Geogebra/C3/Theorems-on-Chords-and-Arcs/Khasi

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Time Narration
00:01 Khublei iaphi baroh. Ngi pdiang sngewbha iaphi sha kane ka jinghikai/tutorial shaphang ka Theorems on Chords and Arcs in Geogebra.
00:08 Ha kaba kut jong kane ka jinghikai/tutorial,
00:09 phi lah ban pynshisha ia ki theorems shaphang ka :
00:14 Chords jong ka circle.
00:16 Arcs jong ka circle.
00:18 Ngi tharai ba phi lah don ia ki jingtip ba kumno ka Geogebra ka treikam.
00:23 lada em , na bynta ki jinghikai ba iadei , sngewbha leit ha ka website jong ngi: http://spoken-tutorial.org
00:30 Ban record ia kane ka jinghikai Nga pyndonkam da ka:
00:32 Ubuntu Linux OS Version 11.10
00:36 Geogebra Version 3.2.47.0
00:42 Ngin pyndonkam da ki Geogebra tools kiba harum:
00:47 Circle bad ka Center bad Radius
00:49 Circular Sector bad ka Center hapdeng Artylli ki Points
00:53 Circular Arc bad ka Center hapdeng Artylli ki points
00:56 U Midpoint bad
00:58 U Perpendicular line
01:00 Shah ngin open/plie ia ka GeoGebra window kaba thymmai.
01:02 Nion ha Dash home, Media Apps.
01:06 Hapoh Type, jied Education bad GeoGebra.
01:15 To ngin iathuh ia ka theorem:
01:17 "Perpendicular from the center of the circle to the chord bisects the chord".
01:23 Ka Perpendicular na ka center A jong ka circle sha ka chord BC ka bisects ia ka.
01:32 To ngin pynshisha ia ka theorem.
01:37 Na bynta kane ka jinghikai , Ngan pyndonkam da k Grid layout ha ka jaka jong ka Axes.
01:42 Right click ha u drawing pad.
01:44 Hapoh ka Graphic view, uncheck ia ka Axes.
01:47 Jied ia ka Grid.
01:51 To ngin draw/dro ia ka circle.
01:54 Jied ia ka Circle with Center and Radius tool na u tool bar.
01:58 Mark ia u point A ha u drawing pad.
02:01 Ka dialogue box ka open/plie.
02:03 Shah ngin type ia u value 3 na bynta u radius.
02:06 Nion OK.
02:07 Ka circle bad ka center A bad u radius 3cm u lah draw/dro.
02:13 To ngin pynkhih ia u point A bad peit ia ka jingkhih jong ka circle.
02:19 Jied Segment between two points tool.
02:22 Mark ia ki B bad C ha ka circumference jong ka circle.
02:27 Ka chord BC ka lah draw/dro.
02:30 To ngin draw/dro ia u perpendicular line/lain sha ka chord BC kaba pass lyngba u point A.
02:35 Nion ha Perpendicular Line tool na u tool bar.
02:39 Nion ha ka chord BC bad ha u point A.
02:44 To ngin pynkhih ia u point B bad peit kumno u perpendicular line/lain u khih ryngkat bad u point 'B'.
02:52 U Perpendicular line bad chord BC ki ia kynduh ha u point.
02:56 Nion ha ka Intersect Two Objects tool.
02:58 Mark ia ki point jong kiba ia kynduh kum u D.
03:03 To ngin pynshisha lada u D u dei u mid point jong ka chord BC.
03:08 Nion ha ka Distance tool.
03:11 Nion ha ki points B, D ...D, C .
03:19 Phin iohi ba ki jingjngai/distances BD bad DC ki ia ryngkat.
03:24 Kaba mut u D u dei u midpoint jong ka chord BC
03:29 To ngin thew ia ka angle CDA.
03:33 Nion ha ka Angle tool.
03:35 Nion ha ki points C, D, A,
03:42 Ka angle CDA ka long '90' degrees.
03:46 Ka theorem ka lah pynshisha.
03:50 To ngin pynkhih ia u point C bad peit kumno ki jingjngai ki khih ryngkat bad u point 'C'.
04:03 To ngin save ia ka file mynta.
04:05 Nion ha File >> Save As.
04:08 Ngan type ia ka file name/kyrteng jong ka file kum ka circle-chord.
04:12 circle-chord.
04:16 Nion ha Save.
04:21 To ngin iaid sha ka theorem kaba bud.
04:28 "Inscribed angles subtended by the same arc are equal".
04:34 Inscribed angles BDC bad BEC subtended da ka arc BC ba ia kajuh ki ia ryngkat.
04:44 To ngin pynshisha ia ka theorem.
04:48 To ngin open/plie ia ka Geogebra window kaba thymmai.
04:51 Nion ha File >> New.
04:55 To ngin draw/dro ia ka circle.
04:57 Nion ha ka Circle with Center through Point tool, na u toolbar.
05:01 Mark ia u point A kum ka centre,
05:04 bad nion biang ban ioh ia u point B.
05:10 To ngin draw/dro ia ka arc BC.
