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

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|-
 
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||00:02
 
||00:02
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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'''.
  
 
|-
 
|-
 
||00:08
 
||00:08
−
||Please note that the intention of this tutorial is not to replace the actual compass box
+
||Please note that the intention of this tutorial is not to replace the actual compass box.
  
 
|-
 
|-
 
||00:14
 
||00:14
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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
 
||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
+
  
 
|-
 
|-
 
||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:
  
 
|-
 
|-
 
||00:45
 
||00:45
−
||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
 
 
|-
 
|-
 
||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:
  
 
|-
 
|-
 
||01:00
 
||01:00
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||Circle with centre through point
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|| Circle with center through point, Polygon, Angle, Parallel line, Segment between two points and Insert text.
−
 
+
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Polygon
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−
 
+
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Angle
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−
 
+
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Parallel line
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Segment between two points and
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−
 
+
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Insert text
+
  
 
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|-
 
|-
 
||01:13
 
||01:13
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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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|-
 
|-
 
||01:25
 
||01:25
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||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
−
||To do this, click on the “Circle with Center through Point” tool from the toolbar.
+
||To do this, click on the '''Circle with Center through Point''' tool from the toolbar.
  
 
|-
 
|-
 
||01:35
 
||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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||01:38
−
||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.
 
 
|-
 
|-
 
||01:44
 
||01:44
−
||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'''.
 
|-
 
|-
 
||01:49
 
||01:49
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||Click on the drawing pad. It shows point 'C'.
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||Click on the drawing pad. It shows point '''C'''.
 
|-
 
|-
 
||01:53
 
||01:53
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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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+
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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'.
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Click on the points of intersection as '''E''' and '''F'''.
 
|-
 
|-
 
||02:10
 
||02:10
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||Next, click “Polygon” tool
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||Next, click '''Polygon''' tool.
 
|-
 
|-
 
||02:16
 
||02:16
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||Click on the points 'A', 'E', 'C', 'F' and 'A' once again.
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||Click on the points 'A', 'E', 'C', 'F' and 'A' once again. Here a quadrilateral is drawn.
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+
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Here a quadrilateral is drawn.
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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.
 
|-
 
|-
 
||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'''.
 
|-
 
|-
 
||03:04
 
||03:04
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|-
 
|-
 
||03:08
 
||03:08
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||Let's open a new Geogebra window,
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||Let's open a new Geogebra window, click on '''File''' >> '''New'''.
−
 
+
−
click on “File” >> ”New ”
+
 
|-
 
|-
 
||03:16
 
||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.
−
 
+
−
To draw a segment.
+
 
|-
 
|-
 
||03:23
 
||03:23
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||Click on the drawing pad, point 'A' and then on 'B'.
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||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''' 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'.  
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||Click on the point '''A''' as centre and then on point '''B'''.  
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Select the '''New Point''' tool, from the toolbar. Click on the circumference as point '''C'''.
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Select the “New Point” tool, from the toolbar.
+
−
 
+
−
click on the circumference as point 'c'.
+
 
|-
 
|-
 
||03:57
 
||03:57
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||Let us join 'A' and 'C'.
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||Let us join 'A' and 'C'. Select the '''Segment between Two Points''' tool  
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+
−
Select the “Segment between Two Points” tool  
+
 
|-
 
|-
 
||04:03
 
||04:03
−
||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
−
||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'
+
Click on the point '''C''' and then on segment '''AB'''.
−
 
+
−
and then on segment 'AB'.
+
 
|-
 
|-
 
||04:25
 
||04:25
−
||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
−
||Notice that the parallel line to segment 'AB'
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||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'.
−
 
+
−
and parallel line to segment AC intersect at a point.
+
−
 
+
−
Let's mark the point of intersection as 'D'.
+
 
|-
 
|-
 
||04:47
 
||04:47
−
||Next using the “Segment between Two Points” tool,
+
||Next using the “Segment between Two Points” tool, let's connect the points 'A' 'D', 'B' 'C'.
−
 
+
−
let's connect the points
+
−
 
+
−
'A' 'D', 'B' 'C'
+
 
|-
 
|-
 
||05:01
 
||05:01
−
||We see that a Quadrilateral ABCD with diagonals AD and BC is drawn.
+
||We see that a quadrilateral ABCD with diagonals AD and BC is drawn.
 
|-
 
|-
 
||05:09
 
||05:09
 
||The diagonals intersect at a point.
 
||The diagonals intersect at a point.
  
