3. TThhee IIddeeaa ooff aa CCoonnggrruueennccee
Two geometric figures with
exactly the same size and
shape.
B
A C
F
E D
4. HHooww mmuucchh ddoo yyoouu
nneeeedd ttoo kknnooww.. .. ..
. . . about two triangles
to prove that they
are congruent?
5. CCoorrrreessppoonnddiinngg PPaarrttss
You learned that if all six pairs of
corresponding parts (sides and angles)
are congruent, then the triangles are
congruent.
B
A C
DABC @ D
DEF
E
D F
1. AB @ DE
2. BC @ EF
3. AC @ DF
4. Ð A @ Ð D
5. Ð B @ Ð E
6. Ð C @ Ð F
23. LLeett’’ss PPrraaccttiiccee
Indicate the additional information needed
to enable us to apply the specified
congruence postulate.
For ASA:
For SAS:
ÐB @ ÐD
AC @ FE
For AAS: ÐA @ ÐF
24. HHWW
Indicate the additional information needed
to enable us to apply the specified
congruence postulate.
For ASA:
For SAS:
For AAS:
32. Things you can mark on a triangle when they aren’t
marked.
Overlapping sides are
congruent in each
triangle by the
REFLEXIVE property
Vertical
Angles are
congruent
Alt Int
Angles are
congruent
given
parallel lines
33. ΔDEF ΔLMN Ð D @ Ð N DE @
NL
Ð @ Ð
In and , , and
E L
. Write a congruence statement.
D D E F @ D N L M
34. What other pair of angles needs to be
marked so that the two triangles are
congruent by AAS?
F
D
E
M
L
N
ÐE @ ÐN
35. What other pair of angles needs to be
marked so that the two triangles are
congruent by ASA?
F
D
E
M
L
N
ÐD @ ÐL
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