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!'''Time'''
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|'''Time'''
!'''Narration'''
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|'''Narration'''
 
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|-
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|00:00
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| নমস্কাৰ বন্ধুসকল। জীয়োজেব্রাত প্ৰতিসম ৰুপান্তৰৰ(Symmetrical-Transformation) এই টিউটোৰিয়েললৈ আপোনাক স্বাগত জনাইছো।
+
 
+
 
|-
 
|-
|00:06
+
|00:00
| এই টিউটোৰিয়েলত আমি প্ৰতিসম ৰুপান্তৰ(Symmetrical transformations) শিকিম যেনে-
+
|Hello everybody. Welcome to this tutorial on '''Symmetrical Transformation''' in '''Geogebra'''.
  
 
|-
 
|-
|00:11
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|00:06
| ৰেখা প্ৰতিসাম্য (Line symmetry)
+
|In this tutorial we will learn Symmetrical transformations such as:
  
 
|-
 
|-
|00:12
+
|00:11
| ঘূর্ণন প্ৰতিসাম্য (Rotation symmetry)
+
| Line symmetry Rotation symmetry  
  
 
|-
 
|-
|00:13  
+
|00:13
| লগতে, স্কেল আৰু positionৰ দ্বাৰা চিত্রৰ বৃদ্ধি কৰাও শিকিম।
+
|and also learn to enlarge figure with scale and position.
  
 
|-
 
|-
|00:17  
+
|00:17
| আমি ধৰি লও যে, আপোনাৰ জীয়োজেব্রা সম্পর্কে মৌলিক জ্ঞান আছে।
+
|We assume that you have the basic working knowledge of Geogebra.
  
 
|-
 
|-
|00:21  
+
|00:21
| যদি নাই, প্রাসঙ্গিক টিউটোৰিয়েলৰ বাবে আমাৰ ওয়েবসাইট পৰিদর্শন কৰক।
+
|If not, for relevant tutorials, please visit our website.
  
 
|-
 
|-
|00:26  
+
|00:26
| এই টিউটোৰিয়েলটো ৰেকর্ড কৰাৰ বাবে, আমি লিনাক্স অপাৰেটিং সিস্টেমৰ উবুন্টু সংস্কৰণ 11.10  
+
|To record this tutorial, I am using '''Ubuntu Linux OS Version 11.10''',
  
 
|-
 
|-
|00:31  
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|00:31
| জীয়োজেব্রা সংস্কৰণ 3.2.47.0 ব্যবহাৰ কৰিছো।
+
|'''Geogebra Version 3.2.47.0'''.
  
 
|-
 
|-
|00:35  
+
|00:35
| আমি নিম্নলিখিত জীয়োজেব্রা সৰঞ্জামবোৰ ব্যবহাৰ কৰিম।
+
|We will use the following Geogebra tools:
  
 
|-
 
|-
|00:37  
+
|00:37
| Reflect Object about Line  
+
|Reflect Object about Line  
  
 
|-
 
|-
|00:39  
+
|00:39
| Rotate Object around Point by Angle  
+
|Rotate Object around Point by Angle  
  
 
|-
 
|-
|00:42  
+
|00:42
| Dilate object from a Point by Factor  
+
|Dilate object from a Point by Factor  
  
 
|-
 
|-
|00:45  
+
|00:45
| Semicircle through Two points  
+
|Semicircle through Two points  
  
 
|-
 
|-
|00:47  
+
|00:47
 
| Regular Polygon and  
 
| Regular Polygon and  
  
 
|-
 
|-
|00:49  
+
|00:49
| Perpendicular bisector  
+
|Perpendicular bisector  
  
 
|-
 
|-
|00:51  
+
|00:51
| ৰুপান্তৰৰ('''Transformation''') সংজ্ঞা।
+
|Definition of '''Transformation'''-
  
 
|-
 
|-
|00:53  
+
|00:53
| জ্যামিতিক চিত্রৰ প্ৰতিসম ৰুপান্তৰ হল-
+
|Symmetrical transformation of a geometric figure is:
  
 
|-
 
|-
|00:57  
+
|00:57
| স্থানাঙ্ক তল (coordinate plane)ৰ উপৰৰ অবস্থান, আকাৰ বা আকৃতিৰ পৰিবর্তন।
+
| A change in its position, size or shape on a coordinate plane.
  
