3. Ch4.3_CongruentTrianglesProofs.notebook October 24, 2011
Congruent triangles have
congruent angles and
congruent sides
C.P.C.T.C.
Corresponding
Parts of
Congruent
Triangles are
Congruent
s or angles)
(s egment
Prove corresponding parts are equal
3
6. Ch4.3_CongruentTrianglesProofs.notebook October 24, 2011
Isosceles Triangle Theorem
es
sid
nt
rue
o ng B
2 c B
Then
If
A C A C
If 2 sides of a triangle are ≅,
then the angles opposite
from them are also ≅
Base Angles Theorem
Converse of Isosceles Δ thm.
If 2 angles of a triangle are ≅,
then the sides opposite
from them are also ≅
B B
A C A C
Examples:
Solve for X
X
660
Solve for A and B
A 3 in
B
2 c Solve for X, Y, and Z
X m
2 cm Z
m
Y 2 c
Solve for X and Y
0
60 Y
X
3.4 ft
Solve for X
X
1100
700
6
