Difference between revisions of "Geogebra/C2/Symmetrical-Transformation-in-Geogebra/English-timed"

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(Created page with '{| border=1 !Time !Narration |- |0:00 |Hello everybody.Welcome to this tutorial on Symmetrical Transformation in Geogebra |- |0:06 |In this tutorial we will learn Symmetrical t…')
 
 
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{| border=1
 
{| border=1
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!Time
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|'''Time'''
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!Narration
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|'''Narration'''
 
|-
 
|-
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|0:00
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|00:00
−
|Hello everybody.Welcome to this tutorial on Symmetrical Transformation in Geogebra  
+
|Hello everybody. Welcome to this tutorial on '''Symmetrical Transformation''' in '''Geogebra'''.
  
 
|-
 
|-
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|0:06
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|00:06
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|In this tutorial we will learn Symmetrical transformations such as
+
|In this tutorial we will learn Symmetrical transformations such as:
  
 
|-
 
|-
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|0:11
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|00:11
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|Line symmetry  
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| Line symmetry Rotation symmetry  
  
 
|-
 
|-
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|0:12
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|00:13
−
|Rotation symmetry
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|and also learn to enlarge figure with scale and position.
  
 
|-
 
|-
−
|0:13
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|00:17
−
|and also learn to
+
|We assume that you have the basic working knowledge of Geogebra.
−
Enlarge figure with scale and position
+
  
 
|-
 
|-
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|0:17
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|00:21
−
|We assume that you have the basic working knowledge of Geogebra
+
|If not, for relevant tutorials, please visit our website.
  
 
|-
 
|-
−
|0:21
+
|00:26
−
|If not, For relevant tutorials, Please visit our website
+
|To record this tutorial, I am using '''Ubuntu Linux OS Version 11.10''',
  
 
|-
 
|-
−
|0:26
+
|00:31
−
|To record this tutorial I am using
+
|'''Geogebra Version 3.2.47.0'''.  
−
Ubuntu Linux OS Version 11.10
+
  
 
|-
 
|-
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|0:31
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|00:35
−
|Geogebra Version 3.2.47.0
+
|We will use the following Geogebra tools:
  
 
|-
 
|-
−
|0:35
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|00:37
−
|We will use the following Geogebra tools
+
−
 
+
−
|-
+
−
|0:37
+
 
|Reflect Object about Line  
 
|Reflect Object about Line  
  
 
|-
 
|-
−
|0:39
+
|00:39
 
|Rotate Object around Point by Angle  
 
|Rotate Object around Point by Angle  
  
 
|-
 
|-
−
|0:42
+
|00:42
 
|Dilate object from a Point by Factor  
 
|Dilate object from a Point by Factor  
  
 
|-
 
|-
−
|0:45
+
|00:45
 
|Semicircle through Two points  
 
|Semicircle through Two points  
  
 
|-
 
|-
−
|0:47
+
|00:47
−
|Regular Polygon and  
+
| Regular Polygon and  
  
 
|-
 
|-
−
|0:49
+
|00:49
 
|Perpendicular bisector  
 
|Perpendicular bisector  
  
 
|-
 
|-
−
|0:51
+
|00:51
−
|Definition of Transformation
+
|Definition of '''Transformation'''-
  
 
|-
 
|-
−
|0:53
+
|00:53
−
|Symmetrical transformation of a geometric figure is -
+
|Symmetrical transformation of a geometric figure is:
  
 
|-
 
|-
−
|0:57
+
|00:57
−
|A change in its position, size or shape on a coordinate plane
+
| A change in its position, size or shape on a coordinate plane.
  
 
|-
 
|-
−
|1:02
+
|01:02
−
|Original figure is called 'Object'
+
| Original figure is called '''Object'''.
  
 
|-
 
|-
−
|1:04
+
|01:04
−
|Transformed figure is called 'Image'  
+
| Transformed figure is called '''Image'''.
  
 
|-
 
|-
−
|1:07
+
|01:07
−
|Reflection symmetry
+
|'''Reflection symmetry''':
  
 
|-
 
|-
−
|1:09
+
|01:09
−
|Is also called as Line symmetry
+
| Is also called as '''Line symmetry'''.
  
 
|-
 
|-
−
|1:11
+
|01:11
−
|A type of symmetry where one half is the reflection of the other half
+
|A type of symmetry where one half is the reflection of the other half.
  