 
|-
 
|-
|01:02  
+
|01:02
| মূল চিত্ৰক 'object' বোলা হয়।
+
| Original figure is called '''Object'''.
  
 
|-
 
|-
|01:04  
+
|01:04
| ৰুপান্তৰিত চিত্ৰক 'image' বোলা হয়।
+
| Transformed figure is called '''Image'''.
  
 
|-
 
|-
|01:07  
+
|01:07
| প্ৰতিফলন প্ৰতিসাম্যক('''Reflection symmetry)'''.
+
|'''Reflection symmetry''':
  
 
|-
 
|-
|01:09  
+
|01:09
| ৰেখা প্ৰতিসাম্য-ও( '''Line symmetry''') বোলা হয়।
+
| Is also called as '''Line symmetry'''.
  
 
|-
 
|-
|01:11  
+
|01:11
| এইটো হল প্ৰতিসাম্যৰ এক ধৰন, যত এটাৰ অর্ধাংশ ইটোৰ অর্ধাংশৰ প্ৰতিফলন হয়।
+
|A type of symmetry where one half is the reflection of the other half.
  
 
|-
 
|-
|01:15  
+
|01:15
| আপোনি চিত্ৰক ভাঁজ কৰিব পাৰে আৰু উভয় অর্ধাংশক সঠিকভাবে মিলাব পাৰে।
+
|You could fold the image and have both halves match exactly.
  
 
|-
 
|-
|01:20  
+
|01:20
| ৰেখা প্ৰতিসাম্য সেই ৰেখা হয়, যাৰ উপৰত চিত্ৰ প্ৰতিফলিত হয়।
+
|Line of Symmetry is the line over which the figure is reflected.
  
 
|-
 
|-
|01:24  
+
|01:24
| জীয়োজেব্রা উইন্ডোত যোৱা যাওক।
+
|Let's switch to Geogebra window.
  
 
|-
 
|-
|01:27  
+
|01:27
| Dash home >>Media Apps>>Type >> Education নির্বাচন কৰক >> আৰু জীয়োজেব্রা চাওক।
+
|Look on '''Dash home''' >> '''Media Apps''' >> under '''Type''' >> choose '''Education''' >> and '''Geogebra'''.
  
 
|-
 
|-
|01:37  
+
|01:37
| এই টিউটোৰিয়েলৰ বাবে আমি বীজগাণিতিক (Algebric) ভিউ বন্ধ কৰিছো।
+
|For this tutorial, I am closing the '''Algebric view'''.
  
 
|-
 
|-
|01:40  
+
|01:40
| বীজগাণিতিক (Algebric) ভিউত close বোতামত টিপক।
+
|Click on Close button on '''Algebric view'''.
  
 
|-
 
|-
|01:47  
+
|01:47
| “Line of symmetry”ৰ সৈতে আৰম্ভ কৰা যাওক।
+
|Let's start with '''Line of symmetry'''.
  
 
|-
 
|-
|01:50  
+
|01:50
| প্ৰথমে এটা সমবাহু(equilateral) ত্রিভুজ গঠন কৰক।
+
|First, let's construct an equilateral triangle.
  
 
|-
 
|-
|01:53  
+
|01:53
| টুলবাৰ পৰা “Regular Polygon” টুল নির্বাচন কৰক।
+
|Select '''Regular Polygon''' tool from the toolbar.
  
 
|-
 
|-
|01:57  
+
|01:57
| অঙ্কন প্যাডত বিন্দু 'A', 'B' ত টিপক, আৰু দিশৰ সংখ্যাৰ বাবে 3 লিখক।
+
|Click on drawing pad points '''A''' ,'''B''', and enter 3 for the number of sides.
  
 
|-
 
|-
|02:08  
+
|02:08
| এটা সমবাহু ত্রিভুজ 'ABC' তৈয়াৰ হৈ গৈছে।
+
|An equilateral triangle '''ABC''' is drawn.
  
