Download 4-3 Corresponding Parts of Congruent Triangles Triangles that have

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Transcript
Name ______________________________________________-___________ Notes 4-3 p. 1
Date _____________
4-3 Corresponding Parts of Congruent Triangles
Triangles that have the ________ _______ and ________ _________ are
______________ triangles.
Two triangles are____________ if and only if _____ _________ _________ of
corresponding ________ are ____________ and ____ ________ _________ of
corresponding ________ are ____________.
_____________________
The _________ that are
must be written in the _______ ___ _____________
in a triangle congruence statement.
Angles are
Sides are
:
:
A
R,
,
B
S,
C
T
,
CPCTC: _______________ _________ of ______________ ______________
are _______________.
Identify Congruence Transformations: If two triangles are ____________, you
can _______, ______, or ______ one of the triangles and they will still be
___________. These are called ______________ ___________ because they
do not change the ______ or _______ of the figure. It is common to use prime
symbols to distinguish between an original DEF and a transformed D'E'F'.
4-3 Notes p. 2
Identify the congruent triangles in each figure and name the corresponding
congruent parts.
4-3 Notes p. 3
Corresponding Parts of Congruent Triangles
Triangles that have the same size and same
shape are congruent triangles.
Two triangles are congruent if and only if all
three pairs of corresponding angles are
congruent and all three pairs of
corresponding sides are congruent.
ABC
RST
The angles that are
must be written in the
order of congruence in a triangle congruence
statement.
Angles are
Sides are
:
:
A
R,
,
B
S,
C
T
,
CPCTC: corresponding parts of congruent
triangles are congruent.
4-3 Notes p. 4
Identify Congruence Transformations: If two
triangles are congruent, you can slide, flip, or
turn one of the triangles and they will still be
congruent. These are called congruence
transformations because they do not change
the size or shape of the figure. It is common to
use prime symbols to distinguish between an
original DEF and a transformed D'E'F'.
4-3 Notes p. 5
Identify the congruent triangles in each figure
and name the corresponding congruent parts.