 
|-
 
|-
−
|1:15
+
|01:15
−
|You could fold the image and have both halves match exactly  
+
|You could fold the image and have both halves match exactly.
  
 
|-
 
|-
−
|1:20
+
|01:20
 
|Line of Symmetry is the line over which the figure is reflected.
 
|Line of Symmetry is the line over which the figure is reflected.
  
 
|-
 
|-
−
|1:24
+
|01:24
−
|Let's Switch to GeoGebra window
+
|Let's switch to Geogebra window.
  
 
|-
 
|-
−
|1:27
+
|01:27
−
|Look on Dash home >>Media Apps>>Under Type >>Choose Education>> and Geogebra
+
|Look on '''Dash home''' >> '''Media Apps''' >> under '''Type''' >> choose '''Education''' >> and '''Geogebra'''.
  
 
|-
 
|-
−
|1:37
+
|01:37
−
|For this tutorial I am closing the Algebric view
+
|For this tutorial, I am closing the '''Algebric view'''.
  
 
|-
 
|-
−
|1:40
+
|01:40
−
|Click on Close button on Algebric view
+
|Click on Close button on '''Algebric view'''.
  
 
|-
 
|-
−
|1:47
+
|01:47
−
|Let's start with “Line of symmetry”
+
|Let's start with '''Line of symmetry'''.
  
 
|-
 
|-
−
|1:50
+
|01:50
−
|First let's construct an equilateral triangle.
+
|First, let's construct an equilateral triangle.
  
 
|-
 
|-
−
|1:53
+
|01:53
−
|Select “Regular Polygon” tool from the toolbar.  
+
|Select '''Regular Polygon''' tool from the toolbar.  
  
 
|-
 
|-
−
|1:57
+
|01:57
−
|Click on drawing pad points 'A' ,'B', and enter 3 for the number of sides.
+
|Click on drawing pad points '''A''' ,'''B''', and enter 3 for the number of sides.
  
 
|-
 
|-
−
|2:08
+
|02:08
−
|An equilateral triangle 'ABC' is drawn  
+
|An equilateral triangle '''ABC''' is drawn.
  
 
|-
 
|-
−
|2:11
+
|02:11
−
|Let's draw a perpendicular bisector to one of the sides of triangle
+
|Let's draw a perpendicular bisector to one of the sides of triangle.
  
 
|-
 
|-
−
|2:15
+
|02:15
−
|Select “Perpendicular Bisector Tool” and click on side AC  
+
|Select '''Perpendicular Bisector Tool''' and click on side AC.
  
 
|-
 
|-
−
|2:26
+
|02:26
−
|Select the Point tool and create a point inside the triangle.
+
|Select the '''Point''' tool and create a point inside the triangle.
  
 
|-
 
|-
−
|2:31
+
|02:31
 
|Move the point D towards one of the vertices .
 
|Move the point D towards one of the vertices .
  
 
|-
 
|-
−
|2:38
+
|02:38
−
|Right click on point D and select Trace ON
+
|Right click on point D and select '''Trace On'''.
  
 
|-
 
|-
−
|2:43
+
|02:43
−
|Select “Reflect Object about Line”tool from the tool bar  
+
|Select '''Reflect Object about Line''' tool from the tool bar.
  
 
|-
 
|-
−
|2:48
+
|02:48
−
|Click on the point D
+
|Click on the point D.This will highlight point D.
  
 
|-
 
|-
−
|2:49
+
|02:52
−
|This will highlight Point D
+
|Click on '''Perpendicular Bisector'''.
  
 
|-
 
|-
−
|2:52
+
|02:55
−
|Click on perpendicular Bisector
+
|This will produce reflected image D' on the other side of perpendicular bisector.
  
 
|-
 
|-
−
|2:55
+
|03:01
−
|This will produce reflected image D' on the other side of perpendicular bisector
+
|'''D' '''is mirror image of point '''D'''.
  
 
|-
 
|-
−
|3:01
+
|03:04
−
|'D is mirror image of point 'D'
+
|Set '''Trace On''' for the point '''D'''.
−
 
+
−
|-
+
−
|3:04
+
−
|Set Trace On for the point D'
+
 
 
 
|-
 
|-
−
|3:08
+
|03:08
−
|Let us move the point D along the triangle using Move tool
+
|Let us move the point D along the triangle, using '''Move''' tool.
  
 
|-
 
|-
−
|3:11
+
|03:11
−
|Click on the first option under Move tool from the toolbar
+
|Click on the first option under '''Move''' tool from the toolbar.
  
