Applying Properties of Congruence Triangle

What additional information is needed to prove the 2 triangles are congruent by the listed theorem?

Suppose the three triangles are congruent, which of the following statements of congruence is NOT TRUE?

• ∆ABC≅∆CDB

• ∆BDA≅∆BDC

• ∆EFG≅∆BDC

• ∆GFE≅∆ADB

Given that \overline{BC}\cong\overline{DC} and \angle B\cong\angle D, what congruence postulate proves that\Delta ABE\cong\Delta CDE?

• SAS Congruence Postulate

• AAS Congruence Postulate

• ASA Congruence Postulate

• SSS Congruence Postulate

If AD bisect ∠BAC, then AD = AD and AB = AC, what triangle congruence is shown?

• AAS Congruence Postulate

• SSS Congruence Postulate

• SAS Congruence Postulate

• AAA Congruence Postulate

Given the figure with \overline{BE}\cong\overline{LO},\ ∠E≅∠O,\ and\ \overline{LE}\cong\overline{BO},which of the following proves that \Delta BEL\cong\Delta LOB ?

• SAS Congruence Postulate       

• ASA Congruence Postulate       

• AAS Congruence Theorem    

• SSS Congruence Postulate       

Given that ∆ABC ≅ ∆DEC and m∠E = 23°, find measures of ∠ACB.

• 77°

• 67°

• 23°

• 113°

• Congruence Property     

• Reflexive Property

• Symmetric Property

• Transitive Property

• Congruence Property     

• Reflexive Property

• Symmetric Property

• Transitive Property

Given that ∆DBA↔∆FEG, which angle corresponds to ∠EFG?

• ∠BAD

• ∠BDA

• ∠DAB

• ∠DBA

Which of the following shows congruent triangles?

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