Download Today you will Name and use corresponding parts of congruent

Today you will
Name and use corresponding parts of congruent polygons
Prove triangles are congruent using the definition of
congruence.
4.3 Congruent Triangles
Definition of Congruent Polygons:
Two polygons are congruent IFF
their corresponding parts are congruent.
List all pairs of corresponding parts.
CAT =
DOG
Write a congruence statement and identify all pairs of
corresponding congruent parts.
H
Y
X
Z
K
J
Congruent Figures Activity
a. get with the person who has the congruent figure to yours
b. name corresponding congruent angles and sides
c. name the congruent figures (congruence statement)
Since definitions are biconditionals, if two triangles are
then we know all corresponding parts are
.
,
So we say,
"Corresponding Parts of Congruent Triangles are Congruent"
or CPCTC
A
J
9
H
5y-12
113
C
4x-3
B
ABC
x = _______
K
KJH
y = ________
Are the triangles congruent?
D
A
C
B
E
Third Angles Theorem:
If 2 angles of one triangle are
angles of a second triangle,
to two
then the third angles of the triangles are
((
(
((
(
Properties of Triangle Conguence:
Reflexive Property of Triangle Congruence:
ABC
ABC
Symmetric Property of Triangle Congruence:
If
EFG then
ABC
EFG
Transitive Property of Triangle Congruence:
If
ABC
EFG and
then
ABC
EFG
JKL
JKL
ABC