Download Triangle Congruence Shortcuts Guided Notes

Triangle Congruence Shortcuts
Guided Notes
Instead of having to check all corresponding sides and all corresponding angles
being congruent, for triangles we can use these shortcuts to only check three 
Theorems
Theorem
Postulate 4-1 Side-Side-Side
(SSS) Postulate
Postulate 4-2 Side-Angle-Side
(SAS) Postulate
If…
3 sides of one triangle are
congruent to 3 sides of another,
2 sides and the included angle of
one triangle are congruent to 2
sides and the included angle of
another triangle,
Then…
the two triangles
are congruent.
Theorems
Theorem
Postulate 4-3Angle-Side-Angle
(ASA) Postulate
If…
2 angles and the included side of
one triangle are congruent to 2
angles and the included side of
another,
Then…
the two triangles
are congruent.
Theorem 4-2 Angle-Angle-Side
(AAS/SAA) Theorem
2 angles and a nonincluded side of
one triangle are congruent to 2
angles and a nonincluded side of
another,
Theorem
Theorem 4-6Hypotenuse-Leg
(HL) Theorem
If…
the hypotenuse and a leg of one
right triangle are congruent to
the hypotenuse and leg of
another right triangle,
WORK
DON’T WORK
Then…
the two triangles
are congruent.
EXAMPLES
Name the congruence postulate that allows you to conclude:
S
D
Y
Z
A
C
R
P
X
B
a. ∆ABC≅∆ADC
b. ∆PRS≅∆XYZ
Z
C
D
W
A
B
S
P
c. ∆ABC≅∆DCB
Homework: Sec 4.2-3-6 WS
O
N
R
Y
X
M
d. ∆WXY≅∆WZY
e. ∆PRS≅∆ONM