Monday, 13 April 2015 1Created by Mr.Lafferty Level E Quadrilaterals This presentation will cover...

Tuesday 18 April 2023 1Created by Mr.Lafferty

Level E Level E QuadrilateralsQuadrilaterals

This presentation will cover the basic propertiesof various quadrilaterals. It is aimed at students

studying at level E (5-14).

Where appropriate, follow up exercises are indicated for consolidation purposes.


QuadrilateralsQuadrilaterals

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


Starter QuestionsStarter Questions

21 32x Q1. Solve the equation below

Q2. Find all the missing angles

Q3. Find the average of the numbers below

Q4. Find

ao

bo

2,5,6,7,5,2,2,5,6,7,5,8

30% of £ 240


QuadrilateralsQuadrilaterals

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


(b) Opposite sides are parallel

The SquareThe Square

(e) Turn symmetry 12

4Perimeter l l l l l

(a) 4 sides are equal length

(c) All angles are equal and are 90o

(d) It has 4 line of symmetry

ll

l

l

(f) Turn symmetry 14

2Area l l l

Exercise 1 Teejay Page 209

Properties of a squareProperties 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 90o

(j) Diagonals bisect corner angles



540 9Q1. Calculate


Q3. List the prime numbers between 50 and 60

Q4. Find

105o

15% of £ 400



The RectangleThe Rectangle


2 2Perimeter l b l b l b

(a) Opposite sides have equal length

(c) All angles are equal and are 90o

(d) It has 2 line of symmetry

bb

l

l

Area length breadth l b

Properties of a rectangleProperties of a rectangle


(f) If cut out it can fit back 4 different ways

(g) Diagonals are the same length

(h) Diagonals bisect each other


Q3. Express the following percentages as fractions


35100

2 4 22x

Q1. List 4 properties of a square.

Q2. Simplify the following fraction

Q4. Solve

( ) 25% (b) 12.5%a


Angles in a QuadrilateralAngles in a Quadrilateral

and ABC ACD

IMPORTANT : The angles in a quadrilateral ALWAYS add up to 360o

C

DA

BWe 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 2x180o=360

o

ao

cob

o

do

360o o o o oa b c d


Angles in a QuadrilateralAngles in a Quadrilateral

90 34 100 360o o o o oy

360 224o o oy

Question : Find the missing angle below.

x

yz

w

34o

100o

The four angles of a quadrilateral add to = 360o


136o oyy

o


Q2. Find the mean and range of the numbers 3,4,5

Q3. Express the following decimals


2 2 22 4 6 5 3 x x x x y y

Q1. List 4 properties of a rectangle.

Q4. Tidy up the following

( ) 25% (b) 12.5%a



The RhombusThe Rhombus


(a) All sides have equal length

(c) Opposite angles are equal

(d) It has 2 line of symmetryl

l

l

l

Properties of a rhombusProperties of a rhombus


(g) Diagonals bisect each other at 90o

(h) Diagonals bisect corner angles




182 6 4

2 Q1. Calculate

Q2. If 1 bar of chocolate costs 65p. How much will1000 bars cost. Give your answer in £’s.

Q3. A football player scores an average of 1.5 goalsa game. How many goals should he score over 10 games.

Q1. Find60% of £ 300


(b) Left and right angles are the same

The KiteThe Kite

(a) 2 pairs of adjacent sides of equal length

(c) It has 1 line of symmetry

CA

l1l1 Properties of a kiteProperties 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 90o

(g) One diagonal bisect corner angles

B

D

l2l2




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

a = -2 , b = -3 c = 6a b c


(b) Opposite pairs of sides are parallel

The ParallelogramThe Parallelogram

(d) Turn symmetry 12

(a) Opposite pairs of sides have equal length

(c) Opposite pairs of angles are equal

(e) It has NO lines of symmetry

CB

Properties of a parallelogramProperties of a parallelogram


(g) Diagonals bisect each other

A Dl1

l1

l2l2




A , C , H , P

Q1. Which letter has half-turn symmetry


Q1. Name 2 equilaterals that have all angles equal.

Q1. Find3

of £ 2005

7

7

7


The The TrapeziumTrapezium

Has ONLY ONE property which is

1 pair of parallel lines

Properties of a trapeziumProperties of a trapezium



Ink ExerciseInk Exercise

Page 225

Topic in a Nutshell

Monday, 13 April 2015 1Created by Mr.Lafferty Level E Quadrilaterals This presentation will cover...

Documents

Transcript of Monday, 13 April 2015 1Created by Mr.Lafferty Level E Quadrilaterals This presentation will cover...