Level E Quadrilaterals

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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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Quadrilaterals
Shape is made up of 4 straight lines
Definition Quadrilateral is A closed 4 sided
linear shape
A few types of special quadrilaterals
Quadrilateral
Square
Kite
Rhombus
Trapezium
Parallelogram
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Starter Questions
Q1. Solve the equation below
ao
Q2. Find all the missing angles
bo
Q3. Find the average of the numbers below
2,5,6,7,5,2,2,5,6,7,5,8
Q4. Find
4
Quadrilaterals
Shape is made up of 4 straight lines
Definition Quadrilateral is A closed 4 sided
linear shape
A few types of special quadrilaterals
Square
Kite
Rhombus
Trapezium
Parallelogram
5
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
l
(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
Exercise 1 Teejay Page 209
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Starter Questions
Q1. Calculate
105o
Q2. Find all the missing angles
Q3. List the prime numbers between 50 and 60
Q4. Find
7
The Rectangle
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
(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
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Starter Questions
Q1. List 4 properties of a square.
Q2. Simplify the following fraction
Q3. Express the following percentages as fractions
Q4. Solve
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Angles in a Quadrilateral
IMPORTANT The angles in a quadrilateral ALWAYS
add up to 360o
C
B
bo
co
We have split the quadrilateral into two triangles
But for any triangle the sum of the angles is
1800
do
ao
D
A
Hence for the quadrilateral we have 2x180o360o
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Angles in a Quadrilateral
Question Find the missing angle below.
The four angles of a quadrilateral add to 360o
x
w
34o
100o
yo
z
y
Exercise 3 Teejay Page 213
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Starter Questions
Q1. List 4 properties of a rectangle.
Q2. Find the mean and range of the numbers 3,4,5
Q3. Express the following decimals
Q4. Tidy up the following
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The Rhombus
Properties of a rhombus
l
(a) All sides have equal length
l
(b) Opposite sides are parallel
(c) Opposite angles are equal
l
l
(d) It has 2 line of 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
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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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The Kite
B
Properties of a kite
l1
l1
(a) 2 pairs of adjacent sides of equal length
C
A
(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
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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
4,2,4,6,8,15,3
Q4. Calculate
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The Parallelogram
Properties of a parallelogram
l1
B
(a) Opposite pairs of sides have equal length
C
(b) Opposite pairs of sides are parallel
l2
l2
(c) Opposite pairs of angles are equal
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
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Starter Questions
Q1. Which letter has half-turn symmetry
7
7
Q2. Find all the missing angles
7
Q1. Name 2 equilaterals that have all angles
equal.
Q1. Find
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The Trapezium
Properties of a trapezium
Has ONLY ONE property which is 1 pair of
parallel lines
Exercise 1 Teejay Page 224
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Ink Exercise
Topic in a Nutshell
Page 225