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julie001
HELP ! Fred and Victoria provide the following proofs for vertical angles to be equal. Which statement is correct?
Fred’s proof: angle 2 + angle 3 = 180° (transversal t is a straight line) angle 1 + angle 2 = 180° (PQ is a straight line segment) Therefore, angle 1 + angle 2 = angle 2 + angle 3 (Transitive Property of Equality) Hence, angle 1 = angle 3 (Subtraction Property of Equality) Victoria’s proof: angle 1 + angle 4 = 180° (transversal t is a straight line) angle 1 + angle 2 =180° (PQ is a straight line segment) Therefore, angle 1 + angle 2 = angle 1 + angle 4 (Transitive Property of Equality) Hence, angle 2 = angle 4 (Subtraction Property of Equality)
Both Fred’s and Victoria’s proofs are correct. Both Fred’s and Victoria’s proofs are incorrect. Only Fred’s proof is correct. Only Victoria’s proof is correct.