 
|-
 
|-
−
|3:22
+
|03:22
 
|Click on figure with the mouse.
 
|Click on figure with the mouse.
  
 
|-
 
|-
−
|3:25
+
|03:25
 
|Drag it tracing the triangle .
 
|Drag it tracing the triangle .
  
 
|-
 
|-
−
|3:28
+
|03:28
 
|Now release the mouse button.
 
|Now release the mouse button.
  
 
|-
 
|-
−
|3:31
+
|03:31
−
|What do you notice ?
+
|What do you notice ? Here perpendicular bisector is the line of symmetry.
  
 
|-
 
|-
−
|3:32
+
|03:36
−
|Here perpendicular bisector is the line of symmetry
+
|'''D''' is the object and '''D' '''is the image.
−
 
+
−
|-
+
−
|3:36
+
−
|D is the object and D' is the image
+
 
 
 
|-
 
|-
−
|3:39
+
|03:39
−
|Let's reflect a semicircle about a line
+
|Let's reflect a semicircle about a line.
−
 
+
−
|-
+
−
|3:43
+
−
|Let's draw a semicircle
+
  
 
|-
 
|-
−
|3:44
+
|03:43
−
|Click on the “Semicircle through Two points” tool Mark point E and then F  
+
|Let's draw a semicircle.Click on the '''Semicircle through Two points''' tool. Mark point E and then F.
  
 
|-
 
|-
−
|3:56
+
|03:56
−
|Click on segment Between two Points
+
|Click on segment between two points.
  
 
|-
 
|-
−
|4:02
+
|04:02
−
|Mark points G and H A line is drawn  
+
|Mark points G and H. A line is drawn.
  
 
|-
 
|-
−
|4:06
+
|04:06
−
|Let's change the property of the line
+
|Let's change the property of the line.
  
 
|-
 
|-
−
|4:08
+
|04:08
−
|Right click on the line Object properties Click on Style change Style  
+
|Right click on the line, '''Object Properties'''. Click on '''Style''', change Style.
  
 
|-
 
|-
−
|4:21
+
|04:21
−
|Select “Reflect Object about Line” tool from the toolbar
+
|Select '''Reflect Object about Line''' tool from the toolbar.
  
 
|-
 
|-
−
|4:27
+
|04:27
−
|Click on the semicircle EF
+
|Click on the semicircle EF.
  
 
|-
 
|-
−
|4:31
+
|04:31
−
|Click on line GH
+
|Click on line GH.
  
 
|-
 
|-
−
|4:34
+
|04:34
−
|This will produce the reflected image E'F' on the other side of line GH What does the figure look like now ? It looks like a circle  
+
|This will produce the reflected image E'F' on the other side of line GH. What does the figure look like now ? It looks like a circle.
  
 
|-
 
|-
−
|4:45
+
|04:45
−
|Let us save this file now
+
|Let us save this file now.
  
 
|-
 
|-
−
|4:47
+
|04:47
−
|Click on “File”>> "Save As"
+
|Click on '''File''' '''Save As'''.
  
 
|-
 
|-
−
|4:50
+
|04:50
−
|I will type the file name as "Line-symmetry" and click on “Save”
+
|I will type the file name as '''Line-symmetry''' and click on '''Save'''.
 
 
 
|-
 
|-
−
|5:05
+
|05:05
−
|Next, let us learn to “Rotate the Object around a Point by Angle”
+
|Next, let us learn to '''Rotate the Object around a Point by Angle'''.
  
 
|-
 
|-
−
|5:12
+
|05:12
−
|Definition of Rotation
+
|Definition of Rotation-
  
 
|-
 
|-
−
|5:15
+
|05:15
−
|A rotation is a transformation that turns a figure around a fixed center by an angle
+
|A rotation is a transformation that turns a figure around a fixed center by an angle.
  
 
|-
 
|-
−
|5:21
+
|05:21
−
|If the figure appears unchanged, then the figure has rotation symmetry
+
|If the figure appears unchanged then the figure has rotation symmetry.
  
 
|-
 
|-
−
|5:29
+
|05:29
−
|You can rotate object at any degree measure Rotation can be clockwise and counterclockwise  
+
|You can rotate object at any degree measure. Rotation can be clockwise and counterclockwise.
  
 
|-
 
|-
−
|5:39
+
|05:39
−
|Let's open a new Geogebra window
+
|Let's open a new Geogebra window.
  
 
|-
 
|-
−
|5:41
+
|05:41
−
|click on “File” >> New
+
|click on '''File'''  '''New'''.
  
 
|-
 
|-
−
|5:47
+
|05:47
 
|Let us construct a square.
 
|Let us construct a square.
 