05:13 Nion ha ka Circular Arc with Center between Two Points.
05:17 Nion ha ki points A, B bad C ha ka circumference.
05:24 Ka arc BC ka lah draw/dro.
05:26 To ngin pynkylla ia ki properties jong ka arc BC.
05:30 Hapoh ka Algebra View,
05:32 Right click ha u object d.
05:35 Jied ia ka Object Properties.
05:37 Jied ia ka Color kum ka green, nion ha Close.
05:46 Nion ha ka New Point tool, mark ia ki points D bad E ha ka circumference jong ka circle.
05:56 To ngin subtend ia artylli ki angles na ka arc BC sha ki points D bad E.
06:03 Nion ha ka Polygon tool,
06:05 nion ha ki points E, B, D, C bad E sa shisien , ban pyndep ia ka figure/dur.
06:18 To ngin thew/measure ia ki angles BDC bad BEC.
06:26 Nion ha ka Angle tool,
06:28 Nion ha ki points B, D, C bad B, E, C.
06:40 Ngin iohi ba ki angles BDC bad BEC ki ia ryngkat.
06:51 To ngin iathuh ia ka theorem kaba bud.
06:55 "Ka Angle subtended da ka arc ha ka center ka long arshah ia ki inscribed angles subtended da ka arc kaba ia kajuh".
07:06 Ka Angle BAC subtended da ka arc BC ha u A ka long arshah ia ki inscribed angles BEC bad BDC, kaba subtended da ka arc kaba ia kajuh.
07:22 To ngin pynshisha ia ka theorem.
07:26 To ngin draw/dro ia ka sector ABC.
07:30 Nion ha ka Circular Sector with Center between Two Points tool.
07:35 Nion ha ki points A, B, C.
07:45 To ngin pynkylla ia ka rong/color jong ka sector ABC.
07:48 Right click ha ka sector ABC.
07:51 Jied ia ka Object Properties.
07:54 Jied ia ka Color kum ka Green. Nion ha Close.
08:00 To ngin thew ia ka angle BAC.
08:04 Nion ha ka Angle tool , nion ha ki points B, A, C.
08:15 Ka Angle BAC ka long arshah ia ki angles BEC bad BDC.
08:28 To ngin pynkhih ia u point C.
08:32 Phin iohi ba ka angle BAC ka long barabor arshah ia ki angles BEC bad BDC.
08:41 Na kata ka daw ki theorems ki lah pynshisha.
08:45 Bad kane, ngi poi sha kaba kut jong kane ka jinghikai.
08:48 To ngin ia batai lyngkot.
08:53 Hapoh kane ka jinghikai, ngi lah pule ban pynshisha ba ka:
08:57 Perpendicular na ka center sha ka chord ka bisects ia ka
09:00 Ki Inscribed angles subtended da kajuh ka arc ki ia ryngkat
09:06 Ka Central angle jong ka circle ka long arshah sha kano2 ka inscribed angle subtended da kajuh ka arc .
09:15 Kum ka assignment, Nga kwah iaphi ban pynshisha
09:19 ba ki chords jong ka circle kiba ia ryngkat ki ia ryngkat ka jingjngai na ka center.
09:24 Draw/dro ia ka circle.
09:25 Jied Segment bad ka length kaba la aina u point tool.
09:29 Pyndonkam ia u ban draw/dro ia artylli ki chords kiba ia ryngkat ka size.
09:33 Draw ia ki perpendicular lines na ka center sha ki chords.
09:37 Mark ia ki points jong kiba ia kynduh.
09:40 Measure/thew ia ki jingjngai jong ka perpendicular.
09:44 Ka output jong ka Assignment ka dei ban long kumne.
09:48 Peit ia ka video kaba lah ban ioh na kane ka url: http://spoken-tutorial.org/What is a Spoken Tutorial
09:51 Ka batai lyngkot ia ka Spoken Tutorial project.
09:53 Lada phim don ia ka bandwidth kaba biang , phi lah ban download bad peit ia ka.
09:58 Ka Spoken Tutorial Project Team :
10:00 ka pynlong ia ki workshops da kaba pyndonkam da ka spoken tutorials.
10:03 Ka ai certificates sha kito kiba pass ia ka online test.
10:06 Ia ki jingtip ba kham bniah , sngewbha write/thoh sha ka contact@spoken-tutorial.org.
10:14 Ka Spoken Tutorial Project ka dei ka bynta jong ka Talk to a teacher project.
10:18 La kyrshan ia ka da ka National Mission on Education lyngba ka ICT, MHRD, Government jong ka India.
10:25 Ia ki jingtip ba kham bniah halor kane ka mission lah ban ioh na kane ka link.
10:29 La pynkylla ia ane ka script da I Ribajanai wankhar bad nga dei u Thawlad miki, signing off . Khublei Shibun ba phi lah iasnohlang.

Contributors and Content Editors

PoojaMoolya, Ribajanai, Thaw

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