Download Notes AAS HL

Geometry
Notes: AAS, HL
Objectives:
1. Determine why the triangles are congruent using knowledge of all 5 methods.
2. Write a congruence statement.
RULE 4: __________
Angle – Angle – Side: Two angles and a non-included side of one triangle are congruent to
the corresponding parts of another triangle.
F
A
C
B
D
E
Congruence Statement: __________  __________ by __________
Before we go to the last rule, we first must review the parts of a right triangle.
The two sides joined to form the 90 angle are called the legs.
Y
hypotenuse
The legs of the right triangle XYZ are _________ and _________.
leg
X
leg
Z
The side opposite the 90 angle is called the hypotenuse.
The hypotenuse is the longest side of the right triangle.
The hypotenuse of the right triangle XYZ is __________.
RULE 5: __________
Hypotenuse – Leg: The hypotenuse and leg of one right triangle are congruent to the hypotenuse and
corresponding leg of another right triangle.
P
B
A
Q
C
Congruence Statement: __________  __________ by __________
R
Practice: Determine if the triangles are congruent. If so write the congruence statement and the
reason.
1.
K
P
N
2.
R
J
L
M
Q
S
N
______________________________
3. QT bisects SR
Q
>
___________________________
T
4.
S
R
P
W
>
S
Z
___________________________
J
6.
V
W
X
T
___________________________
5.
U
M
L
Y
X
A
Z
B
W
___________________________
___________________________