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
!Time
+
!'''Time'''
!Narration
+
!'''Narration'''
 
|-
 
|-
|0:00
+
|00:00
 
|Hello everybody.Welcome to this tutorial on Symmetrical Transformation in Geogebra  
 
|Hello everybody.Welcome to this tutorial on Symmetrical Transformation in Geogebra  
  
 
|-
 
|-
|0:06
+
|00:06
 
|In this tutorial we will learn Symmetrical transformations such as
 
|In this tutorial we will learn Symmetrical transformations such as
  
 
|-
 
|-
|0:11
+
|00:11
 
|Line symmetry  
 
|Line symmetry  
  
 
|-
 
|-
|0:12
+
|00:12
 
|Rotation symmetry  
 
|Rotation symmetry  
  
 
|-
 
|-
|0:13
+
|00:13
 
|and also learn to
 
|and also learn to
 
Enlarge figure with scale and position  
 
Enlarge figure with scale and position  
  
 
|-
 
|-
|0:17
+
|00:17
 
|We assume that you have the basic working knowledge of Geogebra
 
|We assume that you have the basic working knowledge of Geogebra
  
 
|-
 
|-
|0:21
+
|00:21
 
|If not, For relevant tutorials, Please visit our website
 
|If not, For relevant tutorials, Please visit our website
  
 
|-
 
|-
|0:26
+
|00:26
 
|To record this tutorial I am using
 
|To record this tutorial I am using
 
Ubuntu Linux OS Version 11.10
 
Ubuntu Linux OS Version 11.10
  
 
|-
 
|-
|0:31
+
|00:31
 
|Geogebra Version 3.2.47.0  
 
|Geogebra Version 3.2.47.0  
  
 
|-
 
|-
|0:35
+
|00:35
 
|We will use the following Geogebra tools
 
|We will use the following Geogebra tools
  
 
|-
 
|-
|0:37
+
|00:37
 
|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
  
 
|-
 
|-
|2:49
+
|02:49
 
|This will highlight Point D
 
|This will highlight Point D
  
 
|-
 
|-
|2:52
+
|02:52
 
|Click on perpendicular Bisector
 
|Click on perpendicular Bisector
  
 
|-
 
|-
|2:55
+
|02:55
 
|This will produce reflected image D' on the other side of perpendicular bisector  
 
|This will produce reflected image D' on the other side of perpendicular bisector  
  
 
|-
 
|-
|3:01
+
|03:01
 
|'D is mirror image of point 'D'
 
|'D is mirror image of point 'D'
  
 
|-
 
|-
|3:04
+
|03:04
 
|Set Trace On for the point D'
 
|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 ?
  
 
|-
 
|-
|3:32
+
|03:32
 
|Here perpendicular bisector is the line of symmetry
 
|Here perpendicular bisector is the line of symmetry
  
 
|-
 
|-
|3:36
+
|03:36
 
|D is the object and D' is the image
 
|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
+
|03:43
 
|Let's draw a semicircle
 
|Let's draw a semicircle
  
 
|-
 
|-
|3:44
+
|03:44
 
|Click on the “Semicircle through Two points” tool Mark point E and then F  
 
|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
  
Line 253: Line 253:
  
 
|-
 
|-
|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 "°" 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 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
  

Revision as of 12:08, 9 July 2014

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
00:12 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
02:49 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 ?
03:32 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
03:44 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
4:08 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 "°" 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 “Polygon”tool
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 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
9:58 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
10:12 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 in side 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 summarises 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