High students in this video, let's discuss an important concept called congruence of triangles.
All right.
Say you have two triangles.
When do you say that these two triangles are congruent?
It means that if you were to superimpose one triangle on top of the other, they would cover each other.
Exactly.
Let's take an example over here.
We have a triangle, ABC and Triangle picture.
Now, imagine you take Biketawa and you place it on top of ABC.
In that case, you will find that they superimpose each other.
Exactly.
That means triangle ABC is congruent to triangle epicure.
It also means in normal terms that you are is an exact copy of Triangle ABC.
All right.
Now say that these two triangles are congruent if they are congruent.
And imagine you are has been kept on top of ABC now, it would find that Vertex A. and Vertex B would
be exactly on top of each other.
Similarly, Vertex B and Vertex Q would be on top of each other and Vertex C and Vertex are would be
on top of each other.
We call these corresponding vertices.
What XP is a copy of Vertex, a word excuse, a copy of B and Vertex are is a copy of C..
Now what about corresponding sites?
If you have signed a B in search of A, you need to write its corresponding vertex, which is B, and
instead of B, you should write its corresponding vertex, which is Q, so A, B and B Q are corresponding
sites.
Similarly, B.C. and QR and AC and B are are also corresponding sites.
What about corresponding angles.
You will find that angle A and angle B will be on top of each other.
Right.
So Angle B is an exact copy of angle eight.
Therefore that is pointing angle the angle and B, angle B and Q and angle C and are.
All right.
So we have understood what we mean with congruence of triangles and we have seen that when we find two
triangles to be congruent, we get corresponding vertices, responding sides and corresponding angles.
Now let's see how to check whether two given triangles are congruent or not.
C or given these two triangles, though, it's very difficult to cut and put one triangle on top of
the other to check whether the two triangles are congruent or not.
So we have four rules to check whether two given triangles are congruent or not.
The four walls are side, side to side, side, angle, side, angle, side angle and a right angle,
hypotenuse side.
Let's see this.
Indeed in.