 
|-
 
|-
|02:11  
+
|02:11
| এতিয়া ত্রিভুজৰ এক ফালে এটা উল্লম্ব দ্বিখণ্ডক আঁকা যাওক।
+
|Let's draw a perpendicular bisector to one of the sides of triangle.
  
 
|-
 
|-
|02:15  
+
|02:15
| “Perpendicular Bisector Tool” নির্বাচন কৰক আৰু AC ত টিপক।
+
|Select '''Perpendicular Bisector Tool''' and click on side AC.
  
 
|-
 
|-
|02:26  
+
|02:26
| Point টুল নির্বাচন কৰক আৰু ত্রিভুজৰ ভিতৰত এটা বিন্দু তৈয়াৰ কৰক।
+
|Select the '''Point''' tool and create a point inside the triangle.
  
 
|-
 
|-
|02:31  
+
|02:31
| কোনো এক শীর্ষৰ ফালে বিন্দু D ক স্থানান্তৰিত কৰক।
+
|Move the point D towards one of the vertices .
  
 
|-
 
|-
|02:38  
+
|02:38
| বিন্দু Dৰ উপৰত ৰাইট ক্লিক কৰক আৰু Trace ON নির্বাচন কৰক।
+
|Right click on point D and select '''Trace On'''.
  
 
|-
 
|-
|02:43  
+
|02:43
| টুলবাৰ পৰা “Reflect Object about Line” টুল নির্বাচন কৰক।
+
|Select '''Reflect Object about Line''' tool from the tool bar.
  
 
|-
 
|-
|02:48  
+
|02:48
| বিন্দু D ত টিপক।
+
|Click on the point D.This will highlight point D.
  
 
|-
 
|-
|02:49
+
|02:52
| এইটোৱে বিন্দু D ক লক্ষণীয় কৰিব।
+
|Click on '''Perpendicular Bisector'''.
  
 
|-
 
|-
|02:52
+
|02:55
| perpendicular Bisector (উল্লম্ব দ্বিখণ্ডক)ত টিপক।
+
|This will produce reflected image D' on the other side of perpendicular bisector.
  
 
|-
 
|-
|02:55
+
|03:01
| এইটোৱে উল্লম্ব দ্বিখণ্ডকতৰ অন্য ফালে প্ৰতিফলিত ছবি D ক প্ৰদর্শিত কৰিব।
+
|'''D' '''is mirror image of point '''D'''.
  
 
|-
 
|-
|03:01
+
|03:04
| বিন্দু D, 'D'ৰ প্ৰতিবিম্বিত ছবি।
+
|Set '''Trace On''' for the point '''D'''.
 
+
 
|-
 
|-
|03:04
+
|03:08
| বিন্দু D'ৰ বাবে Trace On নির্বাচন কৰক।
+
|Let us move the point D along the triangle, using '''Move''' tool.
  
 
|-
 
|-
|03:08
+
|03:11
| Move টুলৰ ব্যবহাৰ কৰি ত্রিভুজৰে বিন্দু D ক স্থানান্তৰিত কৰক।
+
|Click on the first option under '''Move''' tool from the toolbar.
  
 
|-
 
|-
|03:11
+
|03:22
| টুলবাৰত Move টুলৰ তলত প্ৰথম বিকল্পত টিপক।
+
|Click on figure with the mouse.
  
 
|-
 
|-
|03:22
+
|03:25
| মাউস দি চিত্রক(figure) টিপক।
+
|Drag it tracing the triangle .
  
 
|-
 
|-
|03:25
+
|03:28
| ত্রিভুজক ট্রেস কৰি এফালে টানি আনক।
+
|Now release the mouse button.
  
 
|-
 
|-
|03:28
+
|03:31
| এতিয়া মাউস বোতামক এৰি দিয়ক।
+
|What do you notice ? Here perpendicular bisector is the line of symmetry.
  
 
|-
 
|-
|03:31
+
|03:36
| আপোনি কি লক্ষ্য কৰিলে?
+
|'''D''' is the object and '''D' '''is the image.
 
