Download Name If two triangles are congruent, then you know all

GEOMETRY/TRIGONOMETRY 2
Name _______________________
If two triangles are congruent, then you know all six pairs of corresponding parts are congruent.
There are five easier ways to prove that two triangles are congruent.
SSS
SAS
SSS Postulate:
ASA
AAS
HL
If three sides of one triangle are congruent to three sides of another
triangle, then the triangles are congruent.
B
G
E
5
A
C
F
P
H
4
Y
3
5
3
O
R
T
4
 By the SSS Postulate, ABC  _____ and POE  _____.
SAS Postulate:
If two sides and the ____________ angle of one triangle are congruent
to two sides and the ____________ angle of another triangle, then the
triangles are congruent.
9
E
L
G
60
O
3
B
A
C
F
3
M
Y
H
60
9
D
 By the SAS Postulate, ABC  _____ and MEL  _____.
ASA Postulate:
If two angles and the ____________ side of one triangle are congruent
to two angles and the ____________ side of another triangle, then the
triangles are congruent.
B
A
G
C
F
M
H
N
4
55
 By the ASA Postulate, ABC  _____ and MON  _____.
K
4
O E
55
Y
Can the two triangles be proved congruent? If so, write (a) the congruence and (b)
the name of the postulate used. If not, write none.
1) a) ABC  _______ 2) a) EFG  _______ 3) a) JKN  _______ 4) a) PQS  _______
b) ___________
b) ___________
b) ___________
b) ____________
5) a) TUV  _______ 6) a) ABC  _______ 7) a) LMN  _______ 8) a) ABC  _______
b) ___________
9) Given:
Prove:
9) Given:
Prove:
b) ___________
HI ll GJ;
HG ll IJ
GHJ  IJH
b) ___________
Statements
b) ____________
Reasons
1) __________________
1) __________________
2) __________________
2) __________________
3) __________________
3) __________________
4) GHJ  _______
4) __________________
DC bisects AB;
AC  BC
Statements
Reasons
ADC  BDC
1) __________________
1) __________________
2) __________________
2) __________________
3) __________________
3) __________________
4) __________________
4) __________________
5) ADC  ______
5) __________________