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

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|-
 
|-
 
||01:25
 
||01:25
−
||Let us now construct a circle with center 'A' and which passes through point 'B'.
+
||Let us now construct a circle with center '''A''' and which passes through point '''B'''.
  
 
|-
 
|-
 
||01:30
 
||01:30
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||To do this, click on the “Circle with Center through Point” tool from the toolbar.
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||To do this, click on the '''Circle with Center through Point''' tool from the toolbar.
  
 
|-
 
|-
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||Click on the drawing pad.
 
||Click on the drawing pad.
  
−
Point 'A' as center.
+
Point '''A''' as center.
 
|-
 
|-
 
||01:38
 
||01:38
−
||And then click again we get point 'B'.
+
||And then click again we get point '''B'''.
  
 
The circle is complete.
 
The circle is complete.
 
|-
 
|-
 
||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 an another circle with center '''C''' which passes through '''D'''.
 
|-
 
|-
 
||01:49
 
||01:49
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||Click on the drawing pad. It shows point 'C'.
+
||Click on the drawing pad. It shows point '''C'''.
 
|-
 
|-
 
||01:53
 
||01:53
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||Then click again we get point 'D'.
+
||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
 
||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'''
  
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Click on the points of intersection as 'E' and 'F'.
+
Click on the points of intersection as '''E''' and '''F'''.
 
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|-
 
||02:10
 
||02:10
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||Next, click “Polygon” tool
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||Next, click '''Polygon''' tool
 
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||02:16
 
||02:16
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|-
 
||02:32
 
||02:32
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||We can see from the “Algebra View” that 2 pairs of adjacent sides are equal.
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||We can see from the '''Algebra View''' that 2 pairs of adjacent sides are equal.
 
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||02:38
 
||02:38
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|-
 
|-
 
||02:43
 
||02:43
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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'''
 
|-
 
|-
 
||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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|-
 
||03:04
 
||03:04
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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'''
 
|-
 
|-
 
||03:16
 
||03:16
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||Select the “Segment between Two Points” tool from the toolbar.
+
||Select the '''Segment between Two Points''' tool from the toolbar.
  
 
To draw a segment.
 
To draw a segment.
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||Click on the drawing pad, point 'A' and then on 'B'.
 
||Click on the drawing pad, point 'A' and then on 'B'.
  
−
Segment 'AB' is drawn.
+
Segment '''AB''' is drawn.
 
|-
 
|-
 
||03:30
 
||03:30
−
||Let's construct a circle with center 'A' and which passes through point 'B'.
+
||Let's construct a circle with center '''A''' and which passes through point '''B'''.
 
|-
 
|-
 
||03:36
 
||03:36
−
||To do this click on the “Circle with Centre through Point” tool.
+
||To do this click on the '''Circle with Centre through Point''' tool.
 
|-
 
|-
 
||03:40
 
||03:40
−
||Click on the point 'A' as centre and then on point 'B'.  
+
||Click on the point '''A''' as centre and then on point '''B'''.  
  
−
Select the “New Point” tool, from the toolbar.
+
Select the '''New Point''' tool, from the toolbar.
  
−
click on the circumference as point 'c'.
+
click on the circumference as point '''c'''.
 
|-
 
|-
 
||03:57
 
||03:57
 
||Let us join 'A' and 'C'.
 
||Let us join 'A' and 'C'.
  
−
Select the “Segment between Two Points” tool  
+
Select the '''Segment between Two Points''' tool  
 
|-
 
|-
 
||04:03
 
||04:03
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||Click on the points 'A' and 'C'.
+
||Click on the points '''A''' and '''C'''.
  
−
Let's now construct a parallel line to segment 'AB' which passes through point 'C'.
+
Let's now construct a parallel line to segment '''AB''' which passes through point '''C'''.
 
|-
 
|-
 
||04:13
 
||04:13
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||To do this select the "Parallel Line" tool from the toolbar.
+
||To do this select the '''Parallel Line''' tool from the toolbar.
  
−
Click on the point 'C'
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Click on the point '''C'''
  
−
and then on segment 'AB'.
+
and then on segment '''AB'''.
 
|-
 
|-
 
||04:25
 
||04:25
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||We repeat the process for the point 'B'.
+
||We repeat the process for the point '''B'''.
  
−
Click on the point 'B'
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Click on the point '''B'''
  
−
and then on segment 'AC'.
+
and then on segment '''AC'''.
 
|-
 
|-
 
||04:33
 
||04:33
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||Notice that the parallel line to segment 'AB'
+
||Notice that the parallel line to segment '''AB'''
  
 
and parallel line to segment AC intersect at a point.
 
and parallel line to segment AC intersect at a point.
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||The diagonals intersect at a point.
 
||The diagonals intersect at a point.
  
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Let us mark the point of intersection as 'E'.
+
Let us mark the point of intersection as '''E'''.
 
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||05:20
 
||05:20
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||05:25
 
||05:25
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||Under the “Angle” tool, click on the “Distance or Length” tool.
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||Under the “Angle” tool, click on the '''Distance or Length''' tool.
  
 
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|-
 
|-
 
||05:51
 
||05:51
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||To measure the angle, click on the “Angle” tool.
+
||To measure the angle, click on the '''Angle''' tool.
  
 
Click on the points A,E,C    C,E,D.
 
Click on the points A,E,C    C,E,D.
 
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|-
 
||06:08
 
||06:08
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||Let us now select the “Move” tool from the toolbar.
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||Let us now select the '''Move''' tool from the toolbar.
  
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Use the “Move” tool to move the point 'A'.
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Use the '''Move''' tool to move the point '''A'''.
 
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||06:16
 
||06:16
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||Let us save the file now.
 
||Let us save the file now.
  
−
Click on “File”>> "Save As".
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Click on '''File'''>> '''Save As'''.
  
−
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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||06:53
 
||06:53

Revision as of 17:28, 2 September 2014

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
01:00 Circle with centre 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 an 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 summarises 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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