Triangle Congruence Quiz

What triangle congruence postulate states that 'If the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent'?

• SSS

• ASA

• SAS

• AAS

Which triangle congruence postulate states that 'If the two angles and the included side of one triangle are congruent to the corresponding two angles and an included side of another triangle, then the triangles are congruent'?

• SSS

• ASA

• AAS

• SAS

In triangle ∆ABC, what is the included angle between sides AB and AC?

• ∠B

• ∠A

• ∠C

• ∠ABC

Given triangle ∆XYZ, what is the included side between angles X and Y?

• YX

• XZ

• YZ

• XY

Which of the following illustrates the SAS congruence postulate?

• Two angles and a non-included side

• Two sides and an included angle

• Three sides

• Two angles and a side

What is the minimum requirement needed to prove triangle congruence using the SSS postulate?

• Two angles and a side

• One angle and two sides

• Three sides

• Two sides and an angle

If ∠A ≅ ∠D and ∠B ≅ ∠E, which postulate can be used to prove that triangles ∆ABC and ∆DEF are congruent?

• ASA

• SSS

• AAS

• SAS

What is the included angle between sides AB and BC in triangle ∆ABC?

• ∠A

• ∠C

• ∠ABC

• ∠B

Which triangle congruence postulate requires two sides and the included angle?

• SAS

• ASA

• AAS

• SSS

In triangle ∆PQR, if PQ ≅ ST and QR ≅ TU, which additional information is needed to prove ∆PQR ≅ ∆STU by SAS?

• Angle P

• Angle Q

• Side PR

• Angle R