Triangle Congruence Postulates

Match each congruence postulate with its abbreviation. Congruence Postulate Angle - Side - Angle Side - Angle - Side Angle - Angle - Side Hypotenuse - Leg Side - Side - Side Triangle Congruence Postulates Abbreviation AAS ? ASA ? SSS ? SAS ? HL ? Use the diagram to name the included angle between the given pair of the sides.AB and BC BC and CD AB and BD Sides Included Angle ∠BCD ? ∠CBA ? ∠DBA ? Decide whether enough information is given to prove that the triangles are congruent. Yes, congruent by AAS Yes, congruent by HL Yes, congruent by SSS Yes, congruent by SAS Not necessarily congruent Yes, congruent by ASA Decide whether enough information is given to prove that the triangles are congruent. Yes, congruent by SSS Yes, congruent by SAS Yes, congruent by AAS Yes, congruent by HL Yes, congruent by ASA Not necessarily congruent Decide whether enough information is given to prove the triangles are congruent: Yes, by SSS only Yes, by ASA only Yes, by AAS only Yes, by SAS only Not enough information Decide whether enough information is given to prove that the triangles are congruent. Yes, congruent by SSS Yes, congruent by SAS Yes, congruent by AAS Yes, congruent by HL Yes, congruent by ASA Not necessarily congruent Decide whether enough information is given to prove that the triangles are congruent. Yes, congruent by SSS Yes, congruent by SAS Yes, congruent by AAS Yes, congruent by HL Yes, congruent by ASA Not necessarily congruent Decide whether enough information is given to prove that the triangles are congruent. Yes, congruent by SSS Yes, congruent by SAS Yes, congruent by AAS Yes, congruent by HL Yes, congruent by ASA Not necessarily congruent The triangles shown are congruent. Complete the congruence statement and give the correct postulate. ΔBCA ≅ Δ by The triangles shown are congruent. Complete the congruence statement and give the correct postulate. ΔTSR ≅ Δ by |

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