Changes

= Session plan =

= Session plan =

# Congruence – (<nowiki>https://www.geogebra.org/f/n2nstusmmc</nowiki>)

# Congruence – (<nowiki>https://www.geogebra.org/f/n2nstusmmc</nowiki>)

## Segment, angle, triangle, quadrilateral, odd shaped figures

## Segment, angle, triangle, quadrilateral, odd shaped figures

## Measures of corresponding sides and angles of congruent polygons will be equal

## Measures of corresponding sides and angles of congruent polygons will be equal

# Similarity - <nowiki>https://www.geogebra.org/f/fprxfwdmy8</nowiki>

# Similarity - <nowiki>https://www.geogebra.org/f/fprxfwdmy8</nowiki>

## 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>

## Any circle is similar to any other circle.  

## Same holds for Square - <nowiki>https://www.geogebra.org/m/ceapgrs5</nowiki>

## and Equilateral Triangles  and <nowiki>https://www.geogebra.org/m/kpww6afy</nowiki>

## Quadrilaterals

## Quadrilaterals

### Two quadrilaterals of the same number of sides are similar, if

### Two quadrilaterals of the same number of sides are similar, if

#### (i) their corresponding angles are equal and

#### (i) their corresponding angles are equal and

#### (ii) their corresponding sides are in the same ratio (or proportion)

#### (ii) their corresponding sides are in the same ratio (or proportion)

## Triangle - <nowiki>https://www.geogebra.org/m/mdc43fbt</nowiki>

## Triangle - <nowiki>https://www.geogebra.org/m/mdc43fbt</nowiki>

### if all angles of one are congruent with the corresponding angles of the second (AAA)

### if all angles of one are congruent with the corresponding angles of the second (AAA)

### if ratio of three corresponding sides are equal (SSS)

### if the ratio of three corresponding sides are equal (SSS)

# Concept of height of a triangle. <nowiki>https://www.geogebra.org/m/k56qc3hm</nowiki>

# Concept of height of a triangle. <nowiki>https://www.geogebra.org/m/k56qc3hm</nowiki>

## 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)

## The 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)

## Selection of side as base can change, but area (half * base *height) does not change

## Selection of side as base can change, but area (half * base *height) does not change

# 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.

# 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.

## Draw few triangles and check that this is true – visual proof  <nowiki>https://www.geogebra.org/m/nctk4smk</nowiki>

## Draw few triangles and check that this is true – visual proof  <nowiki>https://www.geogebra.org/m/nctk4smk</nowiki>

## Logical Proof of BPT - <nowiki>https://www.geogebra.org/m/pjdj65cd</nowiki>

## Logical Proof of BPT - <nowiki>https://www.geogebra.org/m/pjdj65cd</nowiki>

= Time plan =

= Time plan =

# Introduction to <nowiki>http://geogebra.org</nowiki> . Enable ‘desktop view and Landscape view on phone – 15 minutes

# Introduction to <nowiki>http://geogebra.org</nowiki>. Enable ‘Desktop view' and 'Landscape view' on phone – 15 minutes

# Demo and hands-on -  Congruence – 15 minutes, Similarity 20 minutes. BPT 20 minutes. Frustum of Cone – 10 minutes

# Demo and hands-on -  Congruence – 15 minutes, Similarity 20 minutes. BPT 20 minutes. Frustum of Cone – 10 minutes

# Closing  way forward + Google form – 10 minutes.

# Closing  way forward + Google form – 10 minutes.

# Use the file in the sequence of “check boxes” (Tick  mark off/ on)

# Use the file in the sequence of “check boxes” (Tick  mark off/ on)

# Check box – click on it to ON. Click again to OFF

# Check box – click on it to ON. Click again to OFF

# When needed, move the “Slider” – Move to increase or reduce value of variable (like audio volume control)

# When needed, move the “Slider” – Move to increase or reduce value of variable (like audio volume control)

# Uncheck a check box when not needed or to reduce information on the screen

# Uncheck a check box when not needed or to reduce information on the screen

# 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)

# 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)