Difference between revisions of "Geogebra/C3/Tangents-to-a-circle/Khasi"
From Script | Spoken-Tutorial
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| − | |Ia kane ka script la pynkylla da i Ribajanai Wankhar. | + | |Ia kane ka script la pynkylla da i Ribajanai Wankhar . |
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|11:04 | |11:04 | ||
| − | |Khublei shibun ba phi | + | |Khublei shibun ba phi lah iasoh. |
Revision as of 16:19, 1 September 2017
| Time | Narration |
| 00:00 | Khublei iaphi baroh . Ngi pdiang sngewbha iaphi sha kane ka jinghikai halor ka Tangents to a circle in Geogebra. |
| 00:06 | Ha kaba kut jong kane ka jinghikai , phin lah ban draw/dro ia ki tangents sha ka circle, sngewthuh ia ki properties jong ki tangents. |
| 00:17 | Ngi tharai ba phi lah don katto katne ki jingtip shaphang kumno ka Geogebra ka treikam. |
| 00:22 | Lada em , na bynta ka jinghikai ba iadei , sngewbha leit ha ka website ka jong ngi http://spoken-tutorial.org. |
| 00:27 | Ban record ia kane ka jinghikai , Nga pyndonkam da ka Ubuntu Linux OS Version 11.10, Geogebra Version 3.2.47.0. |
| 00:41 | Ngin pyndonkam da ki Geogebra tools kiba harum :
Tangents Perpendicular Bisector Intersect two Objects Compass Polygon & Circle with Center and Radius. |
| 00:58 | To ngin open/plie ia ka Geogebra window kaba thymmai. |
| 01:01 | Click ha Dash home >> Media Applications. Hapoh Type, jied Education bad GeoGebra. |
| 01:13 | To ngin batai ia ki tangent sha ka circle. |
| 01:16 | "Tangent is a line that touches a circle at only one point". |
| 01:22 | U point uba ktah la khot "point of tangency". |
| 01:27 | Na bynta kane ka jinghikai, Ngan pyndonkam da ka Grid layout ha jaka jong ka "Axes", Right click ha u drawing pad. |
| 01:35 | Uncheck ia ka Axes, bad jied Grid. |
| 01:39 | To ngin draw/dro ia ka tangent sha ka circle. |
| 01:42 | Nyngkong to ngin draw/dro ia ka circle. |
| 01:45 | Jied Circle with Center and Radius tool na u toolbar. |
| 01:49 | Mark ia u point A ha u drawing pad. |
| 01:52 | Ka dialogue box ka plie/open. |
| 01:53 | to ngin type ia u value 3 na bynta u radius, click OK. |
| 01:58 | Ka circle bad ka centre A bad u radius 3 cm la draw/dro. |
| 02:04 | to ngin pynkynriah ia u point A & peit ba ka circle ka don ia u radius uba ia kajuh. |
| 02:09 | Nion ha u New Pointtool. Mark ia u point B shabar jong ka circle. |
| 02:15 | Jied ia ka Segment between Two Points tool. Pyniasoh ia ki points A bad B. ia U segment AB la draw/dro. |
| 02:25 | Jied ia ka Perpendicular Bisector tool, nion ha ki points A & B. Ka Perpendicular bisector sha u segment AB la draw/dro. |
| 02:37 | U Segment AB bad ka perpendicular bisector ki ia kynduh ha u point. Nion ha ka Intersect Two Objects tool. |
| 02:44 | Mark ia ki point jong kiba ia kynduh kum u C. to ngin pynkynriah ia u B & peit kumno ka perpendicular bisector bad u point C pynkynriah ryngkat bad u point B. |
| 02:59 | Kumno ban pynshisha ba u C u dei u midpoint jong u AB? |
| 03:02 | Nion ha ka Distance tool. Nion ha ki points A , C, C ,B. Phin iohi ba u
AC = CB ka pyni ba u C u dei u midpoint jong u AB. |
| 03:20 | Jied ia ka Compass tool na u tool bar, nion ha ki points C, B bad C sa shisien... ban pyndep ia ka figure/dur. |
| 03:30 | Artylli ki circles ki ia kynduh ha artylli ki points. |
| 03:33 | Nion ha ka Intersect Two Objects tool. Mark ia ki points jong ka jingiakynduh kum u D bad E. |
| 03:42 | Jied ia ka Segment between Two Points tool. |
| 03:45 | Pyniasoh ia ki points B, D bad B , E . |
| 03:53 | Ki Segments BD bad BE ki dei ki tangents sha ka circle c. |
| 03:59 | to ngin wad ia katto katne ki properties jong kine ki tangents sha ka circle. |
| 04:05 | Jied ia ka Segment between Two Points tool. |
| 04:08 | Pyniasoh ia ki points A, D bad A, E. |
| 04:14 | Hapoh ki triangles ADB bad ABE, segment AD= segment AE (radii jong ka circle 'c').
to ngin peit na ka Algebra View ba u segment AD= segment AE. |
| 04:34 | ∠ADB= ∠BEA, angle jong ka semicircle jong ka circle d. to ngin thew ia ka angle. |
| 04:48 | Click ha ka Angle tool. Click ha ki points A, D, B bad B, E, A, angles ki ia ryngkat/equal. |
| 05:03 | U Segment AB u iadei lang ha baroh arliang ki triangles, namarkat ka △ADB '≅' (is congruent to )△ABE da ka SAS rule jong ka congruency. |
| 05:20 | Ka pyni ba ki : tangents BD bad BE ki ia ryngkat/equal! |
| 05:26 | Na ka Algebra View, ngi lah ban wad ba ka tangents BD bad BE ki ia ryngkat/ equal. |
| 05:33 | Sngewbha peit ba ka tangent barabor ki don ha ka right angles sha u radius jong ka circle ha kaba ka ktah/touch.
to ngin pynkynriah ia u point B & peit kumno ba ki tangents ki khih ryngkat bad u point B. |
| 05:50 | to ngin save ia ka file mynta. Nion ha File>> Save As. |
| 05:54 | Ngan type ia ka file name kum ka Tangent-circle. Nion ha Save. |
| 06:08 | to ngin iathuh ia ka theorem. |
| 06:11 | "Angle between tangent and chord at the point of tangency is same as an inscribed angle subtended by the same chord".
