Difference between revisions of "Geogebra/C3/Relationship-between-Geometric-Figures/English-timed"

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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
 
{|border =1
 
|'''Time'''
 
|'''Time'''
Line 13: Line 5:
 
|-
 
|-
 
||00:00
 
||00:00
||Hello.  
+
||Hello. And welcome to the spoken tutorial on '''Relationship between different Geometric Figures in Geogebra'''.
 
+
|-
+
||00:01
+
||And welcome to the spoken tutorial on Relationship between different Geometric Figures in Geogebra
+
  
 
|-
 
|-
 
||00:07
 
||00:07
||We assume that you have the basic working knowledge of Geogebra.   
+
||We assume that you have the basic working knowledge of '''Geogebra'''.   
  
 
|-
 
|-
 
||00:11
 
||00:11
||If not, please go through the “Introduction to Geogebra” tutorial before proceeding further.
+
||If not, please go through the '''Introduction to Geogebra''' tutorial before proceeding further.
  
 
|-
 
|-
Line 33: Line 21:
 
|-
 
|-
 
||00:24
 
||00:24
||Construction in GeoGebra is done with the view to understand the properties.
+
||Construction in '''Geogebra''' is done with the view to understand the properties.
  
 
|-
 
|-
 
||00:29
 
||00:29
||In this tutorial we will learn  to construct
+
||In this tutorial, we will learn  to construct
 
   
 
   
 
 
|-
 
|-
 
||00:32
 
||00:32
||Cyclic quadrilateral and In-circle
+
||'''cyclic quadrilateral''' and '''incircle'''.
  
 
|-
 
|-
 
||00:35
 
||00:35
||To record this tutorial I am using
+
||To record this tutorial, I am using '''Linux operating system'''  
Linux operating system   
+
  
 
|-
 
|-
 
||00:39
 
||00:39
||Ubuntu Version  10.04 LTS  
+
||'''Ubuntu Version  10.04 LTS'''
  
 
|-
 
|-
 
||00:43
 
||00:43
||And Geogebra Version 3.2.40.0  
+
||and '''Geogebra Version 3.2.40.0.'''
  
 
|-
 
|-
 
||00:48
 
||00:48
||We will use the following Geogebra tools for  the construction
+
||We will use the following Geogebra tools for  the construction: Compass, Segment between Two Points, Circle with Center through Point, Polygon, Perpendicular Bisector, Angle Bisector  and Angle.
* compass
+
 
+
* segment between two points
+
 
+
* circle with center through point
+
 
+
* polygon
+
 
+
* perpendicular bisector
+
 
+
* angle bisector and
+
 
+
* angle
+
  
 
|-
 
|-
 
||01:02
 
||01:02
||Let us switch on to the Geogebra window.
+
||Let us switch on to the '''Geogebra''' window.
  
 
|-
 
|-
 
||01:05
 
||01:05
||To do this let us click on applications, Education and Geogebra.  
+
||To do this, let us click on '''Applications''', '''Education''' and '''Geogebra'''.  
 
+
  
 
|-
 
|-
Line 89: Line 61:
 
|-
 
|-
 
||01:18
 
||01:18
||Click on the options menu click on font size and then on 18 point to make the figure clear.
+
||Click on the '''Options''' menu, click on '''Font Size''' and then on '''18''' point to make the figure clear.
 
+
  
 
|-
 
|-
Line 98: Line 69:
 
|-
 
|-
 
||01:27
 
||01:27
|| To do this let us select the "Regular Polygon" tool from the tool bar click on the "Regular Polygon" tool click on any two points on the drawing pad.
+
|| To do this, let us select the '''Regular Polygon''' tool from the tool bar, click on the '''Regular Polygon''' tool, click on any two points on the drawing pad.
  
 
|-
 
|-
 
||01:38
 
||01:38
||We see that a dialog box open with a default value '4'.
+
||We see that a dialog box opens with a default value '''4'''.
  
 
|-
 
|-
 
||01:42
 
||01:42
||click OK.  
+
||Click '''OK'''. A square  '''ABCD''' is drawn.  
 
