1. 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

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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

11. 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