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Mathematics, 16.07.2020 01:01 jchse4365
Given: ⊙O with central angles ∠AOC ≅ ∠BOD Prove: AC ≅ BD Circle O is shown. Line segments O A, O C, O B, and O D are radii. Line segments connect points A and C and points B and D to form 2 triangles inside of the circle. Angles A O C and B O D are congruent. Complete the missing parts of the paragraph proof. Proof: We know that central angles are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because . Then by the congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because .
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Given: ⊙O with central angles ∠AOC ≅ ∠BOD Prove: AC ≅ BD Circle O is shown. Line segments O A, O C,...
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