+
 
+
|-
+
||01:43
+
||A square  'ABCD' is drawn.  
+
 
+
  
 
|-
 
|-
 
||01:46
 
||01:46
||Let's tilt the square Using the “Move” tool which is at the left corner.
+
||Let's tilt the square using the '''Move''' tool which is at the left corner.
  
 
|-
 
|-
 
||01:51
 
||01:51
||Select the "Move" tool from the tool bar, click on the Move tool
+
||Select the '''Move''' tool from the tool bar, click on the '''Move''' tool.
  
 
|-
 
|-
 
||01:56
 
||01:56
||Place, the mouse pointer on  'A' or on 'B'. I will choose B  
+
||Place the mouse pointer on  '''A''' or on '''B'''. I will choose '''B'''.
  
 
|-
 
|-
 
||02:01
 
||02:01
||Place the mouse pointer on B and drag it with the mouse. We see that the square is in the tilted position now.
+
||Place the mouse pointer on '''B''' and drag it with the mouse. We see that the square is in the tilted position now.
  
 
|-
 
|-
 
||02:10
 
||02:10
||Let's construct a perpendicular bisector to the segment 'AB'.  
+
||Let's construct a perpendicular bisector to the segment '''AB'''.  
  
 
|-
 
|-
 
||02:15
 
||02:15
||To do this Let's Select “Perpendicular bisector” tool from the tool bar.
+
||To do this, let's select '''Perpendicular Bisector''' tool from the tool bar.
  
 
|-
 
|-
 
||02:20
 
||02:20
||Click on the "Perpendicular bisector" tool.  
+
||Click on the '''Perpendicular Bisector''' tool.  
  
 
|-
 
|-
 
||02:22
 
||02:22
||click on the point 'A'  
+
||Click on the point '''A'''  
  
 
|-
 
|-
 
||02:24
 
||02:24
||and then on  point'B'  
+
||and then on  point'''B'''.
  
 
|-
 
|-
 
||02:26
 
||02:26
||We see that a "Perpendicular bisector" is drawn.
+
||We see that a perpendicular bisector is drawn.
  
 
|-
 
|-
 
||02:30
 
||02:30
||Let's construct a second perpendicular bisector to segment 'BC' to do this   
+
||Let's construct a second perpendicular bisector to segment '''BC'''. To do this,  
  
 
|-
 
|-
 
||02:36
 
||02:36
||Select “perpendicular bisector” tool from the tool bar, click on the  “perpendicular bisector” tool.
+
||select '''Perpendicular Bisector''' tool from the tool bar, click on the  '''Perpendicular Bisector''' tool.
  
 
|-
 
|-
 
||02:42
 
||02:42
||click on the point 'B'  
+
||Click on the point '''B'''  
  
 
|-
 
|-
 
||02:44
 
||02:44
||and then  on point 'C'  
+
||and then  on point '''C'''.
  
 
|-
 
|-
 
||02:46
 
||02:46
||We see that the perpendicular bisectors intersect at a point .
+
||We see that the perpendicular bisectors intersect at a point.
  
 
|-
 
|-
 
||02:50
 
||02:50
||Let us mark this point as 'E'
+
||Let us mark this point as '''E'''.
  
 
|-
 
|-
 
||02:54
 
||02:54
||Let's now construct a circle with centre as 'E' and which passes through C .
+
||Let's now construct a circle with centre as '''E''' and which passes through '''C'''.
  
 
|-
 
|-
 
||03:01
 
||03:01
||Let's select the "circle with centre through point" tool from tool bar click on the "circle with centre through point" tool.
+
||Let's select the '''Circle with Centre through Point''' tool from tool bar, click on the '''Circle with Centre through Point''' tool.
  
 
|-
 
|-
 
||03:09
 
||03:09
||Click on point 'E' as centre and which passes through 'C'. Click on the point 'E' and then on point 'C'.
+
||Click on point '''E''' as centre and which passes through '''C'''. Click on the point '''E''' and then on point '''C'''.
  
