Name _________________________________ Period_________ Date________________
Corresponding Parts of Congruent Figures (PAGE 1)
If two figures are congruent, their corresponding sides are congruent and their corresponding angles
are congruent. For instance, in the figure below, triangle ABC is congruent to triangle DEF because
DEF is the image of ABC reflected over line m.
ABC  DEF
A D
Congruent Sides:
AB  DE; BC  EF ; CA  FD
C
F
E
m
B
Example:
W
H
Congruent Angles:
A  D; B  E; C  F
WHY  NOT because one triangle maps on top
of the other. The transformations that show this:
reflect WHY over the y-axis and then translate 5
units down.
Y
N
Therefore, congruence statements can be written:
O
T
WH  NO; HY  OT ; WY  NT
W  N ; H  O; Y  T
Name _________________________________ Period_________ Date________________
Corresponding Parts of Congruent Figures (PAGE 1)
If two figures are congruent, their corresponding sides are congruent and their corresponding angles
are congruent. For instance, in the figure below, triangle ABC is congruent to triangle DEF because
DEF is the image of ABC reflected over line m.
ABC  DEF
C
Example:
A
D
B
E
m
Congruent Sides:
AB  DE; BC  EF ; CA  FD
F
W
H
Congruent Angles:
A  D; B  E; C  F
WHY  NOT because one triangle maps on top
of the other. The transformations that show this:
reflect WHY over the y-axis and then translate 5
units down.
Y
N
T
Therefore, congruence statements can be written:
O
WHY
WH  NO; HY  OT ; WY  NT
Corresponding Parts of Congruent Figures (PAGE 2)
For the following figures: (1) list the transformations that map one figure onto the other; (2)
determine which angles and sides of the figures correspond; (3) write the congruence statements.
S
G
O
U
B
D
Y
T
O
E
N
S
L
G
Corresponding Parts of Congruent Figures (PAGE 2)
For the following figures: (1) list the transformations that map one figure onto the other; (2)
determine which angles and sides of the figures correspond; (3) write the congruence statements.
S
G
O
U
B
D
Y
T
O
E
N
S
L
G