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ASA and AAS Triangle Congruence Worksheet name _________________________ date ____ per__ Can the triangles be proven congruent? Explain why (using a shortcut) or why not. State the additional sides or angles that must be congruent in order to prove that ∆𝐴𝐴𝐴 ≅ ∆𝐷𝐷𝐷 using the indicated Triangle Congruence Shortcut. Is it possible to prove the triangles are congruent? If so, identify the Triangle Congruence Shortcut (SSS, SAS, ASA, or AAS) that you would use. Explain your reasoning. 14. Write a two-column proof. Statements Reasons 1. 1. Given 2. 2. _________________Property 3. ∆__________ ≅ __________ 3. 15. Write a two-column proof. Statements 1. Reasons 1. Given 2. ∠𝐴 is a right angle; ∠𝐷 is a right angle 2. Definition of 3. ∠𝐴 ≅ ∠ ____ 3. All right angles are congruent 4. 4. Given 5. ∠𝐴𝐶𝐶 ≅ ∠______ 5. 6. ∆𝐴𝐵𝐵 ≅ 6.