Download G Notes 4.2 Triangle Congruence by SSS and SAS

4.2 Triangle Congruence by
SSS and SAS
WS 4.2 & KWS 4.2
The definition of congruent triangles states that you
need 6 pairs of congruent corresponding parts to
prove triangles congruent. In reality, you only need
certain pairs of congruent corresponding parts.
C
A
Y
B
X
Z
Side-Side-Side Congruence (SSS) :
If all 3 sides of 1 triangle are congruent to all 3 sides of
another triangle, then the triangles are congruent.
P
Q
N
R
M
L
If the angles of 1 triangle are congruent to the angles of
another triangle the triangles are not necessarily
congruent.
AAA congruence does not guarantee triangle congruence.
Included Angle: The angle that is at the
W
vertex of two known
sides of a triangle
X
Y
L
Q
P
M
N
R
Side-Angle-Side Congruence (SAS) :
If 2 sides and the included angle of 1 triangle are
congruent to 2 sides and the included angle of another
triangle, then the triangles are congruent.
State if the triangles are congruent. If they are state how
you know. (SSS or SAS)
E1
SAS
E3
SSA??
E2
SSS
State what additional information is required in order to know
that the triangles are congruent for the given reasons.
E5 SSS
E4 SAS
W
L
B
A
C
ACB  DBC
D
X
E6 SAS
F
E
Y
XY  MN
J
G K
EF  JK
M
L
N