 
|-
 
|-
 
||03:18
 
||03:18
||We see that the circle will passes through all the vertices of the quadrilateral.A Cyclic Quadrilateral is drawn.
+
||We see that the circle will pass through all the vertices of the quadrilateral. A cyclic quadrilateral is drawn.
  
 
|-
 
|-
 
||03:29
 
||03:29
||Do you know , that the cyclic quadrilateral has maximum area among all the quadrilaterals of the same sequence of side lengths.
+
||Do you know that the cyclic quadrilateral has maximum area among all the quadrilaterals of the same sequence of side lengths?
  
 
|-
 
|-
 
||03:37
 
||03:37
||Let's use the "Move" tool, to animate the figure.
+
||Let's use the '''Move''' tool, to animate the figure.
  
 
|-
 
|-
 
||03:42
 
||03:42
||To do this Let's select the "Move" tool from the tool bar, click on the "Move" tool place the mouse pointer on 'A' or 'B'. I will choose 'A'.
+
||To do this, let's select the '''Move''' tool from the tool bar, click on the '''Move''' tool. Place the mouse pointer on '''A''' or '''B'''. I will choose '''A'''.
 
+
 
|-
 
|-
 
||03:52
 
||03:52
||Place the mouse pointer on 'A' and drag it with the mouse to animate.
+
||Place the mouse pointer on '''A''' and drag it with the mouse to animate,
  
 
|-
 
|-
 
||03:58
 
||03:58
||To verify that the construction is correct.
+
||to verify that the construction is correct.
  
 
|-
 
|-
Line 220: Line 184:
 
|-
 
|-
 
||04:04
 
||04:04
||Click on "File"  "Save As".   
+
||Click on '''File''' >> '''Save As'''.   
  
 
|-
 
|-
 
||04:07
 
||04:07
||I will type the file name as "cyclic_quadrilateral"
+
||I will type the file name as '''cyclic_quadrilateral'''.
  
 
|-
 
|-
 
||04:21
 
||04:21
||and click on save
+
||and click on '''Save'''.
  
 
|-
 
|-
 
||04:23
 
||04:23
||Let us now open a new geogebra window to construct an incircle.  
+
||Let us now open a new '''geogebra''' window to construct an incircle.  
  
 
|-
 
|-
 
||04:28
 
||04:28
||To do this Let's select on File and New.
+
||To do this let's select on '''File''' and '''New'''.
  
 
|-
 
|-
 
||04:35
 
||04:35
||Let's now construct a triangle to do this , Let's select the "Polygon" tool from the tool bar, Click on the "Polygon" tool.
+
||Let's now construct a triangle. To do this, let's select the '''Polygon''' tool from the tool bar, click on the '''Polygon''' tool.
 
   
 
   
 
|-
 
|-
 
||04:44
 
||04:44
||click on the points A,B,C and A once again to complete the triangle figure.   
+
||Click on the points '''A,B,C''' and '''A''' once again, to complete the triangle figure.   
  
 
|-
 
|-
 
||04:52
 
||04:52
||Let's measure the angles for this triangle,  
+
||Let's measure the angles for this triangle.  
  
 
|-
 
|-
 
||04:55
 
||04:55
||To do this Let's select the "Angle" tool from the tool bar, click on the Angle tool.
+
||To do this, let's select the '''Angle''' tool from the tool bar, click on the '''Angle''' tool.
 
+
  
 
|-
 
|-
 
||05:00
 
||05:00
||Click on the points 'B,A,C' , 'C,B,A' and 'A,C,B'.
+
||Click on the points '''B, A, C''' , '''C, B, A''' and '''A, C, B'''.
  
 
|-
 
|-
Line 269: Line 232:
 
|-
 
|-
 
||05:21
 
||05:21
||Select the "Angle bisector" tool from the tool bar,  
+
||Select the '''Angle Bisector''' tool from the tool bar,  
  
 
|-
 
|-
 
||05:25
 
||05:25
||click on the "Angle bisector" tool.Click on the points 'B,A,C' .
+
||click on the '''Angle Bisector''' tool. Click on the points '''B, A, C'''.
  
