Difference between revisions of "Geogebra/C2/Understanding-Quadrilaterals-Properties/English-timed"

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||Welcome to this tutorial on Understanding Quadrilaterals Properties in Geogebra.
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||Welcome to this tutorial on '''Understanding Quadrilaterals Properties''' in '''Geogebra'''.
  
 
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||00:08
 
||00:08
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||Please note that the intention of this tutorial is not to replace the actual compass box
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||Please note that the intention of this tutorial is not to replace the actual compass box.
  
 
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||Construction in GeoGebra is done with a view to understand the properties.
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||Construction in Geogebra is done with a view to understand the properties.
  
 
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||00:30
 
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||In this tutorial, we will learn to construct quadrilaterals
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||In this tutorial, we will learn to construct quadrilaterals, simple quadrilateral and
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Simple quadrilateral and
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Quadrilateral with diagonals
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quadrilateral with diagonals. And also learn their properties.
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And also, learn their properties
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||00:42
 
||00:42
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||To record this tutorial I am using
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||To record this tutorial I am using:
  
 
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||00:45
 
||00:45
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||Linux operating system Ubuntu Version 11.10,
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||'''Linux operating system Ubuntu Version 11.10''', '''Geogebra Version 3.2.47'''.
  
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Geogebra Version 3.2.47
 
 
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||00:55
 
||00:55
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||We will use the following Geogebra tools for construction
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||We will use the following Geogebra tools for construction of:
  
 
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||01:00
 
||01:00
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||Circle with centre through point
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||* Circle with center through point
  
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Polygon
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* Polygon
  
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Angle
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* Angle
  
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Parallel line
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* Parallel line
  
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Segment between two points and
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* Segment between two points and
  
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Insert text
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* Insert text.
  
 
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||To do this click on Dash home, Media Applications.
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||To do this, click on Dash home, Media Applications.
  
 
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||01:35
 
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||Click on the drawing pad.
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||Click on the drawing pad. Point '''A''' as center.
  
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Point '''A''' as center.
 
 
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||01:38
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||And then click again we get point '''B'''.
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||And then click again, we get point '''B'''. The circle is complete.
  
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The circle is complete.
 
 
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||01:44
 
||01:44
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||Let us construct an another circle with center '''C''' which passes through '''D'''.
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||Let us construct another circle with center '''C''' which passes through '''D'''.
 
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||Then click again we get point '''D'''.
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||Then click again we get point '''D'''. The two circles intersect at two points.
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  The two circles intersect at two points.
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||02:00
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||Click on the '''Intersect Two Objects''' tool below the '''New Point'''  
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||Click on the '''Intersect Two Objects''' tool below the '''New Point'''.
  
 
Click on the points of intersection as '''E''' and '''F'''.
 
Click on the points of intersection as '''E''' and '''F'''.
 
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||Next, click '''Polygon''' tool
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||Next, click '''Polygon''' tool.
 
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||Let us now save the file. Click on '''File'''>> '''Save As'''
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||Let us now save the file. Click on '''File'''>> '''Save As'''.
 
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||02:48
 
||02:48
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||I will type the file name as '''simple-quadrilateral'''  click on '''Save'''.
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||I will type the file name as '''simple-quadrilateral''', click on '''Save'''.
 
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||Let's open a new Geogebra window,
 
||Let's open a new Geogebra window,
  
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click on '''File''' >> '''New'''
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click on '''File''' >> '''New'''.
 
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||03:16
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||Select the '''Segment between Two Points''' tool from the toolbar.
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||Select the '''Segment between Two Points''' tool from the toolbar to draw a segment.
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To draw a segment.
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||03:36
 
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||To do this click on the '''Circle with Centre through Point''' tool.
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||To do this, click on the '''Circle with Centre through Point''' tool.
 
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Click on '''File'''>> '''Save As'''.
 
Click on '''File'''>> '''Save As'''.
  
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I will type the filename as '''quadrilateral'''
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I will type the filename as '''quadrilateral''', click on '''Save'''.
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click on '''Save'''.
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*  Simple quadrilateral and
 
*  Simple quadrilateral and
  
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*  Quadrilateral with diagonals
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*  Quadrilateral with diagonals.
 
