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.

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.

indritachandra1999 indritachandra1999 · Answer 2 · 2022-07-04T12:52:57+02:00

The correct option is (D) For parallel lines cut by a transversal, corresponding angles are congruent, so ∠OCP ≅ ∠ABC.

Transversal corresponding angles -

The corresponding perspective postulate states that the corresponding angles are congruent if the transversal intersects parallel strains. In different words, if a transversal intersects parallel strains, the corresponding angles might be usually equal.

Since we want to expose the relationship of the evidence from

m∠OCP + m∠PCQ = 90°

through the transitive belongings of equality to the definition of congruent angles,

m∠OCP= m∠ABC,

letter D which states that For parallel strains reduce through a transversal, corresponding angles are congruent,

so,

∠OCP ≅ ∠ABC is the best statements that follow all the steps.

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