Download `Congruent and Similar Objects`.

• Two objects having same shape are
known as similar objects.
• Following pictures show objects
having same shape but not having same
size. They are similar objects
Two objects having same shape and
size are called CONGRUENT OBJECTS.
Two line segments
are congruent if
they have same
length
Two angles are
congruent if they
have same
measure.
A
C
The symbol of congruency is
4cm
4c
B
D
Two squares are congruent
if they have same side
length.
Two rectangles are
congruent if they have
same length and breadth
Congruence of Triangles-Two triangles are said to
be congruent if pairs of corresponding sides and
angles are equal
A
D
B
C
E
F
ABC
DEF as AB = DE, BC= EF, CA= FD
and
∟A= ∟D.∟B = ∟E, ∟C = ∟F
A↔ D, B↔E, C ↔F and therefore ABC ↔ DEF
The symbol ↔ stands for matching
There are four congruency conditions to
prove congruence of triangles
•SAS congruency condition(side,
congruence condition)
•SSS congruence condition
congruence condition)
(side,
angle,
side
side,
side
•ASA congruency condition(angle, side, angle
congruence condition)
•RHS congruency condition (Right
Hypotenuse, side congruence condition)
angle,
We see congruent objects and similar objects everywhere