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GEO: 4-5 QC (AAS, ASA & HL)
Contributed by: Maynard
(Original author: Dilaura)
1. 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 ≅ CA, thus ∆'s≅ by ASA ∆ ≅ thm.
AB ≅CD, thus ∆'s ≅ by AAS ∆ ≅ thm. 
A
B
D
C
2. 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
3. Identify the postulate or theorem that      proves the two triangles are congruent.
A
not congruent, not enough info
∆'s ≅ by AAA ∆≅ thm.
∆'s≅ by ASA ∆ ≅ thm.
∆'s ≅ by SAS ∆ ≅ thm.
B
E
D
C
4. Identify the postulate or theorem that      proves the two triangles are congruent.
not congruent, not enough info
∆'s ≅ by HL ∆≅ thm.
AC ≅ AC, thus ∆'s≅ by ASA ∆ ≅ thm.
∆'s ≅ by SAS ∆ ≅ thm.
A
D
B
C
5. 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
6. Match the theorem that proves the ∆'s are ≅.
A. SSS    B. SAS   C. AAS   D. ASA   E. HL
∆'s ≅
Choose from:
use capital letters
∆'s ≅
∆'s ≅
7.  True or False.     ΔABC ≅ ΔDBC by the HL ≅ theorem.
TRUE
FALSE
A
C
B
D
8.  True or False.     ΔABC ≅ ΔDBC by the ASA ≅ theorem.
TRUE
FALSE
A
32
C
B
32
D
9.  True or False.     ΔABD ≅ ΔFEC by the AAS ≅ theorem.
TRUE
FALSE
A
C
E
B
D
F
10. Drag the correct congruence theorem to the       image that shows how it would be used to prove      the triangles congruent.  For the one that is NOT       used, place it next to the words, "not used".
c) 
a) 
SAS ≅ theorem
?
ASA ≅ theorem
?
b) 
d) 
HL ≅ theorem
?
AAS ≅ theorem
?
"not used"
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