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=== Objectives: ===
=== Objectives: ===
# Familiarity with idea of congruence, similarity and similar triangles
# 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
=== Session plan: ===
=== Session plan: ===
# Congruence
## Segment, angle, triangle, quadrilateral, odd shaped figures
## Measures of corresponding sides and angles of congruent polygons will be equal
# Similarity
## Any circle is similar to any other circle.
## Same holds for Square - <nowiki>https://geogebra.org/m/ceapgrs5</nowiki>
## and Equilateral Triangles and <nowiki>https://geogebra.org/m/kpww6afy</nowiki>
## Quadrilaterals
### Two quadrilaterals of the same number of sides are similar, if
#### (i) their corresponding angles are equal and
#### (ii) their corresponding sides are in the same ratio (or proportion)
## Triangle - <nowiki>https://geogebra.org/m/mdc43fbt</nowiki>
### 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)
# Concept of height of a triangle. <nowiki>https://geogebra.org/m/k56qc3hm</nowiki>
## 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
# 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>
## Logical Proof of BPT - <nowiki>https://geogebra.org/m/pjdj65cd</nowiki>
=== Assessment: ===
=== Assessment: ===
[[Category:Triangles]]
[[Category:Class 10]]
