Its a presentation describing the basic concept of congruence in triangles.

1. ongruent triangles have congruent sides and congruent angles.
he parts of congruent triangles that “match” are called
corresponding parts.
1

2. 2

3. They
are
congruent
Two triangles are congruent if they
are the same size and shape.
3

4. They
arenot
congruent
Two triangles are not congruent if
they are not the same size
and shape.
4

5. Two triangles are congruent if they
are the same size and shape.
There are four Rules
Side, Side, Side.
Side, Angle, Side.
Angle, Angle, Side.
Right Angle, Hypotenuse, Side.
5

6. 11
Side, Side, Side.
The 3 sides of one triangle equal the
3 sides of the other triangle.
A
B C
D
E F
Proof for SSS
AB = DE (Side)
BC = EF (Side)
AC = DF (Side)D
E F
∴ ∆ABC ≡ ∆DEF (SSS)
is congruent to
6

7. 22
Side, Angle, Side.
2 sides & included angle of one triangle
equal those of the other triangle.
A
B C
D
E F
Proof for SAS
AB = DE (Side)
BC = EF (Side)
∠B = ∠E (Included Angle)
D
E F
∴ ∆ABC ≡ ∆DEF (SAS)
is congruent to
7

8. 33
Angle, Angle, Side.
2angles & correspondingside of one
triangle equal those of the other triangle.
A
B C
D
E F
Proof for AAS
∠A = ∠D (Angle)
AB = DE (Side)
∠B = ∠E (Angle)
D
E F
∴ ∆ABC ≡ ∆DEF (AAS)
is congruent to
8

9. 44
Right-angle, Hypotenuse, Side.
Theright-angle, hypotenuse & correspondingside of
one triangle equal those of the other.
Proof for RHS
∠B = ∠E (Right-angle)
AB = DE (Side)
AC = DF (Hypotenuse)
A
B C
D
E F
D
E F
∴ ∆ABC ≡ ∆DEF (RHS)
is congruent to
9

10. 10
THANK YOU
EFFORTS BY :
VANSHIKA DORA
PARINEETA VERMA
SULAGNA MISHRA
GHANISHTHA GOSWAMI
SHRUTI MATHUR
CLASS 9-A