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||07:21
 
||07:21
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||As an assignment I would like you to Draw a line segment AB
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||As an assignment, I would like you to: Draw a line segment AB,
  
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Mark a point C above the line
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mark a point C above the line.
  
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Draw a parallel line to AB at C
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Draw a parallel line to AB at C.
  
 
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||07:33
 
||07:33
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||Draw two points D and E on the Parallel Line
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||Draw two points D and E on the parallel Line, join points AD and EB.
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Join points AD and EB.
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||07:43
 
||07:43
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||Draw perpendicular lines to segment AB from D and E
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||Draw perpendicular lines to segment AB from D and E.
  
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Mark the points F and G of the perpendicular lines on AB
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Mark the points F and G of the perpendicular lines on AB.
  
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Measure distance DE and height DF
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Measure distance DE and height DF.
  
 
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||08:11
 
||08:11
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||It summarises the Spoken Tutorial project
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||It summarizes the Spoken Tutorial project.
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If you do not have good bandwidth, you can download and watch it
+
If you do not have good bandwidth, you can download and watch it.
  
 
|-
 
|-
 
||08:18
 
||08:18
−
||The Spoken Tutorial Project Team  
+
||The Spoken Tutorial Project Team :
 
Conducts workshops using spoken tutorials
 
Conducts workshops using spoken tutorials
−
Gives certificates to those who pass an online test
+
Gives certificates to those who pass an online test.
  
 
|-
 
|-
 
||08:27
 
||08:27
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||For more details, please write to
+
||For more details, please write to contact@spoken-tutorial.org.
−
contact@spoken-tutorial.org
+
  
 
|-
 
|-
 
||08:34
 
||08:34
−
||The Spoken Tutorial Project is a part of the Talk to a Teacher project
+
||The Spoken Tutorial Project is a part of the Talk to a Teacher project.
−
It is supported by National Mission on Education through ICT, MHRD, Government of India
+
It is supported by National Mission on Education through ICT, MHRD, Government of India.
−
More information on this Mission is available at this link
+
More information on this Mission is available at this link:
  
  
 
|-
 
|-
 
||08:49
 
||08:49
−
||This is Madhuri Ganapathi from IIT Bombay signing off.
+
||This is Madhuri Ganapathi from IIT Bombay, signing off.
−
Thanks for joining
+
Thanks for joining.
  
  

Revision as of 15:02, 20 February 2015

Time Narration
00:00 Hello everybody.
00:02 Welcome to this tutorial on Understanding Quadrilaterals Properties in Geogebra.
00:08 Please note that the intention of this tutorial is not to replace the actual compass box.
00:14 Construction in Geogebra is done with a view to understand the properties.
00:19 We assume that you have the basic working knowledge of Geogebra.
00:24 If not, please visit the spoken tutorial website for the relevant tutorials on Geogebra.
00:30 In this tutorial, we will learn to construct quadrilaterals, simple quadrilateral and

quadrilateral with diagonals. And also learn their properties.

00:42 To record this tutorial I am using:
00:45 Linux operating system Ubuntu Version 11.10, Geogebra Version 3.2.47.
00:55 We will use the following Geogebra tools for construction of:
01:00 * Circle with center through point
  • Polygon
  • Angle
  • Parallel line
  • Segment between two points and
  • Insert text.
01:10 Let's switch on to the new Geogebra window.
01:13 To do this, click on Dash home, Media Applications.
01:17 Under Type, Education and Geogebra.
01:25 Let us now construct a circle with center A and which passes through point B.
01:30 To do this, click on the Circle with Center through Point tool from the toolbar.
01:35 Click on the drawing pad. Point A as center.
01:38 And then click again, we get point B. The circle is complete.
01:44 Let us construct another circle with center C which passes through D.
01:49 Click on the drawing pad. It shows point C.
01:53 Then click again we get point D. The two circles intersect at two points.
02:00 Click on the Intersect Two Objects tool below the New Point.

Click on the points of intersection as E and F.

