What is the missing step in the given proof? A. ∠PQC and ∠ACP are supplementary by the Linear Pair Theorem. B. For parallel lines cut by a transversal, corresponding angles are congruent, so ∠ACB ≅ ∠PCQ. C. ∠OCP ≅ ∠BCD by the Vertical Angles Theorem. D. For parallel lines cut by a transversal, corresponding angles are congruent, so ∠OCP ≅ ∠ABC. E. For parallel lines cut by a transversal, corresponding angles are congruent, so ∠OCA ≅ ∠CBD.

Question

Mathematics

Alvin Raymond

19 July, 19:48

What is the missing step in the given proof? A. ∠PQC and ∠ACP are supplementary by the Linear Pair Theorem. B. For parallel lines cut by a transversal, corresponding angles are congruent, so ∠ACB ≅ ∠PCQ. C. ∠OCP ≅ ∠BCD by the Vertical Angles Theorem. D. For parallel lines cut by a transversal, corresponding angles are congruent, so ∠OCP ≅ ∠ABC. E. For parallel lines cut by a transversal, corresponding angles are congruent, so ∠OCA ≅ ∠CBD.

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Answers (1)

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Snowy · Answer 1

D. For parallel lines cut by a transversal, corresponding angles are congruent, so ∠OCP ≅ ∠ABC.

Step-by-step explanation:

Since we need to show the connection of the proof from m∠OCP + m∠PCQ = 90° by the transitive property of equality to the definition of congruent angles, m∠OCP = m∠ABC, letter D which states that For parallel lines cut by a transversal, corresponding angles are congruent, so ∠OCP ≅ ∠ABC is the only statements that fits to what we need to show.