+
 
|-
 
|-
|03:32
+
|03:39
| ইয়াত উল্লম্ব দ্বিখণ্ডক হল প্ৰতিসাম্য ৰেখা।
+
|Let's reflect a semicircle about a line.
  
 
|-
 
|-
|03:36
+
|03:43
| D হল অবজেক্ট আৰু D 'হল চিত্ৰ।
+
|Let's draw a semicircle.Click on the '''Semicircle through Two points''' tool. Mark point E and then F.
  
 
|-
 
|-
|03:39
+
|03:56
| এটা ৰেখা বৰাবৰ এটা অর্ধবৃত্ত প্ৰতিফলিত কৰক।
+
|Click on segment between two points.
  
 
|-
 
|-
|03:43
+
|04:02
| এটা অর্ধবৃত্ত আঁকা যাওক।
+
|Mark points G and H. A line is drawn.
  
 
|-
 
|-
|03:44
+
|04:06
| “Semicircle through Two points” টুলত টিপক, বিন্দু E আৰু তাৰপিছত F ক চিহ্নিত কৰক।
+
|Let's change the property of the line.
  
 
|-
 
|-
|03:56
+
|04:08
| segment Between two Pointsত টিপক।
+
|Right click on the line, '''Object Properties'''. Click on '''Style''', change Style.
  
 
|-
 
|-
|04:02
+
|04:21
| বিন্দু G আৰু H ক চিহ্নিত কৰক, এটা ৰেখা টানা হৈছে।
+
|Select '''Reflect Object about Line''' tool from the toolbar.
  
 
|-
 
|-
|04:06
+
|04:27
| ৰেখাৰ বৈশিষ্ট্যাবলী পৰিবর্তন কৰক।
+
|Click on the semicircle EF.
  
 
|-
 
|-
|04:08
+
|04:31
| ৰেখাৰ উপৰত ৰাইট ক্লিক কৰক, Object propertiesৰ উপৰত টিপক, Styleৰ উপৰত টিপক আৰু স্টাইল পৰিবর্তন কৰক।
+
|Click on line GH.
  
 
|-
 
|-
|04:21
+
|04:34
| টুলবাৰ পৰা “Reflect Object about Line” টুল নির্বাচন কৰক।
+
|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.
  
 
|-
 
|-
|04:27
+
|04:45
| অর্ধবৃত্ত EFৰ উপৰত টিপক।
+
|Let us save this file now.
  
 
|-
 
|-
|04:31
+
|04:47
| ৰেখা GHৰ উপৰত টিপক।
+
|Click on '''File''' '''Save As'''.
  
 
|-
 
|-
|04:34
+
|04:50
| এইটোৱে ৰেখা GHৰ অনয় প্রান্তত প্ৰতিফলিত ছবি E'F 'প্ৰদর্শিত কৰিব, চিত্ৰটো এতিয়া কেনে দেখাত হৈছে? এইটো এটা বৃত্তৰ নিচিনা দেখাত হয়।
+
|I will type the file name as '''Line-symmetry''' and click on '''Save'''.
 
+
 
|-
 
|-
|04:45
+
|05:05
| এতিয়া এই ফাইল সংৰক্ষণ কৰো।
+
|Next, let us learn to '''Rotate the Object around a Point by Angle'''.
  
 
|-
 
|-
|04:47
+
|05:12
| “File”>> "Save As"ত টিপক।
+
|Definition of Rotation-
  
 
|-
 
|-
|04:50
+
|05:15
| আমি ফাইলৰ নাম "Line-symmetry" লিখিম, আৰু "Save"ত টিপক।
+
|A rotation is a transformation that turns a figure around a fixed center by an angle.
  
 
|-
 
|-
|05:05
+
|05:21
| ইয়াৰ পিছত, “Rotate the Object around a Point by Angle” সম্পর্কে শিকিম।
+
|If the figure appears unchanged then the figure has rotation symmetry.
  
 
|-
 
|-
|05:12
+
|05:29
| ঘূর্ণনতৰ(Rotation) সংজ্ঞা।
+
|You can rotate object at any degree measure. Rotation can be clockwise and counterclockwise.
  
