Download (SSS) Postulate

p
b
r
q
a
c
Definition of Congruent Figures
are two figures that are identical is size and shape
ex:
ABC  PQR
a  p
b
p
b  q
c  r
ab  pq
a
c r
q
bc  qr
ca  rp
Congruence
The congruence symbol ““ has a
different meaning than the equal symbol
“=“.
Congruent triangles have 3 pairs of 
angles and 3 pairs of  sides.
Side-Side-Side (SSS) Postulate:
If all three pairs of corresponding sides of two triangles
are equal, the two triangles are congruent.
If you know:
AB = DE
then you know:
and you know:
ABC  DEF
A =  D
BC = EF
B=E
AC = DF
C=F
Side-Side-Side (SSS) Postulate:
If you know:
AB = DE
then you know:
ABC  DEF
and you know:
A =  D
BC = EF
B=E
AC = DF
C=F
Side-Angle-Side (SAS) Postulate:
If two pairs of corresponding sides and the
corresponding contained angles of two triangles are
equal, the two triangles are congruent.
If you know:
AB = DE
then you know:
and you know:
ABC  DEF
A =  D
B=E
BC = EF
AC = DF
C =  F
Side-Angle-Side (SAS) Postulate:
AB = DE
ABC  DEF
A =  D
B=E
BC = EF
AC = DF
C =  F
Angle-Side-Angle (ASA) Postulate:
If two angles and the contained side of one triangle are
equal to two angles and the contained side of another
triangle, the two triangles are congruent.
If you know:
A=D
then you know:
and you know:
ABC  DEF
AC = DF
B=E
C =  F
AB = DE
BC = EF
Angle-Side-Angle (ASA) Postulate:
A=D
ABC  DEF
AC = DF
B=E
C =  F
AB = DE
BC = EF
Right angle - Hypotenuse-Side (RHS) Postulate:
If the hypotenuse and another side of one right triangle
are equal to the hypotenuse and one side of a second
right triangle, the two triangles are congruent.
If you know:
 A =  D = 90o
then you know:
and you know:
ABC  DEF
B =  E
BC = EF
C=F
AC = DF
AB = DE
Right angle - Hypotenuse-Side (RHS) Postulate:
 A =  D = 90o
ABC  DEF
B =  E
BC = EF
C=F
AC = DF
AB = DE
CLASS WORK
• Do Questions 3,4,5,6,7,8,10, 11 pg. 202203 from MOM text.
• Quiz in 6 days