   
 
   
 
|-
 
|-
−
|5:49
+
|05:49
−
|click on “Regular Polygon” tool from the toolbar  
+
|click on '''Regular Polygon''' tool from the toolbar.
  
 
|-
 
|-
−
|5:55
+
|05:55
−
|Click on the drawing pad
+
|Click on the drawing pad.
  
 
|-
 
|-
−
|5:57
+
|05:57
−
|Mark points 'A' and 'B'  
+
|Mark points '''A''' and '''B'''.
  
 
|-
 
|-
−
|5:59
+
|05:59
−
|A dialog box opens
+
|A dialog box opens.
  
 
|-
 
|-
−
|6:01
+
|06:01
−
|Click on OK
+
|Click on '''OK'''.
  
 
|-
 
|-
−
|6:03
+
|06:03
−
|A square 'ABCD' is drawn  
+
|A square '''ABCD''' is drawn.
  
 
|-
 
|-
−
|6:05
+
|06:05
−
|Click on “Rotate Object around a Point by Angle” tool
+
|Click on '''Rotate Object around a Point by Angle''' tool.
  
 
|-
 
|-
−
|6:13
+
|06:13
−
|Click on the Square 'ABCD'
+
|Click on the Square '''ABCD'''.
  
 
|-
 
|-
−
|6:16
+
|06:16
−
|This will highlight the square
+
|This will highlight the square.
  
 
|-
 
|-
−
|6:18
+
|06:18
−
|Next Click on any one of the vertices
+
|Next Click on any one of the vertices.
  
 
|-
 
|-
−
|6:20
+
|06:20
−
|I will click on 'A'
+
|I will click on '''A'''.
  
 
|-
 
|-
−
|6:23
+
|06:23
−
|A dialog box opens
+
|A dialog box opens.
  
 
|-
 
|-
−
|6:25
+
|06:25
−
|Type “60” in the Angle field
+
|Type '''60''' in the '''Angle''' field
  
 
|-
 
|-
−
|6:30
+
|06:30
−
|Select "°" from first drop down list
+
|Select '''°'''(Degree) from first drop down list.
  
 
|-
 
|-
−
|6:35
+
|06:35
−
|Select the option “clockwise”
+
|Select the option '''clockwise'''. Click on '''OK'''.
−
Click on OK
+
  
 
|-
 
|-
−
|6:40
+
|06:40
−
|This will rotate the square clockwise at the point of selection with the angle of 60°
+
|This will rotate the square clockwise at the point of selection, with the angle of 60°.
  
 
|-
 
|-
−
|6:44
+
|06:44
−
|The rotated image 'A`B`C` 'D' is formed
+
|The rotated image '''A`B`C`D`''' is formed.
 
 
 
|-
 
|-
−
|6:49
+
|06:49
−
|Let's move this figure aside using Move tool
+
|Let's move this figure aside using '''Move''' tool.
  
 
|-
 
|-
−
|7:00
+
|07:00
−
|Next, let's “Dilate or enlarge object from point by factor”
+
|Next, let's '''dilate''' or '''enlarge object from point by factor.'''
  
 
|-
 
|-
−
|7:09
+
|07:09
−
|Dilation
+
|'''Dilation''':
  
 
|-
 
|-
−
|7:11
+
|07:11
 
|Dilation or enlargement is a transformation  
 
|Dilation or enlargement is a transformation  
  
 
|-
 
|-
−
|7:14
+
|07:14
−
|in which a figure is enlarged using a scale factor  
+
|in which a figure is enlarged using a scale factor.
  
 
|-
 
|-
−
|7:23
+
|07:23
−
|Let's draw a triangle Using the “Polygon”tool
+
|Let's draw a triangle using the '''Polygon'''tool,
  
 
|-
 
|-
−
|7:28
+
|07:28
−
|E , F , G click on E again to complete the triangle  
+
|E , F , G. Click on E again to complete the triangle.
  
 
|-
 
|-
−
|7:36
+
|07:36
−
|Click on New point tool and
+
|Click on '''New Point''' tool and
  
 
|-
 
|-
−
|7:40
+
|07:40
−
|Mark a point 'H'  
+
|mark a point '''H'''.
  
