1
Congruences between Two Triangles
"Congruence" is a relationship that two geometric objects of the same type may
or may not have.
Two segments
±
² ²
and
³´
²²²²
are
congruent
segments
(
±
² ²
µµ¶µµµ³´
² ²
µ
)
if they
have the same measure (that is, the same length).
Two angles
·µ± ³
and
·µ¸´¹
are
congruent
angles
(
·µ± ³µµ ¶ µµ·µ¸´¹µ
)
if
they have the same measure, that is,
º»·µ± ³µ¼µ¶ µµº»·µ¸´¹¼
.
Two circles
are
congruent
circles if their radii have the same length.
Two triangles
are
congruent
triangles if there exists a congruence between them
(see below).
Notation
:
Suppose
A, B, C, D, E, and F are points in a plane.
The notation
" ABC
↔
DEF" represents the following correspondences between
points:
A
↔
D,
B
↔
E,
C
↔
F .
("
↔
" means "corresponds to.
..")
When A, B and C
and
D, E, and F are vertices of two triangles, respectively, then
the notation
∆ABC
↔
∆ LGK
also represents a correspondence between the
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 Spring '10
 Shirley
 Geometry, Angles, Congruence, triangle, Congruent Triangles, Congruent Segments

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