 
|-
 
|-
|05:15
+
|05:39
| ঘূর্ণন এটা ৰুপান্তৰ(transformation) হয়, যি চিত্ৰক এটা নির্দিষ্ট বিন্দুক কেন্দ্ৰ কৰি এটা কোণলৈ ঘোৰায়।
+
|Let's open a new Geogebra window.
  
 
|-
 
|-
|05:21
+
|05:41
| যদি চিত্ৰ অপৰিবর্তিত প্ৰদর্শিত হয়, তেনেহলে চিত্ৰটোত ঘূর্ণন প্ৰতিসাম্য আছে।
+
|click on '''File'''  '''New'''.
  
 
|-
 
|-
|05:29
+
|05:47
| আপোনি অবজেক্টক যিকোনো ডিগ্রী মাপত ঘোৰাব পাৰে, ঘূর্ণন ঘড়িৰ কাঁটাৰ ফালে আৰু বিপৰীত দিশৰ ফালে হব পাৰে।
+
|Let us construct a square.
 
+
 
|-
 
|-
|05:39
+
|05:49
| নতুন জীয়োজেব্রা উইন্ডো খোলক।
+
|click on '''Regular Polygon''' tool from the toolbar.
  
 
|-
 
|-
|05:41
+
|05:55
| “File” >> New টিপক।
+
|Click on the drawing pad.
  
 
|-
 
|-
|05:47
+
|05:57
| এটা বর্গক্ষেত্ৰ গঠন কৰক।
+
|Mark points '''A''' and '''B'''.
  
 
|-
 
|-
|05:49
+
|05:59
| টুলবাৰ পৰা “Regular Polygon” টুলৰ উপৰত টিপক।
+
|A dialog box opens.
  
 
|-
 
|-
|05:55
+
|06:01
| অঙ্কন প্যাডত টিপক।
+
|Click on '''OK'''.
  
 
|-
 
|-
|05:57
+
|06:03
| বিন্দু 'A' আৰু ' B'ক চিহ্নিত কৰক।
+
|A square '''ABCD''' is drawn.
  
 
|-
 
|-
|05:59
+
|06:05
| এটা ডায়লগ বাক্স প্ৰর্দশিত হব।
+
|Click on '''Rotate Object around a Point by Angle''' tool.
  
 
|-
 
|-
|06:01
+
|06:13
| OK ত টিপক।
+
|Click on the Square '''ABCD'''.
  
 
|-
 
|-
|06:03
+
|06:16
| এটা বর্গক্ষেত্ৰ 'ABCD' তৈয়াৰ হৈ গৈছে।
+
|This will highlight the square.
  
 
|-
 
|-
|06:05
+
|06:18
| “Rotate Object around a Point by Angle” টুলৰ উপৰত টিপক।
+
|Next Click on any one of the vertices.
  
 
|-
 
|-
|06:13
+
|06:20
| বর্গক্ষেত্ৰ 'ABCD' ত টিপক।
+
|I will click on '''A'''.
  
 
|-
 
|-
|06:16
+
|06:23
| এইটোৱে বর্গক্ষেত্ৰক লক্ষণীয় কৰিব।
+
|A dialog box opens.
  
 
|-
 
|-
|06:18
+
|06:25
| এতিয়া যি কোনো এটা শীর্ষত টিপক।
+
|Type '''60''' in the '''Angle''' field
  
 
|-
 
|-
|06:20
+
|06:30
| আমি 'A'-ত টিপিম।
+
|Select '''°'''(Degree) from first drop down list.
  
 
|-
 
|-
|06:23
+
|06:35
| এটা ডায়লগ বাক্স প্ৰর্দশিত হব।
+
|Select the option '''clockwise'''. Click on '''OK'''.
  
 
|-
 
|-
|06:25
+
|06:40
| কোণ('''Angle''' ) ক্ষেত্রত "60" লিখক।
+
|This will rotate the square clockwise at the point of selection, with the angle of 60°.
  
 
|-
 
|-
|06:30
+
|06:44
| প্ৰথম ড্ৰপ ডাউন তালিকাৰ পৰা "°"(Degree) নির্বাচন কৰক।
+
|The rotated image '''A`B`C`D`''' is formed.
 
