Download Lesson 4.4 Are There Congruence Shortcuts? notes

4.4 Are There Congruence Shortcuts?
_______________________ – Two triangles that are the same size and shape. Corresponding angles
and corresponding sides are congruent.
E
B
A
ABC 
A  D
B  E
C  F
F
D
C
DEF
AB  DE
BC  EF
AC  DF
________________ – An angle formed between two given sides of a triangle.
________________ – A side of a triangle between two given angles.
SSS Congruence Postulate
If the three _________ of one triangle are congruent to three _________ of another triangle, then the
two triangles are congruent.
E
B
A
C
if AB  DE
BC  EF
F
D
AC  DF , then
ABC  ______
SAS Congruence Postulate
If two ___________ and the _____________ angle in one triangle are congruent to ______ sides and
the _______________ angle in another triangle, then the two triangles are congruent.
E
B
A
C
if
AB  DE
F
D
A  D AC  DF ,
then
ABC  ______
Geometry Lesson 4.4: Are There Congruence Shortcuts?
Page 1
Example1: Which pairs of triangles are congruent? Which postulate allows you to determine the
triangles’ congruency?
A
G
E
12
5
8
D
65
4
C
65
C
8
T
12
H
I
4
3.5
O
3.5
O
T
5
Example 2: Which pairs of triangles are congruent? Which postulate allows you to determine the
triangles’ congruency?
C
B
I
A
D
G
H
F
E
J
Geometry Lesson 4.4: Are There Congruence Shortcuts?
Page 2
Example 3: Which pairs of triangles are congruent? Which postulate allows you to determine the
triangles’ congruency?
T
K
O
L
S
P
M
R
N
Homework: pp. 222 – 223 => 1 – 6; 9 – 16
Geometry Lesson 4.4: Are There Congruence Shortcuts?
Page 3