Download AAS Theorem

GEOMETRY/TRIGONOMETRY 2
AAS Theorem:
Name _______________________
If two angles and a __________ side of one triangle are congruent to the
corresponding parts of another triangle, then the triangles are congruent.
 By the AAS Theorem, ABC  _____
The next theorem applies to right triangles only!
 The perpendicular sides are called __________.
 The side opposite the right angle is called the _______________.
HL Theorem:
If the ____________ and a __________ of one triangle are congruent to
corresponding parts of another triangle, then the triangles are congruent.
 By the HL Theorem, ABC  _____
A
B
D
C
E
F
State which congruence method(s) can be used to prove the triangles congruent. If no
method applies, write none.
1) ___________
2) ___________
3) ___________
4) ___________
5) ___________
6) ___________
7) ___________
8) ___________
Name (a) a pair of overlapping congruent triangles. (b) State which congruence
method can be used to prove the triangles congruent. If no method applies, write
none.
9) a) XYZ  _______
10) a) ABE  _______
b) ___________
Given: XY  WZ
Y & W are rt. s
12) Given:
Prove:
13) Given:
Prove:
B  D;
BC ll AD
DC  AB
mO = mP = 90;
MN = QR; OM = PQ
MOR  QPN
11) a) PQS  _______
b) ___________
Given: AE = DC
A  C
b) ___________
Given: QP  TP
Statements
Reasons
1) ____________________
1) ___________________
2) ____________________
2) ___________________
3) ____________________
3) ___________________
4) _______  _______
4) ___________________
5) ____________________
5) ___________________
Statements
Reasons
1) ____________________
1) ___________________
2) MOR & QPN are rt. s
2) ___________________
3) ____________________
3) ___________________
4) ____________________
4) Addition Property
5) ____________________
5) ___________________
6) ____________________
6) ___________________
7) ____________________
7) ___________________