 
|-
 
|-
−
|7:44
+
|07:44
−
|Click on “Dilate Object from Point by Factor” tool  
+
|Click on '''Dilate Object from Point by Factor''' tool.
  
 
|-
 
|-
−
|7:51
+
|07:51
−
|Click on the triangle 'EFG'
+
|Click on the triangle '''EFG'''.
  
 
|-
 
|-
−
|7:54
+
|07:54
−
|This will highlight the triangle  
+
|This will highlight the triangle.
  
 
|-
 
|-
−
|7:55
+
|07:55
−
|Click on the point 'H'
+
|Click on the point 'H'.
  
 
|-
 
|-
−
|7:57
+
|07:57
−
|A dialog box opens
+
|A dialog box opens.
  
 
|-
 
|-
−
|8:00
+
|08:00
−
|Type value of 2 in the number field
+
|Type value of 2 in the number field.
  
 
|-
 
|-
−
|8:04
+
|08:04
−
|Click on OK
+
|Click on '''OK'''.
 
 
 
|-
 
|-
−
|8:09
+
|08:09
−
|This will dilate or enlarge the object twice
+
|This will dilate or enlarge the object twice.
  
 
|-
 
|-
−
|8:16
+
|08:16
−
|Click on Segment Between two Points, join points H,E,E'  
+
|Click on segment between two Points, join points H,E,E'.
  
 
|-
 
|-
−
|8:33
+
|08:33
−
|join points H,G,G'  
+
|join points H,G,G'.
  
 
|-
 
|-
−
|9:01
+
|09:01
−
|join points H,F,F'
+
|join points H,F,F'.
 
 
 
|-
 
|-
−
|9:15
+
|09:15
−
|Here you can see that H is the point of dilation
+
|Here, you can see that H is the point of dilation.
  
 
|-
 
|-
−
|9:21
+
|09:21
−
|You can enlarge object as number of times as you wish, by typing the value of Factor  
+
|You can enlarge object as many number of times as you wish, by typing the value of '''Factor'''.
  
 
|-
 
|-
−
|9:28
+
|09:28
−
|Let us save this file now
+
|Let us save this file now.
  
 
|-
 
|-
−
|9:30
+
|09:30
−
|Click on “File”>> "Save As"
+
|Click on '''File''' >> '''Save As'''.
  
 
|-
 
|-
−
|9:33
+
|09:33
−
|I will type the file name as "Dilate-triangle"
+
|I will type the file name as '''Dilate-triangle'''.
  
 
|-
 
|-
−
|9:48
+
|09:48
−
|Click on “Save” with this we come to the end of this tutorial  
+
|Click on '''Save'''. With this we come to the end of this tutorial.
  
 
|-
 
|-
−
|9:55
+
|09:55
−
|Let's summarize
+
|Let's summarize.
  
 
|-
 
|-
−
|9:58
+
|09:58
−
|In this tutorial we learnt
+
|In this tutorial we learnt:
  
 
|-
 
|-
 
|10:00
 
|10:00
−
|Reflection about a line  
+
|Reflection about a line.
  
 
|-
 
|-
 
|10:02
 
|10:02
−
|Rotation of an object at a point  
+
|Rotation of an object at a point.
  
 
|-
 
|-
 
|10:05
 
|10:05
−
|Enlargement of an object by a scale factor  
+
| Enlargement of an object by a scale factor.
  
 
|-
 
|-
 
|10:09
 
|10:09
−
|As an assignment I would like you to
+
|As an assignment I would like you to:
  
 
|-
 
|-
 
|10:11
 
|10:11
−
|Draw a Pentagon
+
|Draw a pentagon.Use '''Regular Polygon''' tool to draw. (Hint:sides=5).
−
 
+
−
|-
+
−
|10:12
+
−
|Use Regular Polygon tool to draw(Hint:sides=5)
+
  
 
|-
 
|-
 
|10:17
 
|10:17
−
|Draw a Perpendicular bisector to one of the sides of the pentagon
+
|Draw a perpendicular bisector to one of the sides of the pentagon.
  
 
|-
 
|-
 
|10:21
 
|10:21
−
|Create a point in side the pentagon
+
|Create a point inside the pentagon.
  
 
|-
 
|-
 
|10:25
 
|10:25
−
|Set trace On for the point
+
|Set '''Trace On''' for the point.
  