+
 
|-
 
|-
|06:35
+
|06:49
| “clockwise” বিকল্প নির্বাচন কৰক। OK টিপক।
+
|Let's move this figure aside using '''Move''' tool.
  
 
|-
 
|-
|06:40
+
|07:00
| এইটোৱে 60° কোণৰ সৈতে নির্বাচন বিন্দুত বর্গক্ষেত্ৰক ঘড়িৰ কাঁটাৰ ফালে ঘোড়াব।
+
|Next, let's '''dilate''' or '''enlarge object from point by factor.'''
  
 
|-
 
|-
|06:44
+
|07:09
| ঘুর্ণিত চিত্ৰ 'A `B`C`' D' গঠিত হৈছে।
+
|'''Dilation''':
  
 
|-
 
|-
|06:49
+
|07:11
| Move টুল ব্যবহাৰ কৰি এই চিত্ৰটোক আশে পাশে ঘোৰাওক।
+
|Dilation or enlargement is a transformation
  
 
|-
 
|-
|07:00
+
|07:14
| ইয়াৰ পিছত, “Dilate or enlarge object from point by factor”
+
|in which a figure is enlarged using a scale factor.
  
 
|-
 
|-
|07:09
+
|07:23
| প্ৰসাৰণ('''Dilation''')
+
|Let's draw a triangle using the '''Polygon'''tool,
  
 
|-
 
|-
|07:11
+
|07:28
| প্ৰসাৰণ বা পৰিবর্ধন এটা ৰুপান্তৰ(Dilation or enlargement is a transformation )।
+
|E , F , G. Click on E again to complete the triangle.
  
 
|-
 
|-
|07:14
+
|07:36
| যত মান গুণক(scale factor) ব্যবহাৰ কৰি চিত্রৰ বিস্তাৰ(enlarged) কৰা হয়।
+
|Click on '''New Point''' tool and
  
 
|-
 
|-
|07:23
+
|07:40
| “Polygon” টুলৰ ব্যবহাৰ কৰি ত্রিভুজ আঁকক।
+
|mark a point '''H'''.
  
 
|-
 
|-
|07:28
+
|07:44
| E, F, G আৰু ত্রিভুজক সম্পূর্ণ কৰাৰ বাবে এবাৰ E টিপক।
+
|Click on '''Dilate Object from Point by Factor''' tool.
  
 
|-
 
|-
|07:36
+
|07:51
| New Point টুলত টিপক, আৰু...  
+
|Click on the triangle '''EFG'''.
  
 
|-
 
|-
|07:40
+
|07:54
| বিন্দু 'H' ক চিহ্নিত কৰক।
+
|This will highlight the triangle.
  
 
|-
 
|-
|07:44
+
|07:55
| “Dilate Object from Point by Factor” টুলৰ উপৰত টিপক।
+
|Click on the point 'H'.
  
 
|-
 
|-
|07:51
+
|07:57
| ত্রিভুজ 'EFG' ত টিপক।
+
|A dialog box opens.
  
 
|-
 
|-
|07:54
+
|08:00
| এইটোৱে ত্রিভুজক লক্ষণীয় কৰিব।
+
|Type value of 2 in the number field.
  
 
|-
 
|-
|07:55
+
|08:04
| বিন্দু 'H' টিপক।
+
|Click on '''OK'''.
 
+
 
|-
 
|-
|07:57
+
|08:09
| এটা ডায়লগ বাক্স প্ৰর্দশিত হব।
+
|This will dilate or enlarge the object twice.
  
 
|-
 
|-
|08:00
+
|08:16
| সংখ্যা ক্ষেত্রত(number field) মান 2 লিখক।
+
|Click on segment between two Points, join points H,E,E'.
  
 
|-
 
|-
|08:04
+
|08:33
| OK টিপক।
+
|join points H,G,G'.
  
 
|-
 
|-
|08:09  
+
|09:01
| এইটোৱে অবজেক্টৰ দ্বিগুণ - বিস্তাৰ বা সম্প্ৰসাৰন(dilate or enlarge) কৰিব।
+
|join points H,F,F'.
 
