Changes

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

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

## Any circle is similar to any other circle.  

## Any circle is similar to any other circle.  

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

## Same holds for Square - [https://www.geogebra.org/m/ceapgrs5 https://geogebra.org/m/ceapgrs5]

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

## and Equilateral Triangles  and [https://www.geogebra.org/m/kpww6afy https://geogebra.org/m/kpww6afy]

## 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://geogebra.org/m/mdc43fbt</nowiki>

## Triangle - [https://www.geogebra.org/m/mdc43fbt https://geogebra.org/m/mdc43fbt]

### 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 the 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://geogebra.org/m/k56qc3hm</nowiki>

# Concept of height of a triangle. [https://www.geogebra.org/m/k56qc3hm https://geogebra.org/m/k56qc3hm]

## 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)

## 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://geogebra.org/m/nctk4smk</nowiki>

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

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

## Logical Proof of BPT - [https://www.geogebra.org/m/pjdj65cd https://geogebra.org/m/pjdj65cd]

=== Time plan ===

=== Time plan ===