 
|-
 
|-
 
|10:27
 
|10:27
−
|Get reflection of the point about the perpendicular bisector
+
|Get reflection of the point about the perpendicular bisector.
  
 
|-
 
|-
 
|10:31
 
|10:31
−
|Set trace On for the image point
+
|Set '''Trace On''' for the image point.
  
 
|-
 
|-
 
|10:34
 
|10:34
−
|Trace the pentagon to see if you have selected the correct line of symmetry
+
|Trace the pentagon to see if you have selected the correct line of symmetry.
  
 
|-
 
|-
 
|10:44
 
|10:44
−
|Rotate the original pentagon counter clockwise in 135° at a point
+
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|11:12
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|The Spoken Tutorial Project Team :
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|The Spoken Tutorial Project Team : Conducts workshops using the spoken tutorials.
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|Gives certificates to those who pass an online test.
  
 
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|For more details, please write to
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contact@spoken-tutorial.org
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|Spoken Tutorial Project is a part of the Talk to a Teacher project
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|Spoken Tutorial Project is a part of the Talk to a Teacher project.
  
 
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|This is Neeta Sawant from SNDT University Mumbai signing off.
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|This is Neeta Sawant from SNDT University Mumbai, signing off.Thanks for joining.
  
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Thanks for joining
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Latest revision as of 18:02, 7 March 2017

