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SSS, SAS, ASA, AAS
Contributed by: Rees
(Original author: Dilaura)
Given that ∆FUN ≅ ∆TEA, identify the congruent corresponding parts.
∡N ≅ ∡
AT ≅ 
use capital letters for answers
Given that polygon MATH ≅ LOVE 
identify the congruent corresponding parts.
∡V ≅ ∡
AT ≅ 
use capital letters for answers
Given that ∆THE ≅ ∆SUP, and that UP = 2x + 12, and HE = 4x - 50.
Find the value of x
Find the length of UP
UP = 
x = 
Given that ∆HOP ≅ ∆RUF, and themeasure of ∡H = 32o  and the measure of ∡O = 77o.  

Find the measure of the following:
m∡R = 
m∡U = 
m∡P = 
o
o
o
Complete each congruence statement. Then state the
congruency postulate used.
A
D
C
F
B
E
by the
AC ≅
∡C ≅ ∡
CB ≅
∆ABC ≅ ∆
Congruence
Postulate
Tell if and why the triangles are congruent.
Not congruent, not enough info
∡A ≅ ∡C, thus ∆'s are ≅ by SAS ∆≅ Thm.
BD ≅ BD, thus ∆'s are ≅, by SSS ∆≅ Thm.
 ∆'s are ≅ by the definition of ≅∆'s 
A
B
D
C
Tell if and why the triangles are congruent.
Not congruent, not enough info
AB ≅ AC, thus ∆'s are ≅ by SSS ∆≅ Thm.
BD ≅ BD, thus ∆'s are ≅, by SAS ∆≅ Thm.
 ∆'s are ≅ by the definition of ≅∆'s 
A
B
D
C
Tell what value x must be in order for the
two triangles to be congruent by SSS ∆≅ Thm.
6x - 4
B
x = 
A
C
4x + 7
D
Tell if and how the two triangles are congruent.
C
A
Not congruent, not enough info
AC ≅ED, thus ∆'s are ≅ by SSS ∆≅
 ∡ABC ≅EBD, thus ∆'s are ≅ by SAS ∆≅
B
D
E
Identify the postulate or theorem that 
proves the two triangles are congruent.
not congruent, not enough info
∡B≅∡D, thus ∆'s ≅ by AAA ∆≅ thm.
AC ≅ AC, thus ∆'s≅ by ASA ∆ ≅ thm.
AB ≅CD, thus ∆'s ≅ by AAS ∆ ≅ thm. 
A
B
D
C
What additional information do you need to know in order to prove ∆ABC ≅ ∆EBD by ASA?
 ∡BDE ≅ ∡BCA
∡A ≅ ∡C
 AC ≅ ED
∡B ≅ ∡B
A
D
B
E
C
Identify the postulate or theorem that 
proves the two triangles are congruent.
Use alternate interior angles, not vertical angles.
A
∆'s ≅ by AAA ∆≅ thm.
∆'s≅ by ASA ∆ ≅ thm.
∆'s ≅ by AAS ∆ ≅ thm.
not congruent, not enough info
B
E
D
C
Identify the postulate or theorem that proves the two triangles are congruent.

A
not congruent, not enough info
∆'s ≅ by AAA ∆≅ thm.
∆'s≅ by SAS ∆ ≅ thm.
∆'s ≅ by ASA ∆ ≅ thm.
B
E
D
C
Match the theorem that proves the ∆'s are ≅
A. SSS     B. SAS    C. AAS    D. ASA 
∆'s ≅
Choose from:
use capital letters, put A, B, C, D
∆'s ≅
∆'s ≅
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