Lesson Plan Math Class X (Ch6)  Triangles
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 Definitions, examples and counter examples of similar of triangles.
 Prove : If a line is drawn parallel to one side of the triangle to intersect the other two sides at two distinct points the other two sides are divided in the same ratio or Basic Proportionality Theorem (BPT)
 Motivate : If a line intersect the two sides of the triangle in the same ratio, the line is parallel to the third side.
 Motivate: If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
 Motivate: If corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar to each other.
 Motivate: If one angle of a triangle is equal to the one angle of other triangle and the sides including these angles are proportional, the two triangles are similar.
 Motivate: If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on either side of the perpendicular are similar to each other and to the whole triangle.
 Prove : The ratio of areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
 Prove : (Pythagoras Theorem) In a right triangle, the square on the hypotenuse is equal to the sum of square on the other two sides.
 Prove : (Converse of Pythagoras Theorem) In a triangle, if the square on one side is equal to the sum of the squares on the other two sides, the angle opposite to the first side is a right angle.
S.No. 
TOPIC [For Complete Explanation of the topic] 
1 
Introduction First
of all teacher will show some figures o the students which are looks same but
different in size. Now teacher will introduce the concept similarity of
figures give definition of similarity of triangles. With the help of some examples
teacher will explain the following to the students All circles are similar to each
other. All equilateral triangles are
similar to each other. All squares are similar to each
other. All regular polygons with equal
sides are similar to each other. 
2 
Difference between Similarity and Congruency Now
teacher will explain the difference between the similarity and congruency of
the plane figures by giving examples and counter examples.

3 
Basic Proportionality Theorem Now
teacher will write the statement of Basic Proportionality Theorem on the
board and explain the meaning of this statement by drawing the figure. After
this teacher will explain the proof of the theorem which include the
components: Given, To Prove, Construction, Proof. After
the complete explanation of the BPT teacher will motivate the students for
the converse of Basic Proportionality theorem and also give its complete
proof. Now
teacher will explain the procedure of implementing these theorems in
different problems. Teacher may also provide sufficient number of problems to
the students so that the students will completely understand the theorem. 
4 
Similarity Conditions Now
teacher will define all similarity conditions (SSS, SAS, AAA, AA) to the students. Teacher will also motivate
the students for the proof of these theorems. Teacher
will explain the implementation of these theorems in different problems. 
5 
Define the theorem: If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on either side of the perpendicular are similar to each other and to the whole triangle. Also motivate the student to learn the proof of this theorem. 
6 
Theorem on the area of two similar triangles State
and prove the theorem on the ratio of area of two similar triangle is equal
to the ratio of their corresponding sides. Teacher will explain its proof, which include the following components Given, To Prove, Construction and Proof. Teacher will also assign some problems to the students for the implementation of the theorem. 
7 
Pythagoras Theorem Now teacher will introduce The Pythagoras
Theorem. Teacher will explain the statement
of this theorem with the help of a diagram and also explain the complete
proof of the theorem which include the following components: Given, To Prove,
Construction and Proof. Teacher will also assign some
problems to the student to learn the implementation of this theorem. 
8 
Converse of Pythagoras
Theorem Now teacher will introduce The Converse
of Pythagoras Theorem. Teacher will explain the statement
of this theorem with the help of diagram and also explain the complete proof
of the theorem which include the following components: Given, To Prove, Construction
and Proof. Teacher will also assign some
problems to the student to learn the implementation of this theorem. 
 Difference between similarity and congruency of plane figures.
 Different similarity and congruency conditions.
 Statement and proofs of B.P.T. Ratio of area of two similar triangles, Pythagoras theorem and the converse of Pythagoras theorem.
 Students should learn the implementation of these theorems in the different problems.
 Review questions given by the teacher.
 Students should made the presentation on any one of the theorem for the proof.
 Solve N.C.E.R.T. problems with examples,
 Solve the assignment on Multiple Choice Question (MCQ) given by the teacher.
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