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. | + | ||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 | ||
| − | ||Construction in | + | ||Construction in Geogebra is done with a view to understand the properties. |
|- | |- | ||
| Line 29: | Line 29: | ||
|- | |- | ||
||00:30 | ||00:30 | ||
| − | ||In this tutorial, we will learn to construct quadrilaterals | + | ||In this tutorial, we will learn to construct quadrilaterals, simple quadrilateral and |
| − | + | ||
| − | + | quadrilateral with diagonals. And also learn their properties. | |
| − | + | ||
| − | And also | + | |
|- | |- | ||
||00:42 | ||00:42 | ||
| − | ||To record this tutorial I am using | + | ||To record this tutorial I am using: |
|- | |- | ||
||00:45 | ||00:45 | ||
| − | ||Linux operating system Ubuntu Version 11.10, | + | ||'''Linux operating system Ubuntu Version 11.10''', '''Geogebra Version 3.2.47'''. |
| − | |||
|- | |- | ||
||00:55 | ||00:55 | ||
| − | ||We will use the following Geogebra tools for construction | + | ||We will use the following Geogebra tools for construction of: |
|- | |- | ||
||01:00 | ||01:00 | ||
| − | ||Circle with | + | || Circle with center through point, Polygon, Angle, Parallel line, Segment between two points and Insert text. |
| − | + | ||
| − | Polygon | + | |
| − | + | ||
| − | Angle | + | |
| − | + | ||
| − | Parallel line | + | |
| − | + | ||
| − | Segment between two points and | + | |
| − | + | ||
| − | Insert text | + | |
|- | |- | ||
| Line 69: | Line 55: | ||
|- | |- | ||
||01:13 | ||01:13 | ||
| − | ||To do this click on Dash home, Media Applications. | + | ||To do this, click on Dash home, Media Applications. |
|- | |- | ||
| Line 77: | Line 63: | ||
|- | |- | ||
||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 | ||
| − | ||To do this, click on the | + | ||To do this, click on the '''Circle with Center through Point''' tool from the toolbar. |
|- | |- | ||
||01:35 | ||01:35 | ||
| − | ||Click on the drawing pad. | + | ||Click on the drawing pad. 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. |
| − | |||
|- | |- | ||
||01:44 | ||01:44 | ||
| − | ||Let us construct | + | ||Let us construct another circle with center '''C''' which passes through '''D'''. |
|- | |- | ||
||01:49 | ||01:49 | ||
| − | ||Click on the drawing pad. It shows point 'C'. | + | ||Click on the drawing pad. It shows point '''C'''. |
|- | |- | ||
||01:53 | ||01:53 | ||
| − | ||Then click again we get point 'D'. | + | ||Then click again we get point '''D'''. The two circles intersect at two points. |
| − | + | ||
| − | The two circles intersect at two points. | + | |
|- | |- | ||
||02:00 | ||02:00 | ||
| − | ||Click on the | + | ||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'''. |
|- | |- | ||
||02:10 | ||02:10 | ||
| − | ||Next, click | + | ||Next, click '''Polygon''' tool. |
|- | |- | ||
||02:16 | ||02:16 | ||
| − | ||Click on the points 'A', 'E', 'C', 'F' and 'A' once again. | + | ||Click on the points 'A', 'E', 'C', 'F' and 'A' once again. Here a quadrilateral is drawn. |
| − | + | ||
| − | Here a quadrilateral is drawn. | + | |
|- | |- | ||
||02:32 | ||02:32 | ||
| − | ||We can see from the | + | ||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 | ||
| − | ||Let us now save the file. Click on | + | ||Let us now save the file. Click on '''File'''>> '''Save As'''. |
|- | |- | ||
||02:48 | ||02:48 | ||
| − | ||I will type the file name as | + | ||I will type the file name as '''simple-quadrilateral''', click on '''Save'''. |
|- | |- | ||
||03:04 | ||03:04 | ||
| Line 134: | Line 114: | ||
|- | |- | ||
||03:08 | ||03:08 | ||
| − | ||Let's open a new Geogebra window, | + | ||Let's open a new Geogebra window, click on '''File''' >> '''New'''. |
| − | + | ||
| − | click on | + | |
|- | |- | ||
||03:16 | ||03:16 | ||
| − | ||Select the | + | ||Select the '''Segment between Two Points''' tool from the toolbar to draw a segment. |
| − | + | ||
| − | + | ||
|- | |- | ||
||03:23 | ||03:23 | ||
| − | ||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' | + | ||Let's construct a circle with center '''A''' which passes through point '''B'''. |
|- | |- | ||
||03:36 | ||03:36 | ||
| − | ||To do this click on the | + | ||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. Click on the circumference as point '''C'''. | |
| − | Select the | + | |
| − | + | ||
| − | + | ||
|- | |- | ||
||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 | + | |
|- | |- | ||
||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 | + | ||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' | + | 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' | + | ||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 | + | ||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 | ||
| − | ||Using the “Distance” tool, | + | ||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 | + | ||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 | + | ||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 | + | ||Let us now select the '''Move''' tool from the toolbar. Use the '''Move''' tool to move the point '''A'''. |
| − | + | ||
| − | Use the | + | |
|- | |- | ||
||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 | + | Click on '''File'''>> '''Save As'''. |
| − | + | ||
| − | + | ||
| − | click on | + | I will type the filename as '''quadrilateral''', click on '''Save'''. |
|- | |- | ||
||06:53 | ||06:53 | ||
| Line 267: | Line 214: | ||
|- | |- | ||
||07:15 | ||07:15 | ||
| − | ||We also learnt the properties of | + | ||We also learnt the properties of- |
| − | + | Simple quadrilateral and 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. | |
| − | 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 | + | ||Draw two points D and E on the parallel Line, 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 | + | ||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 | + | 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. |