−
Let us mark the point of intersection as 'E'.
+
Let us mark the point of intersection as '''E'''.
 
|-
 
|-
 
||05:20
 
||05:20
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||Using the “Distance” tool,
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||Using the “Distance” tool, let's check whether the diagonals bisect each other.
−
 
+
−
let's check whether the diagonals bisect each other
+
 
|-
 
|-
 
||05:25
 
||05:25
−
||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.
  
 
|-
 
|-
Line 225: Line 180:
 
|-
 
|-
 
||05:51
 
||05:51
−
||To measure the angle, click on the “Angle” tool.
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||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.
 
|-
 
|-
 
||06:08
 
||06:08
−
||Let us now select the “Move” tool from the toolbar.
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||Let us now select the '''Move''' tool from the toolbar. Use the '''Move''' tool to move the point '''A'''.
−
 
+
−
Use the “Move” tool to move the point 'A'.
+
 
|-
 
|-
 
||06:16
 
||06:16
 
||Click on the 'Move' tool,
 
||Click on the 'Move' tool,
  
−
place the mouse pointer on 'A' and drag it with the mouse.
+
place the mouse pointer on 'A' and drag it with the mouse. Notice that the diagonals always bisect each other and are perpendicular bisectors.
−
 
+
−
Notice that the diagonals always bisect each other
+
−
 
+
−
and are perpendicular bisectors.
+
 
|-
 
|-
 
||06:35
 
||06:35
 
||Let us save the file now.
 
||Let us save the file now.
  
−
Click on “File”>> "Save As".
+
Click on '''File'''>> '''Save As'''.
−
 
+
−
I will type the filename as "quadrilateral"
+
  
−
click on “Save”.
+
I will type the filename as '''quadrilateral''', click on '''Save'''.
 
|-
 
|-
 
||06:53
 
||06:53
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|-
 
|-
 
||07:15
 
||07:15
−
||We also learnt the properties of
+
||We also learnt the properties of-
  
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*  Simple quadrilateral and
+
Simple quadrilateral and Quadrilateral with diagonals.
−
 
+
−
*  Quadrilateral with diagonals
+
 
|-
 
|-
 
||07:21
 
||07:21
−
||As an assignment I would like you to Draw a line segment AB
+
||As an assignment, I would like you to: Draw a line segment AB,
  
−
Mark a point C above the line
+
mark a point C above the line.
  
−
Draw a parallel line to AB at C
+
Draw a parallel line to AB at C.
  
 
|-
 
|-
 
||07:33
 
||07:33
−
||Draw two points D and E on the Parallel Line
+
||Draw two points D and E on the parallel Line, join points AD and EB.
−
 
+
−
Join points AD and EB.
+
  
 
|-
 
|-
 
||07:43
 
||07:43
−
||Draw perpendicular lines to segment AB from D and E
+
||Draw perpendicular lines to segment AB from D and E.
  
−
Mark the points F and G of the perpendicular lines on AB
+
Mark the points F and G of the perpendicular lines on AB.
  
−
Measure distance DE and height DF
+
Measure distance DE and height DF.
  
 
|-
 
|-
Line 304: Line 247:
 
|-
 
|-
 
||08:11
 
||08:11
−
||It summarises the Spoken Tutorial project
+
||It summarizes the Spoken Tutorial project.
−
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
−
||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.
−
 
+
  
 
|-
 
|-
  
 
|}
 
|}

Latest revision as of 13:23, 26 October 2016

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 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

Retrieved from "https://script.spoken-tutorial.org/index.php?title=Geogebra/C2/Understanding-Quadrilaterals-Properties/English-timed&oldid=29517"