 
|-
 
|-
 
||05:32
 
||05:32
||Let's select the "Angle bisector" tool again from the tool bar to construct second angle bisector.
+
||Let's select the '''Angle Bisector''' tool again from the tool bar to construct second angle bisector.
  
 
|-
 
|-
 
||05:39
 
||05:39
||click on the "Angle bisector" tool and the tool bar, click on the points A,B,C.
+
||Click on the '''Angle Bisector''' tool from the tool bar, click on the points A, B, C.
  
 
|-
 
|-
 
||05:48
 
||05:48
||We see that the two angle bisectors intersect at point .
+
||We see that the two angle bisectors intersect at a point .
  
 
|-
 
|-
 
||05:52
 
||05:52
||Let's mark this point as 'D'.
+
||Let's mark this point as '''D'''.
  
 
|-
 
|-
 
||05:55
 
||05:55
||Let's now construct a perpendicular line which passes through point D and segment AB.
+
||Let's now construct a perpendicular line which passes through point '''D''' and segment '''AB'''.
  
 
|-
 
|-
 
||06:02
 
||06:02
||Select “perpendicular line” tool from tool bar,click on the “perpendicular line” tool, click on the point D and then on segment AB.
+
||Select '''Perpendicular Line''' tool from tool bar, click on the '''Perpendicular Line''' tool, click on the point '''D''' and then on segment '''AB'''.
  
 
|-
 
|-
 
||06:12
 
||06:12
||We see that the perpendicular line intersects segment AB at a point.
+
||We see that the perpendicular line intersects segment '''AB''' at a point.
  
 
|-
 
|-
 
||06:17
 
||06:17
||Let's mark this point as 'E'.
+
||Let's mark this point as '''E'''.
  
 
|-
 
|-
 
||06:20
 
||06:20
||Let's now construct a circle with centre as D and which passes through 'E'.
+
||Let's now construct a circle with centre as '''D''' and which passes through '''E'''.
  
 
|-
 
|-
 
||06:27
 
||06:27
||Let's select the "compass" tool from tool bar , click on the "compass" tool,click on the point D as centre and DE as radius.
+
||Let's select the '''Compass''' tool from tool bar , click on the '''Compass''' tool, click on the point D as centre and DE as radius.
  
 
|-
 
|-
 
||06:37
 
||06:37
||Click on the point 'D' and then on point 'E' and 'D' once again to complete the figure.
+
||Click on the point '''D''' and then on point '''E''' and '''D''' once again to complete the figure.
  
 
|-
 
|-
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|-
 
|-
 
||06:50
 
||06:50
||An in-circle is drawn.
+
||An incircle is drawn.
  
 
|-
 
|-
 
||06:53
 
||06:53
||With this we come to an end of this tutorial.
+
||With this, we come to an end of this tutorial.
 
    
 
    
 
 
|-
 
|-
 
||06:57
 
||06:57
||To Summarize  
+
||To Summarize:
  
 
|-
 
|-
 
||07:02
 
||07:02
||In this tutorial we have learnt to construct  
+
||in this tutorial, we have learnt to construct  
  
 
|-
 
|-
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|-
 
|-
 
||07:07
 
||07:07
||In-circle using the Geogebra tools.
+
||incircle using the Geogebra tools.
  
 
|-
 
|-
 
||07:10
 
||07:10
||As an assignment i would like you to draw a triangle ABC
+
||As an assignment, I would like you to draw a triangle ABC.
  
 
|-
 
|-
 
||07:15
 
||07:15
||Mark a point D on BC, join AD  
+
||Mark a point '''D''' on '''BC''', join '''AD'''.
  
 
|-
 
|-
 
||07:19
 
||07:19
||Draw in-circles form triangles ABC, ABD and CBD of radii r, r1 and r2 .  
+
||Draw incircles from triangles '''ABC''', '''ABD''' and '''CBD''' of radii r, r1 and r2 .  
  
 
|-
 
|-
 
||07:28
 
||07:28
||BE is the height h  
+
||BE is the height 'h'.
  