+
 
|-
 
|-
|08:16
+
|09:15
| Segment Between two Pointsত টিপক, বিন্দু H,E,E' ক যুক্ত কৰক।
+
|Here, you can see that H is the point of dilation.
  
 
|-
 
|-
|08:33
+
|09:21
| বিন্দু H,G,G' ক যুক্ত কৰক।
+
|You can enlarge object as many number of times as you wish, by typing the value of '''Factor'''.
  
 
|-
 
|-
|09:01
+
|09:28
| বিন্দু H,F,F' ক যুক্ত কৰক।
+
|Let us save this file now.
  
 
|-
 
|-
|09:15
+
|09:30
| ইয়াত আপোনি দেখিব পাৰে যে H হল প্ৰসাৰণ(dilation) বিন্দু।
+
|Click on '''File''' >> '''Save As'''.
  
 
|-
 
|-
|09:21
+
|09:33
| আপোনি গুণকৰ('''Factor''') মান লিখি ইচ্ছা মতে, অবজেক্টক সম্প্ৰসাৰন কৰিব পাৰে।
+
|I will type the file name as '''Dilate-triangle'''.
  
 
|-
 
|-
|09:28
+
|09:48
| এতিয়া এই ফাইলক সংৰক্ষিত কৰো।
+
|Click on '''Save'''. With this we come to the end of this tutorial.
  
 
|-
 
|-
|09:30
+
|09:55
| “File”>> "Save As" টিপক।
+
|Let's summarize.
  
 
|-
 
|-
|09:33
+
|09:58
| আমি ফাইলৰ নাম "Dilate-triangle" লিখিম।
+
|In this tutorial we learnt:
  
 
|-
 
|-
|09:48
+
|10:00
| "Save" বোতামত টিপক, ইয়াৰ সৈতে আমি এই টিউটোৰিয়েলৰ শেষলৈ আহিছো।
+
|Reflection about a line.
  
 
|-
 
|-
|09:55
+
|10:02
| সংক্ষেপে...  
+
|Rotation of an object at a point.  
  
 
|-
 
|-
|09:58
+
|10:05
| এই টিউটোৰিয়েলত আমি শিকিছো,
+
| Enlargement of an object by a scale factor.
  
 
|-
 
|-
|10:00
+
|10:09
| ৰেখাৰ প্ৰতিফলন(Reflection) সম্পর্কে।
+
|As an assignment I would like you to:
  
 
|-
 
|-
|10:02
+
|10:11
| বিন্দুৰ সাপেক্ষে এটা অবজেক্টৰ ঘূর্ণন।
+
|Draw a pentagon.Use '''Regular Polygon''' tool to draw. (Hint:sides=5).
  
 
|-
 
|-
|10:05
+
|10:17
| মান গুণকৰ(scale factor) দ্বাৰা অবজেক্টৰ পৰিবর্ধন(Enlargement) কৰা।
+
|Draw a perpendicular bisector to one of the sides of the pentagon.
  
 
|-
 
|-
|10:09
+
|10:21
| নির্দেশিত কাম হিসাবে আপোনি...  
+
|Create a point inside the pentagon.
  
 
|-
 
|-
|10:11
+
|10:25
| এটা পঞ্চভুজ( pentagon) আঁকক।
+
|Set '''Trace On''' for the point.
  
 
|-
 
|-
|10:12
+
|10:27
| আঁকিবলৈ Regular Polygon টুল ব্যবহাৰ কৰক। (Hint: sides=5)
+
|Get reflection of the point about the perpendicular bisector.
  
 
|-
 
|-
|10:17
+
|10:31
| পঞ্চভূজ- ৰ কোনো এটা দিশত উল্লম্ব দ্বিখণ্ডক(perpendicular bisector) আঁকক।
+
|Set '''Trace On''' for the image point.
  
 
|-
 
|-
|10:21
+
|10:34
| পঞ্চভূজ- ৰ ভিতৰত এটা বিন্দু তৈয়াৰ কৰক।
+
|Trace the pentagon to see if you have selected the correct line of symmetry.
  
 
|-
 
|-
|10:25
+
|10:44
| বিন্দুৰ বাবে Trace On স্থাপন কৰক।
+
|Rotate the original pentagon counter clockwise in 135° at a point.
  
