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

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||00:24
 
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||Construction in '''GeoGebra''' is done with the view to understand the properties.
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||Construction in '''Geogebra''' is done with the view to understand the properties.
  
 
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||00:29
 
||00:29
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||In this tutorial we will learn  to construct
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||In this tutorial, we will learn  to construct
 
   
 
   
 
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||00:32
 
||00:32
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||'''Cyclic quadrilateral and In-circle'''
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||'''cyclic quadrilateral and incircle'''.
  
 
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||00:35
 
||00:35
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||To record this tutorial I am using Linux operating system   
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||To record this tutorial, I am using '''Linux operating system   
  
 
|-
 
|-
 
||00:39
 
||00:39
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||Ubuntu Version  10.04 LTS  
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||Ubuntu''' Version  10.04 '''LTS'''
  
 
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||00:43
 
||00:43
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||And Geogebra Version 3.2.40.0  
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||and '''Geogebra''' Version 3.2.40.0.
  
 
|-
 
|-
 
||00:48
 
||00:48
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||We will use the following Geogebra tools for  the construction
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||We will use the following Geogebra tools for  the construction:
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* '''compass'''
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* '''Compass'''
  
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* '''segment between two points'''
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* '''Segment between two points'''
  
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*'''circle with center 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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* '''perpendicular bisector'''
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* '''Perpendicular bisector'''
  
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* '''angle bisector and'''
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* '''Angle bisector''' and
  
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* '''angle'''
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* '''Angle'''
  
 
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||01:05
 
||01:05
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||To do this let us click on '''applications''', '''Education and Geogebra'''.  
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||To do this, let us click on '''Applications''', '''Education''' and '''Geogebra'''.  
  
 
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||01:18
 
||01:18
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||Click on the options menu click on font size and then on 18 point to make the figure clear.
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||Click on the '''Options''' menu, click on '''Font Size''' and then on '''18''' point to make the figure clear.
  
 
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||01:27
 
||01:27
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|| 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.
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|| 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
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||We see that a dialog box open with a default value '''4'''.
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||We see that a dialog box opens with a default value '''4'''.
  
 
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|-
 
|-
 
||01:46
 
||01:46
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||Let's tilt the square Using the '''Move''' tool which is at the left corner.
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||Let's tilt the square using the '''Move''' tool which is at the left corner.
  
 
|-
 
|-
 
||01:51
 
||01:51
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||Select the '''Move''' tool from the tool bar, click on the '''Move''' tool
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||Select the '''Move''' tool from the tool bar, click on the '''Move''' tool.
  
 
|-
 
|-
 
||01:56
 
||01:56
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||Place, the mouse pointer on  '''A''' or on '''B'''. I will choose '''B'''  
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||Place the mouse pointer on  '''A''' or on '''B'''. I will choose '''B'''.
  
 
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||02:15
 
||02:15
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||To do this Let's Select '''Perpendicular bisector'''  tool from the tool bar.
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||To do this, let's select '''Perpendicular Bisector'''  tool from the tool bar.
  
 
|-
 
|-
 
||02:20
 
||02:20
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||Click on the '''Perpendicular bisector''' tool.  
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||Click on the '''Perpendicular Bisector''' tool.  
  
 
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||02:24
 
||02:24
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||and then on  point'''B'''  
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||and then on  point'''B'''.
  
 
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||02:26
 
||02:26
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||We see that a '''Perpendicular bisector''' is drawn.
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||We see that a perpendicular bisector is drawn.
  
 
|-
 
|-
 
||02:30
 
||02:30
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||Let's construct a second perpendicular bisector to segment '''BC''' to do this   
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||Let's construct a second perpendicular bisector to segment '''BC'''. To do this,  
  
 
|-
 
|-
 
||02:36
 
||02:36
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||Select '''perpendicular bisector'''  tool from the tool bar, click on the  “perpendicular bisector” tool.
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||select '''Perpendicular Bisector'''  tool from the tool bar, click on the  '''Perpendicular Bisector''' tool.
  
 
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||02:44
 
||02:44
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||and then  on point '''C'''  
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||and then  on point '''C'''.
  
 
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||02:50
 
||02:50
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||Let us mark this point as '''E'''
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||Let us mark this point as '''E'''.
  
 
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||03:01
 
||03:01
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||Let's select the '''circle with centre through point''' tool from tool bar click on the '''circle with centre through point''' tool.
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||Let's select the '''Circle with Centre through Point''' tool from tool bar, click on the '''Circle with Centre through Point''' tool.
  
 
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||03:18
 
||03:18
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||We see that the circle will passes through all the vertices of the quadrilateral.A Cyclic Quadrilateral is drawn.
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||We see that the circle will passes through all the vertices of the quadrilateral. A cyclic quadrilateral is drawn.
  
 
|-
 
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||03:29
 
||03:29
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||Do you know , that the cyclic quadrilateral has maximum area among all the quadrilaterals of the same sequence of side lengths.
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||Do you know that the cyclic quadrilateral has maximum area among all the quadrilaterals of the same sequence of side lengths?
  
 
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||03:42
 
||03:42
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||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'''
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||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
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||Place the mouse pointer on '''A''' and drag it with the mouse to animate.
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||Place the mouse pointer on '''A''' and drag it with the mouse to animate,
  
 
|-
 
|-
 
||03:58
 
||03:58
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||To verify that the construction is correct.
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||to verify that the construction is correct.
  
 
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||04:04
 
||04:04
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||Click on '''File'''  '''Save As'''.   
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||Click on '''File''' >> '''Save As'''.   
  
 
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||04:07
 
||04:07
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||I will type the file name as '''cyclic_quadrilateral'''  
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||I will type the file name as '''cyclic_quadrilateral'''.
  
 
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||04:21
 
||04:21
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||and click on save
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||and click on '''Save'''.
  
 
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||04:28
 
||04:28
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||To do this Let's select on '''File''' and '''New'''.
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||To do this let's select on '''File''' and '''New'''.
  
 
|-
 
|-
 
||04:35
 
||04:35
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||Let's now construct a triangle to do this , Let's select the '''Polygon''' tool from the tool bar, Click on the '''Polygon''' tool.
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||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
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||click on the points '''A,B,C and A''' once again to complete the triangle figure.   
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||Click on the points '''A,B,C''' and '''A''' once again, to complete the triangle figure.   
  
 
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|-
 
||04:52
 
||04:52
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||Let's measure the angles for this triangle,  
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||Let's measure the angles for this triangle.  
  
 
|-
 
|-
 
||04:55
 
||04:55
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||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.
  
 
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|-
 
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||05:21
 
||05:21
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||Select the '''Angle bisector''' tool from the tool bar,  
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||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 and 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 .
  
 
|-
 
|-

Revision as of 10:56, 23 February 2015

Title of script: Relationship between different Geometric Figures

Author: Madhuri Ganapathi

Keywords: video tutorial

Time Narration
00:00 Hello.
00:01 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.
01:43 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 passes 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 and 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 in-circle 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 In-circle 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 in-circles form 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 summarises 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

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