 
|-
 
|-
 
||07:30
 
||07:30
||Move the vertices of the Triangle ABC
+
||Move the vertices of the triangle '''ABC''',
  
 
|-
 
|-
 
||07:33
 
||07:33
||To verify the relation.
+
||to verify the relation:
  
 
|-
 
|-
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|-
 
|-
 
||07:55
 
||07:55
||It summarises the Spoken Tutorial project.
+
||It summarizes the Spoken Tutorial project.
  
 
|-
 
|-
 
||07:57
 
||07:57
||If you do not have good bandwidth, you can download  
+
||If you do not have good bandwidth, you can download and watch it.
and watch it  
+
  
 
|-
 
|-
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|-
 
|-
 
||08:06
 
||08:06
||Gives certificates to those who pass an online test  
+
||Gives certificates to those who pass an online test.
  
 
|-
 
|-
 
||08:09
 
||08:09
||For more details, contact us contact@spoken-tutorial.org  
+
||For more details, contact us contact@spoken-tutorial.org.
  
 
|-
 
|-
 
||08:16
 
||08:16
||Spoken Tutorial Project is a part of Talk to a Teacher project  
+
||Spoken Tutorial Project is a part of Talk to a Teacher project.
  
 
|-
 
|-
Line 415: Line 376:
 
|-
 
|-
 
||08:25
 
||08:25
||More information on this Mission is available at this link.  
+
||More information on this mission is available at this link.  
  
 
|-
 
|-
 
||08:29
 
||08:29
||This is Madhuri Ganapathi from IIT Bombay signing off
+
||This is Madhuri Ganapathi from IIT Bombay, signing off. Thanks for joining.
 
