Madhurig at 09:49, 18 December 2013

2013-12-18T09:49:22Z

Chandrika: Created page with 'Title of script: Understanding Quadrilateral properties Author: Madhuri Ganapathi Keywords: video tutorial [http://spoken-tutorial.org/wiki/index.php/File:Quadrilateral_proper…'

2012-11-27T08:33:43Z

Created page with 'Title of script: Understanding Quadrilateral properties Author: Madhuri Ganapathi Keywords: video tutorial [http://spoken-tutorial.org/wiki/index.php/File:Quadrilateral_proper…'

New page

Title of script: Understanding Quadrilateral properties

Author: Madhuri Ganapathi

Keywords: video tutorial

[http://spoken-tutorial.org/wiki/index.php/File:Quadrilateral_properties.tar.gz Click here for Slides]

{|border =1
!Visual Cue
!Narration
|-
||Slide Number 1
||

Hello everybody.

Welcome to this spoken tutorial on Understanding Quadrilaterals Properties in Geogebra.

|-
||Slide Number 2
Note

||The intention of this tutorial is not to replace the actual compass box

Construction in GeoGebra is done with the view to understand the properties.
|-

||Slide number 3

Pre-requisites
||
We assume that you have the basic working knowledge of Geogebra.

If not, please visit the spoken tutorial website for relevant tutorials on Geogebra.
|-
||
Slide number 4

Learning Objectives
||In this tutorial, we will learn to construct quadrilaterals

* Simple quadrilateral

* Quadrilateral with diagonals

* Also, learn their properties

|-
||Slide Number 5

System Requirement
||
To record this tutorial I am using

Linux operating system Ubuntu Version 11.10 LTS

Geogebra Version 3.2.47.0
|-
||Slide Number 6

GeoGebra Tools used in this tutorial
||
We will use the following tools of Geogebra for construction

* Circle with centre through point

* Polygon

* Angle

* Parallel line

* Segment between two points

* Insert text

|-
||Switch to geogebra window
Dash home >>Media Apps>>

Under Type>>Education>>Geogebra
||Let's open a new Geogebra window.
To do this click on Dash home and Media Apps.

Under Type click on Education and then Geogebra.

|-

||Click on “Circle with Centre through Point” tool >>
Construct a circle

|| Let's construct a circle with center 'A' which passes through point 'B'.

To do this, click on the “Circle with Center through Point” tool from toolbar.

|-
||Click on the drawing pad.
||Click on the drawing pad.
Point 'A' is the center.
|-
||Click a little away from point A.
||Then click again and we get point 'B'.
The circle is complete.
|-
||Construct circle with center C which passes through D>>

click point C on >>then point D
||Let's construct another circle with center 'C' which passes through 'D'.

Click on the drawing pad.
It shows point 'C' as the centre.
|-
||Click a little away from point C such that

the new circle intersects with the previous circle.
||Then click again and we get point 'D'.
|-
||Point to the intersection points.
||The circles intersect at two points.
|-
||Click “New Tool” >> select “Intersect Two Objects”
||Click the “Intersect Two Objects” tool under “New Point”.
|-
||Mark the points of intersection.
||Mark the points of intersection as 'E' and 'F'.
|-
||Click on polygon tool
||Next, click on the “Polygon” tool.
|-
||Click on the points A E C F and A again.
||
Click on the points 'A', 'E', 'C', 'F' and 'A' again.

A simple quadrilateral is drawn.
|-
||Point to the “Algebra View” panel.

||We can see from “Algebra View” that 2 pairs of adjacent sides are equal.

Do you know why?
Can you figure out the name of the quadrilateral?
|-
|| Click on "Save As" >> type "simple_quadrilateral" in file
name >> click on save
||
Let us save this file now.
Click on “File”>> "Save As".

I will type the file name as "simple-quadrilateral" and click on “Save”.
|-
||
Click on File>>New
||
Next, let us construct a Quadrilateral with diagonals.

Let's open a new Geogebra window,

by clicking on “File” and ”New ”
|-
||Click segment between two points tool>>draw AB
||Let's draw a segment first.

Select “Segment between Two Points” tool from the toolbar.

On the drawing pad, mark points 'A' and 'B'.

