Geo 4.4: Congruent triangles.
1. Given that ∆FUN ≅ ∆TEA, identify the congruent     corresponding parts.
∡N ≅ ∡
AT ≅ 
use capital letters for answers
2. Given that polygon MATH ≅ LOVE     identify the congruent corresponding parts.
∡V ≅ ∡
AT ≅ 
use capital letters for answers
3. Given that ∆THE ≅ ∆SUP, and that     UP = 2x + 12, and HE = 4x - 50.
           Find the value of x and             find the length of UP.
UP = 
x = 
4.  Given that polygon PINK ≅ polygon BLUE,how many pair of congruent parts are there?
4: 4 pairs of angles only
6: 3 pairs of angles & 3 pairs of sides
3: 3 pairs of sides only
8: 4 pairs of sides & 4 pairs of angles
5. Given that ∆TEA ≅ ∆CUP, find the value of x and y.
T
3x - 7
x = 
52o
E
A
U
P
y = 
11.9
y
C
6. Given that ∆HOP ≅ ∆RUF, and themeasure of ∡H = 32o  and the measure of ∡O = 77o.  

Find the measure of the following:
m∡P = 
m∡R = 
m∡U = 
o
o
o
7. Given that polygon SNOW ≅ MELT     identify the congruent corresponding parts.
∡N ≅ ∡
WO ≅ 
use capital letters for answers
8. Given that ∆JOY ≅ ∆FUN, identify the congruent     corresponding parts.
∡N ≅ ∡
YO ≅ 
use capital letters for answers
9.  When proving triangles congruent using the 
     definition of congruent triangles, what must be true?
Only all corresponding pairs of sides must be 
    congruent
All pairs of corresonding angles and sides
    must be congruent
Only all corresponding pairs of angles must be 
    congruent
All corresponding angles must be congruent 
     and all corresponding sides must be 
     proportional
                                                                                2.
                                                                                3.
                                                                                5.
                                                                                   1. Given  
                                                                                4.
statements
not used: 
definition of ≅ Δ's
?
AIA Theorem
?
definition of a midpoint
?
Vertical Angles Thrm
?
reasons
AEA Theorem
?
Which theorem
guarantees that 
∡B is congruent
to ∡X?
Vertical Angle Theorem
Third Angle Theorem
Definition of Congruent Angles
Right Angle Theorem
Based off the diagram 
which of the following
is the correct 
congruency statement?
∆ABC ≅∆NML
∆CBA ≅ ∆NLM
∆BCA ≅∆LMN
∆ABC ≅∆LMN 
Which triangles appear to be congruent?
A and D only
A, B, and C
A and B only
none of the triangles appear to be congruent. 
A
B
C
D
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