 
|-
 
|-
|10:27
+
|10:49
| উল্লম্ব দ্বিখণ্ডকতৰ সাপেক্ষে বিন্দুৰ প্ৰতিফলন কৰক।
+
|Dilate the pentagon at a point by the factor of 3.
  
 
|-
 
|-
|10:31
+
|10:56
| ছবি বিন্দুৰ বাবে Trace On স্থাপন কৰক।
+
|The assignment should look like this.
  
 
|-
 
|-
|10:34
+
|11:03
| আপোনি সঠিক প্ৰতিসাম্য ৰেখা নির্বাচন কৰিছেনে নে নাই ইয়াক চাবলৈ, পঞ্চভূজতৰ অনুসৰণ কৰক।
+
|Watch the video available at this URL.
  
 
|-
 
|-
|10:44
+
|11:06
| মূল পঞ্চভূজক এটা বিন্দুত 135°ত ঘড়িৰ কাঁটাৰ বিপৰীত ফালে ঘোৰাওক।
+
|It summarizes the Spoken Tutorial project.
  
 
|-
 
|-
|10:49
+
|11:09
| 3 গুণক দ্বাৰা বিন্দুত পঞ্চভূজক বিস্তাৰ(Dilate) কৰক।
+
|If you do not have good bandwidth,you can download and watch it.
 
+
 
|-
 
|-
|10:56
+
|11:12
| নির্দেশিত কাম এইৰকমে দেখাত হোৱা উচিত।
+
|The Spoken Tutorial Project Team : Conducts workshops using the spoken tutorials.
  
 
|-
 
|-
|11:03
+
|11:17
| এই urlত উপলব্ধ ভিডিওটো চাওক।
+
|Gives certificates to those who pass an online test.
  
 
|-
 
|-
|11:06
+
|11:20
| এইটোৱে স্পোকেন টিউটোৰিয়েল প্ৰকল্পক সংক্ষেপে বিবৰণ কৰে।
+
|For more details, please write to contact@spoken-tutorial.org.
  
 
|-
 
|-
|11:09
+
|11:26
| যদি আপোনাৰ উছৰত ভাল ব্যান্ডউইডথ নাথাকে, তেনেহলে আপোনি ইয়াক ডাউনলোড কৰিও চাব পাৰে।
+
|Spoken Tutorial Project is a part of the Talk to a Teacher project.
  
 
|-
 
|-
|11:12
+
|11:29
| স্পোকেন টিউটোৰিয়েল প্ৰকল্প দলে স্পোকেন টিউটোৰিয়েল ব্যবহাৰ কৰি কর্মশালাৰও আয়োজন কৰে।
+
|It is supported by the National Mission on Education through ICT, MHRD, Government of India.
  
 
|-
 
|-
|11:17
+
|11:35
| যোনে অনলাইন পৰীক্ষা পাস কৰে তেখেতলোকক প্ৰশংসাপত্ৰ (সার্টিফিকেট)ও দিয়া হয়।
+
|More information on this Mission is available at this link.
  
 
|-
 
|-
|11:20
+
|11:39
| আৰো বিস্তাৰিত জানাৰ বাবে contact@spoken-tutorial.org ত লিখক।
+
|This is Neeta Sawant from SNDT University Mumbai, signing off.Thanks for joining.
  
|-
+
|}
|11:26
+
| স্পোকেন টিউটোৰিয়েল প্ৰকল্প talk to a teacher প্ৰকল্পৰ অংশবিশেষ।
+
 
+
|-
+
|11:29
+
| এইটো ভাৰত সৰকাৰৰ ICT, MHRD এৰ National Mission on Education দ্বাৰা সমর্থিত।
+
 
+
|-
+
|11:35
+
| এই সম্বন্ধে আৰু তথ্য এই ওয়েবসাইটত দেখিব পাৰে।
+
 
+
|-
+
|11:39
+
| এই পাঠটি অনামিকা মেধীৰ দ্ৱাৰা অনুবাদ কৰা হৈছে. মই মৌচূমী মেধি আই আই টি বম্বেৰ পৰা বিদায় লৈছো. অংশগ্ৰহন কৰাৰ বাবে ধন্যবাদ।
+

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