Segment 'AB' is drawn.
|-
||Construct a circle with center 'A' >> through point 'B'.
||
Let's construct a circle with center 'A' which passes through point 'B'.
|-
||Click on the “Circle with Centre through Point” tool
||
To do this click on the “Circle with Centre through Point” tool.
|-
||Click on point 'A' and then on 'B'.
||Click on point 'A' then click on 'B'.
|-
||Click on “New Point” tool >> Mark point 'C' on the circumference
||Using the “New Point” tool,

let's mark a point 'C' on the circumference of the circle.
|-
||Click segment between two points>> connect 'AC'
||Next, using the “Segment between Two Points” tool,

join the points 'A' and 'C'.
|-
||
||Let's construct a parallel line to segment 'AB' which passes through 'C'.
|-
||Click “Parallel Line” tool

||Select the "Parallel Line" tool from the toolbar.
|-
||Click on point C and segment AB.
||First click on point 'C'

and then click on segment 'AB'.
|-
|| Click “Parallel Line” tool>>click on point B and segment AC.
||Let us repeat the process for point 'B'.

Click on point 'B'

and then click on segment 'AC'.
|-
||Point to the intersection point >> mark point D
||Notice that the parallel line to segment 'AB'

and the parallel line to segment AC intersect at a point.

Let's mark the point of intersection as 'D'.
|-
||Click “segment between two points” tool >> Connect the points
||Using the “Segment between Two Points”,

let's connect the points
'A'&'D', 'B'&'C'

A Quadrilateral ABCD with diagonals AD and BC is drawn.
|-
||diagonals intersect at point >>mark the point of intersection
||Diagonals intersect at a point.

Let us mark the point as 'E'.
|-
||
||Using “Distance or Length” tool,

let's check whether the diagonals bisect each other.
|-
||Click on “Angle” tool >> “Distance or Length” tool.
||Under “Angle”, click on the “Distance or Length” tool.
|-
||Click on the points A, E and E, D

Click on the points C, E and E, B
||Now, click on the points A, E and E, D

And then click on the points C, E and E, B
|-
||
||Next, we will check whether the diagonals are perpendicular bisectors.
|-
||Click “Angle” tool>>measure the angles AEC and CED
||
To measure the angle, click on the “Angle” tool.

Now, click on the points AEC and then CED
|-
||Select the “Move” tool from the toolbar
||Let's select the “Move” tool from the toolbar.
|-
||Use the “Move” tool to move point 'A'.
||Use the “Move” tool to move point 'A'.
|-
||Properties
||Notice that the diagonals always bisect each other

and are also perpendicular bisectors.
|-
|| Click on "Save As" >> type "quadrilateral" in filename

>> click on save

||Lets save this file now.

Click on “File”>> "Save As".

I will type the filename as "quadrilateral"

click on “Save”.
|-
||Slide Number 6
Summary
||
Lets summarize.

In this tutorial we learnt to construct quadrilaterals
using the following tools -

Circle with centre through point, Polygon, Angle,

Parallel line, Segment between two points, Insert text

We also learnt the properties of

* Simple quadrilateral

* Quadrilateral with diagonals
|-
|| Slide number 7
Assignment
||
To practice-
Draw a line segment AB

Mark a point C above the line

Draw a parallel line to AB at C

Mark two points D and E on the Parallel Line

Join points AD and EB , making a trapezium ADEB

Draw perpendicular lines to segment AB from D and E

Mark the points of intersection F and G of the perpendicular lines and AB

Measure distance DE and height DF
|-
||Show the output of the Assignment
||The output should look like this.
|-
||Slide number 8
Acknowledgement
||
Watch the video available at
http://spoken-tutorial.org/What is a Spoken Tutorial

It summarises the Spoken Tutorial project

If you do not have good bandwidth, you can download
and watch it
|-
||
||The Spoken Tutorial Project Team :

Conducts workshops using spoken tutorials

Gives certificates to those who pass an online test

For more details, please write to

contact@spoken-tutorial.org
|-
||
||Spoken Tutorial Project is a part of the Talk to a Teacher project

It is supported by the National Mission on Education through ICT, MHRD, Government of India

More information on this Mission is available at

http://spoken-tutorial.org/NMEICT-Intro ]

This is Madhuri Ganapathi from IIT Bombay signing off.

Thanks for joining
|-

@@ Line 3: / Line 3: @@
 Author: Madhuri Ganapathi
-Keywords: video tutorial
+Keywords: Polygon, Angle, Parallel line, Segment between two points, Insert text, “Distance or Length” tool, New Point, Algebra View,  Quadrilaterals,  video tutorial
 [http://spoken-tutorial.org/wiki/index.php/File:Quadrilateral_properties.tar.gz Click here for Slides]

Geogebra/C2/Understanding-Quadrilaterals-Properties/English - Revision history

Madhurig at 09:49, 18 December 2013

Chandrika: Created page with 'Title of script: Understanding Quadrilateral properties Author: Madhuri Ganapathi Keywords: video tutorial [http://spoken-tutorial.org/wiki/index.php/File:Quadrilateral_proper…'