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High students in this video, let's discuss an important concept called congruence of triangles.

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All right.

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Say you have two triangles.

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When do you say that these two triangles are congruent?

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It means that if you were to superimpose one triangle on top of the other, they would cover each other.

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Exactly.

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Let's take an example over here.

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We have a triangle, ABC and Triangle picture.

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Now, imagine you take Biketawa and you place it on top of ABC.

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In that case, you will find that they superimpose each other.

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Exactly.

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That means triangle ABC is congruent to triangle epicure.

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It also means in normal terms that you are is an exact copy of Triangle ABC.

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All right.

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Now say that these two triangles are congruent if they are congruent.

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And imagine you are has been kept on top of ABC now, it would find that Vertex A. and Vertex B would

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be exactly on top of each other.

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Similarly, Vertex B and Vertex Q would be on top of each other and Vertex C and Vertex are would be

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on top of each other.

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We call these corresponding vertices.

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What XP is a copy of Vertex, a word excuse, a copy of B and Vertex are is a copy of C..

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Now what about corresponding sites?

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If you have signed a B in search of A, you need to write its corresponding vertex, which is B, and

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instead of B, you should write its corresponding vertex, which is Q, so A, B and B Q are corresponding

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sites.

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Similarly, B.C. and QR and AC and B are are also corresponding sites.

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What about corresponding angles.

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You will find that angle A and angle B will be on top of each other.

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Right.

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So Angle B is an exact copy of angle eight.

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Therefore that is pointing angle the angle and B, angle B and Q and angle C and are.

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All right.

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So we have understood what we mean with congruence of triangles and we have seen that when we find two

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triangles to be congruent, we get corresponding vertices, responding sides and corresponding angles.

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Now let's see how to check whether two given triangles are congruent or not.

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C or given these two triangles, though, it's very difficult to cut and put one triangle on top of

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the other to check whether the two triangles are congruent or not.

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So we have four rules to check whether two given triangles are congruent or not.

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The four walls are side, side to side, side, angle, side, angle, side angle and a right angle,

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hypotenuse side.

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Let's see this.

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Indeed in.