+
Thanks for joining.
+
 
|-
 
|-

Latest revision as of 15:53, 27 March 2017

Time Narration
00:00 Hello. And welcome to the spoken tutorial on Relationship between different Geometric Figures in Geogebra.
00:07 We assume that you have the basic working knowledge of Geogebra.
00:11 If not, please go through the Introduction to Geogebra tutorial before proceeding further.
00:18 Please note that the intention to teach this tutorial is not to replace the actual compass box.
00:24 Construction in Geogebra is done with the view to understand the properties.
00:29 In this tutorial, we will learn to construct
00:32 cyclic quadrilateral and incircle.
00:35 To record this tutorial, I am using Linux operating system
00:39 Ubuntu Version 10.04 LTS
00:43 and Geogebra Version 3.2.40.0.
00:48 We will use the following Geogebra tools for the construction: Compass, Segment between Two Points, Circle with Center through Point, Polygon, Perpendicular Bisector, Angle Bisector and Angle.
01:02 Let us switch on to the Geogebra window.
01:05 To do this, let us click on Applications, Education and Geogebra.
01:13 Let me resize this window.
01:18 Click on the Options menu, click on Font Size and then on 18 point to make the figure clear.
01:25 Let us construct a cyclic quadrilateral.
01:27 To do this, let us select the Regular Polygon tool from the tool bar, click on the Regular Polygon tool, click on any two points on the drawing pad.
01:38 We see that a dialog box opens with a default value 4.
01:42 Click OK. A square ABCD is drawn.
01:46 Let's tilt the square using the Move tool which is at the left corner.
01:51 Select the Move tool from the tool bar, click on the Move tool.
01:56 Place the mouse pointer on A or on B. I will choose B.
02:01 Place the mouse pointer on B and drag it with the mouse. We see that the square is in the tilted position now.
02:10 Let's construct a perpendicular bisector to the segment AB.
02:15 To do this, let's select Perpendicular Bisector tool from the tool bar.
02:20 Click on the Perpendicular Bisector tool.
02:22 Click on the point A
02:24 and then on pointB.
02:26 We see that a perpendicular bisector is drawn.
02:30 Let's construct a second perpendicular bisector to segment BC. To do this,
02:36 select Perpendicular Bisector tool from the tool bar, click on the Perpendicular Bisector tool.
02:42 Click on the point B
02:44 and then on point C.
02:46 We see that the perpendicular bisectors intersect at a point.
02:50 Let us mark this point as E.
02:54 Let's now construct a circle with centre as E and which passes through C.
03:01 Let's select the Circle with Centre through Point tool from tool bar, click on the Circle with Centre through Point tool.
03:09 Click on point E as centre and which passes through C. Click on the point E and then on point C.
03:18 We see that the circle will pass through all the vertices of the quadrilateral. A cyclic quadrilateral is drawn.
03:29 Do you know that the cyclic quadrilateral has maximum area among all the quadrilaterals of the same sequence of side lengths?
03:37 Let's use the Move tool, to animate the figure.
03:42 To do this, let's select the Move tool from the tool bar, click on the Move tool. Place the mouse pointer on A or B. I will choose A.
03:52 Place the mouse pointer on A and drag it with the mouse to animate,
03:58 to verify that the construction is correct.
04:01 Let's now save the file.
04:04 Click on File >> Save As.
04:07 I will type the file name as cyclic_quadrilateral.
04:21 and click on Save.
04:23 Let us now open a new geogebra window to construct an incircle.
04:28 To do this let's select on File and New.
04:35 Let's now construct a triangle. To do this, let's select the Polygon tool from the tool bar, click on the Polygon tool.
04:44 Click on the points A,B,C and A once again, to complete the triangle figure.
04:52 Let's measure the angles for this triangle.
04:55 To do this, let's select the Angle tool from the tool bar, click on the Angle tool.
05:00 Click on the points B, A, C , C, B, A and A, C, B.
05:15 We see that the angles are measured.
05:18 Lets now construct angle bisectors to these angles.
05:21 Select the Angle Bisector tool from the tool bar,
05:25 click on the Angle Bisector tool. Click on the points B, A, C.
05:32 Let's select the Angle Bisector tool again from the tool bar to construct second angle bisector.
05:39 Click on the Angle Bisector tool from the tool bar, click on the points A, B, C.
05:48 We see that the two angle bisectors intersect at a point .
05:52 Let's mark this point as D.
05:55 Let's now construct a perpendicular line which passes through point D and segment AB.
06:02 Select Perpendicular Line tool from tool bar, click on the Perpendicular Line tool, click on the point D and then on segment AB.
06:12 We see that the perpendicular line intersects segment AB at a point.
06:17 Let's mark this point as E.
06:20 Let's now construct a circle with centre as D and which passes through E.
06:27 Let's select the Compass tool from tool bar , click on the Compass tool, click on the point D as centre and DE as radius.
06:37 Click on the point D and then on point E and D once again to complete the figure.
06:46 We see that the circle touches all the sides of the triangle.
06:50 An incircle is drawn.
06:53 With this, we come to an end of this tutorial.
06:57 To Summarize:
07:02 in this tutorial, we have learnt to construct
07:05 cyclic quadrilateral and
07:07 incircle using the Geogebra tools.
07:10 As an assignment, I would like you to draw a triangle ABC.
07:15 Mark a point D on BC, join AD.
07:19 Draw incircles from triangles ABC, ABD and CBD of radii r, r1 and r2 .
07:28 BE is the height 'h'.
07:30 Move the vertices of the triangle ABC,
07:33 to verify the relation:
07:35 (1 -2r1/h)*(1 - 2r2/h) = (1 -2r/h)
07:43 The output of the assignment should look like this.
07:52 Watch the video available at this URL.
07:55 It summarizes the Spoken Tutorial project.
07:57 If you do not have good bandwidth, you can download and watch it.
08:02 The Spoken Tutorial Project Team :Conducts workshops using spoken tutorials.
08:06 Gives certificates to those who pass an online test.
08:09 For more details, contact us contact@spoken-tutorial.org.
08:16 Spoken Tutorial Project is a part of Talk to a Teacher project.
08:19 It is supported by the National Mission on Education through ICT, MHRD, Government of India.
08:25 More information on this mission is available at this link.
08:29 This is Madhuri Ganapathi from IIT Bombay, signing off. Thanks for joining.

Contributors and Content Editors

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