Madhurig at 08:00, 18 December 2013

2013-12-18T08:00:29Z

Nancyvarkey: moved Geogebra/C3/Relationship-between-different-Geometric-Figures/English to Geogebra/C3/Relationship-between-Geometric-Figures/English: Name too long

2013-12-17T16:02:12Z

moved Geogebra/C3/Relationship-between-different-Geometric-Figures/English to Geogebra/C3/Relationship-between-Geometric-Figures/English: Name too long

Chandrika: Created page with 'Title of script: Relationship between different Geometric Figures Author: Madhuri Ganapathi Keywords: video tutorial [http://spoken-tutorial.org/wiki/index.php/File:Relations…'

2012-11-27T12:08:29Z

Created page with 'Title of script: Relationship between different Geometric Figures Author: Madhuri Ganapathi Keywords: video tutorial [http://spoken-tutorial.org/wiki/index.php/File:Relations…'

New page

Title of script: Relationship between different Geometric Figures

Author: Madhuri Ganapathi

Keywords: video tutorial

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

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

Welcome to the Geogebra tutorial on Relationship between different Geometric Figures in Geogebra

We assume that you have the basic working knowledge of Geogebra.

If not, please go through the “Introduction to Geogebra” tutorial before proceeding further.
|-
||Slide Number 2

||Please note that the intention to teach 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
Learning objectives
||In this tutorial we will learn to construct

Cyclic quadrilateral

In-circle
|-
||Slide Number 4

System Requirement
||To record this tutorial I am using
Linux operating system

Ubuntu Version 10.04 LTS

Geogebra Version 3.2.40.0
|-
||Slide Number 5
GeoGebra Tools used in this tutorial
||
We will use the following tools of Geogebra for the construction
* compass

* segment between two points

* circle with center through point

* polygon

* perpendicular bisector

* angle bisector

* angle
|-
||Switch to Geogebra window
Applications>>Education>>Geogebra
||Let us open the Geogebra window.

Let us now construct a cyclic quadrilateral.

|-
||Click regular polygon tool >> default value 4 >>

click OK >> construct square
||
Using the “regular polygon” tool click on any two points on the drawing pad.

A dialog box will open with a default value '4'.

click on OK.

A square 'ABCD' is constructed
|-
||Click move tool>> tilt to angle angle
||Using “move” tool

tilt the square to 45^0(degree) angle.

To do this place, the mouse pointer on 'A' or 'B'
|-
||Click perpendicular bisector tool>>click point 'A' and 'B'
||To construct a perpendicular bisector on segment 'AB'

Select “perpendicular bisector” tool,

click on point 'A'

and then on 'B'
|-
||Click perpendicular bisector tool>>click segment 'BC'
||To construct the perpendicular bisector on 'BC',

we will follow the same process.

Select “perpendicular bisector” tool,

click on point 'B'

and then on 'C'
|-
||Point to the intersection point>> mark point as 'E'

||The two perpendicular bisectors intersect at a point .

Let us mark it as 'E'
|-
||Click compass tool>> construct circle
||Using the “compass” tool,

draw a circle with centre as 'E' which passes through C .

The circle will pass through all the vertices of the quadrilateral

Did you know , the cyclic quadrilateral has maximal area among all quadrilaterals having the same sequence of side lengths
|-
||Click on file>>Click on "Save As" >>
type "cyclic_quadrilateral" in file name >> click on OK.

||Lets save this file now.

Click on file then on "Save As".

I will type the file name as "cyclic_quadrilateral"

and click on save
|-
||Click File>> New window
||Let us now construct an incircle.

I will open a new geogebra window
|-
||Click polygon tool>> draw triangle
||Using the “polygon” tool

click three points on the drawing pad

and draw a triangle 'ABC'
|-
||
Click angle tool >> measure the angles
||Select the “angle” tool and measure the angles 'BAC' , 'CBA' and 'ACB'.

click the points in the same direction.
|-
||Draw angle bisectors >> to angles 'BAC' and 'CBA
||Lets draw angle bisectors to angles 'BAC' and 'CBA' using “angle bisector” tool
|-
||Hover the mouse on Point of intersection
||The two angle bisectors intersect at point .

Mark this point as 'D' .
|-
|| click "perpendicular line” tool>>draw perpendicular line
||Using “perpendicular line” tool

draw a perpendicular line through 'AB' which passes through 'D'
|-
||Lines meet at 'E'
||The perpendicular line intersects 'AB' .

Mark it as 'E'
|-
||Compass tool>>draw circle
||
Using the “compass” tool

let us draw a circle with radius 'DE' .

An in-circle is drawn.

With this we come to an end of this tutorial
|-
||Slide number 6
summary
||In this tutorial we have learnt to draw

cyclic quadrilateral and

In-circle
|-
||Slide Number 7
Assignment
||Draw triangle ABC

M a point D on BC and join AD

Draw in-circles for each triangles ABC, ABD and CBD of radii r, r1 and r2 resp.

BE is the height h

verify the relationship between r1,r2 and r as
(1 -2r1/h)*(1 - 2r2/h) = (1 -2r/h) by moving the vertices of the Triangle ABC
|-
||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, contact
sptutemail@gmail.com
|-
||
||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
|-
||Slide Number 9
About the Contributor
||This is Madhuri Ganapathi from IIT Bombay signing off
|-

@@ Line 1: / Line 1: @@
-Title of script: Relationship between different Geometric Figures
+Title of script: Relationship between Geometric Figures
 Author: Madhuri Ganapathi
-Keywords: video tutorial
+Keywords:  Cyclic quadrilateral, Incircle, Compass, Segment between two points, Circle with center through point, Polygon, Perpendicular bisector,
 [http://spoken-tutorial.org/wiki/index.php/File:Relationship_between_different_Geometrical_Figures.tar.gz Click here for Slides]

← Older revision	Revision as of 16:02, 17 December 2013
(No difference)

Geogebra/C3/Relationship-between-Geometric-Figures/English - Revision history

Madhurig at 08:00, 18 December 2013

Nancyvarkey: moved Geogebra/C3/Relationship-between-different-Geometric-Figures/English to Geogebra/C3/Relationship-between-Geometric-Figures/English: Name too long

Chandrika: Created page with 'Title of script: Relationship between different Geometric Figures Author: Madhuri Ganapathi Keywords: video tutorial [http://spoken-tutorial.org/wiki/index.php/File:Relations…'