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| === Objectives: === | | === Objectives: === |
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| + | # 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 |
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| === 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> |
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| === Assessment: === | | === Assessment: === |
| + | [[Category:Triangles]] |
| + | [[Category:Class 10]] |