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

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|Original figure is called 'Object'
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|Click on drawing pad points 'A' ,'B', and enter 3 for the number of sides.
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|Set Trace On for the point D'
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|Click on the “Semicircle through Two points” tool Mark point E and then F  
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|I will type the file name as "Line-symmetry" and click on “Save”
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|I will type the file name as '''Line-symmetry''' and click on '''Save'''
 
 
 
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|Next, let us learn to “Rotate the Object around a Point by Angle”
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|Next, let us learn to '''Rotate the Object around a Point by Angle'''
  
 
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|click on “File” >> New
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|Mark points 'A' and 'B'  
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|A square 'ABCD' is drawn  
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|Click on “Rotate Object around a Point by Angle” tool
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|Click on '''Rotate Object around a Point by Angle''' tool
  
 
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|Click on the Square 'ABCD'
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|Type “60” in the Angle field
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|Type '''60''' in the Angle field
  
 
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|Select "°" from first drop down list
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|Select '''"°"''' from first drop down list
  
 
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|Select the option “clockwise”
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Click on OK
 
Click on OK
  
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|Next, let's '''Dilate or enlarge object from point by factor'''
  
 
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|Let's draw a triangle Using the “Polygon”tool
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|Mark a point 'H'  
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|Click on “Dilate Object from Point by Factor” tool  
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|Click on '''Dilate Object from Point by Factor''' tool  
  
 
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|Click on the triangle 'EFG'
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|I will type the file name as "Dilate-triangle"
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|I will type the file name as '''Dilate-triangle'''
  
 
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|Click on “Save” with this we come to the end of this tutorial  
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|Click on '''Save''' with this we come to the end of this tutorial  
  
 
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Revision as of 16:35, 2 September 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 Linetool 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 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 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
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

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