 21 April 2017 Created by Mr.Lafferty

Angles in a Quadrilateral Question : Find the missing angle below. The four angles of a quadrilateral add to = 360o w x 34o 100o yo z y Exercise 3 Teejay Page 213 Friday, 21 April 2017 Created by Mr.Lafferty

The Rhombus Exercise 4 Teejay Page 214 Properties of a rhombus l (a) All sides have equal length (b) Opposite sides are parallel (c) Opposite angles are equal l l (d) It has 2 line of symmetry (e) Turn symmetry (f) If cut out it can fit back 4 different ways (g) Diagonals bisect each other at 90o (h) Diagonals bisect corner angles Exercise 4 Teejay Page 214 Friday, 21 April 2017 Created by Mr.Lafferty

The Kite Exercise 1 Teejay Page 218 B l1 l1 Properties of a kite (a) 2 pairs of adjacent sides of equal length A C (b) Left and right angles are the same (c) It has 1 line of symmetry l2 l2 (d) If cut out it can fit back 2 different ways D (e) Only one diagonal bisects the other (f) Diagonals cross each other at 90o (g) One diagonal bisect corner angles Exercise 1 Teejay Page 218 Friday, 21 April 2017 Created by Mr.Lafferty

The Parallelogram Exercise 1 Teejay Page 221 Properties of a parallelogram l1 B C (a) Opposite pairs of sides have equal length (b) Opposite pairs of sides are parallel l2 l2 (c) Opposite pairs of angles are equal (d) Turn symmetry D A l1 (e) It has NO lines of symmetry (f) If cut out it can fit back 2 different ways (g) Diagonals bisect each other Exercise 1 Teejay Page 221 Friday, 21 April 2017 Created by Mr.Lafferty

Has ONLY ONE property which is The Trapezoid Properties of a trapezoid Has ONLY ONE property which is 1 pair of parallel lines Exercise 1 Teejay Page 224 Friday, 21 April 2017 Created by Mr.Lafferty