Question:

2. ∆ABC =∆__ by___ congruence

4. ∆ABC = ∆__ by ___ congruence

6. ∆ABC = ∆__ by ___ congruence

Answer:

2. ∆ABC = ∆ DEF by SSS Congruence

4. ∆ABC = ∆ ECD by SAS congruence

6. ∆ABC = ∆ABD by AAS congruence

Explaination:

1. Given: Two triangles

Solution:

AC = DE

CB = EF

DF = AB

Final Answer: ∆ ABC = ∆DEF and SSS Congruence

2. < DCF = < BCA

AC = EC

DC = BC

∆ ECD = ∆ ABC ( SAS)

Final Answer: ∆ ABC = ∆ ECD and SAS congruence

3. ∆ ABC = ∆ ABD

AAS Congruence

LC = LD ; LCAB = LDAB ; AB= AB

Final Answer: ∆ABC = ∆ABD and AAS Congruence

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