02:10 Next, click Polygon tool.
02:16 Click on the points 'A', 'E', 'C', 'F' and 'A' once again.

Here a quadrilateral is drawn.

02:32 We can see from the Algebra View that 2 pairs of adjacent sides are equal.
02:38 Do you know why? Can you figure out the name of this quadrilateral?
02:43 Let us now save the file. Click on File>> Save As.
02:48 I will type the file name as simple-quadrilateral, click on Save.
03:04 Let us now construct a Quadrilateral with diagonals.
03:08 Let's open a new Geogebra window,

click on File >> New.

03:16 Select the Segment between Two Points tool from the toolbar to draw a segment.
03:23 Click on the drawing pad, point 'A' and then on 'B'.

Segment AB is drawn.

03:30 Let's construct a circle with center A and which passes through point B.
03:36 To do this, click on the Circle with Centre through Point tool.
03:40 Click on the point A as centre and then on point B.

Select the New Point tool, from the toolbar.

click on the circumference as point c.

03:57 Let us join 'A' and 'C'.

Select the Segment between Two Points tool

04:03 Click on the points A and C.

Let's now construct a parallel line to segment AB which passes through point C.

04:13 To do this select the Parallel Line tool from the toolbar.

Click on the point C

and then on segment AB.

04:25 We repeat the process for the point B.

Click on the point B

and then on segment AC.

04:33 Notice that the parallel line to segment AB

and parallel line to segment AC intersect at a point.

Let's mark the point of intersection as 'D'.

04:47 Next using the “Segment between Two Points” tool,

let's connect the points

'A' 'D', 'B' 'C'

05:01 We see that a Quadrilateral ABCD with diagonals AD and BC is drawn.
05:09 The diagonals intersect at a point.

Let us mark the point of intersection as E.

05:20 Using the “Distance” tool,

let's check whether the diagonals bisect each other

05:25 Under the “Angle” tool, click on the Distance or Length tool.
05:30 Click on the points A, E, E, D, C, E, E, B
05:47 Next, we will check whether the diagonals are perpendicular bisectors.
05:51 To measure the angle, click on the Angle tool.

Click on the points A,E,C C,E,D.

06:08 Let us now select the Move tool from the toolbar.

Use the Move tool to move the point A.

06:16 Click on the 'Move' tool,

place the mouse pointer on 'A' and drag it with the mouse.

Notice that the diagonals always bisect each other

and are perpendicular bisectors.

06:35 Let us save the file now.

Click on File>> Save As.

I will type the filename as quadrilateral, click on Save.

06:53 With this we come to the end of this tutorial.

Let us summarize.

07:01 In this tutorial, we have learnt to construct quadrilaterals using the tools -
07:06 'Circle with centre through point', 'Polygon', 'Angle',

'Parallel line', 'Segment between two points' and 'Insert Text'

07:15 We also learnt the properties of
  • Simple quadrilateral and
  • Quadrilateral with diagonals.
07:21 As an assignment, I would like you to: Draw a line segment AB,

mark a point C above the line.

Draw a parallel line to AB at C.

07:33 Draw two points D and E on the parallel Line, join points AD and EB.
07:43 Draw perpendicular lines to segment AB from D and E.

Mark the points F and G of the perpendicular lines on AB.

Measure distance DE and height DF.

08:01 The output of the assignment should look like this.
08:08 Watch the video available at this url.
08:11 It summarizes the Spoken Tutorial project.

If you do not have good bandwidth, you can download and watch it.

08:18 The Spoken Tutorial Project Team :

Conducts workshops using spoken tutorials Gives certificates to those who pass an online test.

08:27 For more details, please write to contact@spoken-tutorial.org.
08:34 The Spoken Tutorial Project is a part of the Talk to a Teacher project.

It is supported by National Mission on Education through ICT, MHRD, Government of India. More information on this Mission is available at this link:


08:49 This is Madhuri Ganapathi from IIT Bombay, signing off.

Thanks for joining.


Contributors and Content Editors

Madhurig, Minal, PoojaMoolya, Pratik kamble, Sandhya.np14

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