3.4 Congruent Triangles
Outcome:
G.1 ‐ Derive proofs that involve the properties of angles and triangles. G.2 ‐ Solve problems that involve properties of angles and triangles.
What does congruent mean?
Refresher ­ naming triangles and angles...
Congruent Triangles can be Proven in 3 ways...
Example 1
In each case, use the given information to determine if the triangles are congruent. If they are congruent, state the congruence condition.
o
o
a) b) x
x
a
a
c
c) d) b
c
b
AB = CD
Example 2
Prove A
B
D
C
Example 3
Prove A
D
B
C
Example 4
Prove AD = BC
B
A
E
D
C
F
p. 138 #s 1 ­ 3, 5, 7 ­ 10