Angle DFB ba hapdeng tangent & chord = inscribed angle FCB jong ka chord BF. |
| 06:34 | to ngin pynshisha ia ka theorem. |
| 06:38 | to ngin open/plie ia ka Geogebra window kaba thymmai. Click ha File >> New. to ngin draw/dro ia ka circle. |
| 06:48 | Click ha ka Circle with Center through Point tool na u tool bar . Mark ia u point A kum ka centre bad click sa shisien ban ioh ia u B. |
| 06:59 | Jied ia ka New Point tool. Mark ia u pointC ha ka circumference bad D shabar jong ka circle. |
| 07:06 | Jied ia ka Tangents tool na u toolbar. Nion ha u point D bad ha ka circumference. |
| 07:14 | Artylli ki tangents ki lah draw/dro sha ka circle. |
| 07:16 | Ki Tangents ki ia kynduh ha artylli ki points ha ka circle. |
| 07:20 | Nion ha ka Intersect Two Objects tool. Mark ia ki points jong kiba iadei kum u E bad F. |
| 07:28 | to ngin draw/dro ia ka triangle. Nion ha ka Polygon tool. |
| 07:31 | Nion ha ki points B, C, F bad B sa shisien ban pyndep ia ka figure/dur. |
| 07:41 | Hapoh ka figure/dur, BF ka dei ka chord sha ka circle c. |
| 07:45 | ∠FCB ka dei ka inscribed angle da ka chord sha ka circle c. |
| 07:53 | ∠DFB ka dei ka angle hapdeng ka tangent bad ka chord sha ka circle c. |
| 08:01 | to ngin thew/measure ia ki angles, nion ha ka Angle tool, nion ha ki points D, F, B bad F, C, B. |
| 08:14 | Phin iohi ba ka ∠DFB = ∠FCB. to ngin pynkynriah ia u point D & peit ba ki tangents bad ki chords ki iaid ryngkat bad u point 'D'. |
| 08:31 | to ngin save ia ka file mynta. Nion ha File >> Save As. |
| 08:36 | Ngan type ia ka file name kum ka Tangent-angle. Nion ha Save. Bad da kane , ngi la poi sha kaba kut jong kane ka jinghikai. |
| 08:50 | to ngin batai lyngkot. Ha kane ka jinghikai, ngi lah dep pule ban pynshisha ia ka: |
| 08:57 | Artylli ki tangents kiba draw/dro na u external point ki ia ryngkat/equal |
| 09:01 | Ka Angle hapdeng ka tangent bad u radius jong ka circle u long 90^0. |
| 09:07 | Ka Angle hapdeng ka tangent bad ka chord ki ia ryngkat/equal sha ka inscribed angle subtended da ka chord. |
| 09:14 | Kum ka assignment, Nga kwah iaphi ban pynshisha: |
| 09:17 | "Angle between two tangents drawn to a circle is supplementary to the angle subtended by the line-segment joining the points of contact at the centre ". |
| 09:30 | Ban pynshisha: Draw/Dro ia ka circle. Draw/Dro ia ki tangents na u external point. |
| 09:37 | Mark ia ki points kiba iadei/contact jong ki tangents. Pyniasoh ia ka centre jong ka circle sha ki points kiba iadei/contact. |
| 09:44 | Measure/Thew ia ka angle ha ka centre, measure/thew ia ka angle hapdeng ki tangents. |
| 09:49 | Kaei ka sum jong ki artylli ki angles kiba halor? Pyniasoh ia ka centre bad ka external point. |
| 09:55 | Hato u line-segment u bisect ia ka angle ha ka centre? Hint – Pyndonkam da ka Angle Bisector tool. |
| 10:05 | Ka output ka dei ban long kumne. |
| 10:08 | Ka Sum jong ki angles ka dei 180^0. U line segment u bisects ia ka angle. |
| 10:16 | Peit ia ka video kaba lah ban ioh na kane ka url http://spoken-tutorial.org/ |
| 10:19 | Ka batai lyngkot ia ka Spoken Tutorial project. Lada phimdon ia ka bandwidth kaba biang, phi lah ban download bad peit ia ka it. |
| 10:27 | Ka Spoken tutorial project team: ka pynlong ia ki workshops da kaba pyndonkam da ki spoken tutorials. |
| 10:32 | Ka ai certificates sha kito kiba pass ia ka online test. |
| 10:35 | Ia ki jingtip ba kham bniah , sngewbha thoh/write sha ka contact@spoken-tutorial.org. |
| 10:42 | Ka Spoken Tutorial Project ka dei ka bynta jong ka Talk to a teacher project. |
| 10:47 | La kyrshan ia ka da ka National Mission on Education lyngba ka ICT, MHRD, Government jong ka India. |
| 10:54 | Ia ki jingtip ba kham bniah halor kane ka mission ki don ha kane ka link [1]. |
| 10:59 | Ia kane ka script la pynkylla da i Ribajanai Wankhar . |
| 11:04 | Khublei shibun ba phi lah iasoh. |
