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# Visualizing  BPT - If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. Logical proof of  BPT
 
# Visualizing  BPT - If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. Logical proof of  BPT
 
# Visualizing area of Frustum of a Cone (3D)
 
# Visualizing area of Frustum of a Cone (3D)
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= Session plan =
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# Congruence – (<nowiki>https://www.geogebra.org/f/n2nstusmmc</nowiki>)
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## Segment, angle, triangle, quadrilateral, odd shaped figures
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## Measures of corresponding sides and angles of congruent polygons will be equal
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# Similarity - <nowiki>https://www.geogebra.org/f/fprxfwdmy8</nowiki>
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## Any circle is similar to any other circle. Same holds for Square and Equilateral Triangles <nowiki>https://www.geogebra.org/m/ceapgrs5</nowiki> and <nowiki>https://www.geogebra.org/m/kpww6afy</nowiki>
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## Quadrilaterals
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### Two quadrilaterals of the same number of sides are similar, if
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#### (i) their corresponding angles are equal and
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#### (ii) their corresponding sides are in the same ratio (or proportion)
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## Triangle - <nowiki>https://www.geogebra.org/m/mdc43fbt</nowiki>
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### if all angles of one are congruent with the corresponding angles of the second (AAA)
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### if ratio of three corresponding sides are equal (SSS)
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# Concept of height of a triangle. <nowiki>https://www.geogebra.org/m/k56qc3hm</nowiki>
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## Height of a triangle will be inside the triangle (acute angled triangle), outside the triangle (obtuse angled triangle) and on the side of the triangle (right triangle)
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## Selection of side as base can change, but area (half * base *height) does not change
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# BPT - If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
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## Draw few triangles and check that this is true – visual proof  <nowiki>https://www.geogebra.org/m/nctk4smk</nowiki>
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## Logical Proof of BPT - <nowiki>https://www.geogebra.org/m/pjdj65cd</nowiki>
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= Time plan =
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# Introduction to <nowiki>http://geogebra.org</nowiki> . Enable ‘desktop view and Landscape view on phone – 15 minutes
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# Demo and hands-on -  Congruence – 15 minutes, Similarity 20 minutes. BPT 20 minutes. Frustum of Cone – 10 minutes
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# Closing  way forward + Google form – 10 minutes.
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= General Instructions for using the files =
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# Open Geogebra.org and login with id  '''BengaluruSouth,  password - geogebra123'''
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# You can click on link to open the file (or folder) on your computer or phone with Internet connectivity
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# You can move the objects to coincide with other object, by selecting the object and using ‘drag and drop’ of your mouse/cursor.
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# You can also move object by move the red point and rotating  with the yellow point on an object.
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# Practice drag and drop using mouse cursor on computer  and you finger on your phone.
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# Use the file in the sequence of “check boxes” (Tick  mark off/ on)
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# Check box – click on it to ON. Click again to OFF
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# When needed, move the “Slider” – Move to increase or reduce value of variable (like audio volume control)
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# Uncheck a check box when not needed or to reduce information on the screen
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# You can download the file to your own computer, see the steps given in video <nowiki>https://youtu.be/ECFKjQXT6IE</nowiki> (see from 1.40 to 2.00 minutes)
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# You can install Geogebra on your computer having Microsoft Windows and also on your android phone, through Google play (Geometry app)
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# You can show in your class using the Geogebra  on you computer, or if you have connectivity, directly from the website, connecting to projector.
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# Students can also see and play with these files on their own phone or using the computer lab.
 
[[Category:Mathematics]]  
 
[[Category:Mathematics]]  
 
[[Category:TCOL Phase 3]]
 
[[Category:TCOL Phase 3]]
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