Time Narration
00:00 Hello everybody. Welcome to this tutorial on Symmetrical Transformation in Geogebra.
00:06 In this tutorial we will learn Symmetrical transformations such as:
00:11 Line symmetry Rotation symmetry
00:13 and also learn to enlarge figure with scale and position.
00:17 We assume that you have the basic working knowledge of Geogebra.
00:21 If not, for relevant tutorials, please visit our website.
00:26 To record this tutorial, I am using Ubuntu Linux OS Version 11.10,
00:31 Geogebra Version 3.2.47.0.
00:35 We will use the following Geogebra tools:
00:37 Reflect Object about Line
00:39 Rotate Object around Point by Angle
00:42 Dilate object from a Point by Factor
00:45 Semicircle through Two points
00:47 Regular Polygon and
00:49 Perpendicular bisector
00:51 Definition of Transformation-
00:53 Symmetrical transformation of a geometric figure is:
00:57 A change in its position, size or shape on a coordinate plane.
01:02 Original figure is called Object.
01:04 Transformed figure is called Image.
01:07 Reflection symmetry:
01:09 Is also called as Line symmetry.
01:11 A type of symmetry where one half is the reflection of the other half.
01:15 You could fold the image and have both halves match exactly.
01:20 Line of Symmetry is the line over which the figure is reflected.
01:24 Let's switch to Geogebra window.
01:27 Look on Dash home >> Media Apps >> under Type >> choose Education >> and Geogebra.
01:37 For this tutorial, I am closing the Algebric view.
01:40 Click on Close button on Algebric view.
01:47 Let's start with Line of symmetry.
01:50 First, let's construct an equilateral triangle.
01:53 Select Regular Polygon tool from the toolbar.
01:57 Click on drawing pad points A ,B, and enter 3 for the number of sides.
02:08 An equilateral triangle ABC is drawn.
02:11 Let's draw a perpendicular bisector to one of the sides of triangle.
02:15 Select Perpendicular Bisector Tool and click on side AC.
02:26 Select the Point tool and create a point inside the triangle.
02:31 Move the point D towards one of the vertices .
02:38 Right click on point D and select Trace On.
02:43 Select Reflect Object about Line tool from the tool bar.
02:48 Click on the point D.This will highlight point D.
02:52 Click on Perpendicular Bisector.
02:55 This will produce reflected image D' on the other side of perpendicular bisector.
03:01 D' is mirror image of point D.
03:04 Set Trace On for the point D.
03:08 Let us move the point D along the triangle, using Move tool.
03:11 Click on the first option under Move tool from the toolbar.
03:22 Click on figure with the mouse.
03:25 Drag it tracing the triangle .
03:28 Now release the mouse button.
03:31 What do you notice ? Here perpendicular bisector is the line of symmetry.
03:36 D is the object and D' is the image.
03:39 Let's reflect a semicircle about a line.
03:43 Let's draw a semicircle.Click on the Semicircle through Two points tool. Mark point E and then F.
03:56 Click on segment between two points.
04:02 Mark points G and H. A line is drawn.
04:06 Let's change the property of the line.
04:08 Right click on the line, Object Properties. Click on Style, change Style.
04:21 Select Reflect Object about Line tool from the toolbar.
04:27 Click on the semicircle EF.
04:31 Click on line GH.
04:34 This will produce the reflected image E'F' on the other side of line GH. What does the figure look like now ? It looks like a circle.
04:45 Let us save this file now.
04:47 Click on File Save As.
04:50 I will type the file name as Line-symmetry and click on Save.
05:05 Next, let us learn to Rotate the Object around a Point by Angle.
05:12 Definition of Rotation-
05:15 A rotation is a transformation that turns a figure around a fixed center by an angle.
05:21 If the figure appears unchanged then the figure has rotation symmetry.
05:29 You can rotate object at any degree measure. Rotation can be clockwise and counterclockwise.
05:39 Let's open a new Geogebra window.
05:41 click on File New.
05:47 Let us construct a square.
05:49 click on Regular Polygon tool from the toolbar.
05:55 Click on the drawing pad.
05:57 Mark points A and B.
05:59 A dialog box opens.
06:01 Click on OK.
06:03 A square ABCD is drawn.
06:05 Click on Rotate Object around a Point by Angle tool.
06:13 Click on the Square ABCD.
06:16 This will highlight the square.
06:18 Next Click on any one of the vertices.
06:20 I will click on A.
06:23 A dialog box opens.
06:25 Type 60 in the Angle field
06:30 Select °(Degree) from first drop down list.
06:35 Select the option clockwise. Click on OK.
06:40 This will rotate the square clockwise at the point of selection, with the angle of 60°.
06:44 The rotated image A`B`C`D` is formed.
06:49 Let's move this figure aside using Move tool.
07:00 Next, let's dilate or enlarge object from point by factor.
07:09 Dilation:
07:11 Dilation or enlargement is a transformation
07:14 in which a figure is enlarged using a scale factor.
07:23 Let's draw a triangle using the Polygontool,
07:28 E , F , G. Click on E again to complete the triangle.
07:36 Click on New Point tool and
07:40 mark a point H.
07:44 Click on Dilate Object from Point by Factor tool.
07:51 Click on the triangle EFG.
07:54 This will highlight the triangle.
07:55 Click on the point 'H'.
07:57 A dialog box opens.
08:00 Type value of 2 in the number field.
08:04 Click on OK.
08:09 This will dilate or enlarge the object twice.
08:16 Click on segment between two Points, join points H,E,E'.
08:33 join points H,G,G'.
09:01 join points H,F,F'.
09:15 Here, you can see that H is the point of dilation.
09:21 You can enlarge object as many number of times as you wish, by typing the value of Factor.
09:28 Let us save this file now.
09:30 Click on File >> Save As.
09:33 I will type the file name as Dilate-triangle.
09:48 Click on Save. With this we come to the end of this tutorial.
09:55 Let's summarize.
09:58 In this tutorial we learnt:
10:00 Reflection about a line.
10:02 Rotation of an object at a point.
10:05 Enlargement of an object by a scale factor.
10:09 As an assignment I would like you to:
10:11 Draw a pentagon.Use Regular Polygon tool to draw. (Hint:sides=5).
10:17 Draw a perpendicular bisector to one of the sides of the pentagon.
10:21 Create a point inside the pentagon.
10:25 Set Trace On for the point.
10:27 Get reflection of the point about the perpendicular bisector.
10:31 Set Trace On for the image point.
10:34 Trace the pentagon to see if you have selected the correct line of symmetry.
10:44 Rotate the original pentagon counter clockwise in 135° at a point.
10:49 Dilate the pentagon at a point by the factor of 3.
10:56 The assignment should look like this.
11:03 Watch the video available at this URL.
11:06 It summarizes the Spoken Tutorial project.
11:09 If you do not have good bandwidth,you can download and watch it.
11:12 The Spoken Tutorial Project Team : Conducts workshops using the spoken tutorials.
11:17 Gives certificates to those who pass an online test.
11:20 For more details, please write to contact@spoken-tutorial.org.
11:26 Spoken Tutorial Project is a part of the Talk to a Teacher project.
11:29 It is supported by the National Mission on Education through ICT, MHRD, Government of India.
11:35 More information on this Mission is available at this link.
11:39 This is Neeta Sawant from SNDT University Mumbai, signing off.Thanks for joining.

Contributors and Content Editors

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

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