Question

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.

Answer 1

The missing step in the given proof is option d. For parallel lines cut by a transversal, corresponding angles are congruent, so ∠ocp ≅ ∠abc.

Step-by-step explanation:

The proof correctly uses the linear pair theorem and the vertical angles theorem to establish the congruence of ∠pqc and ∠acp, and the congruence of ∠ocp and ∠bcd, respectively. However, to establish the congruence of ∠ocp and ∠abc, we need to use the fact that for parallel lines cut by a transversal, corresponding angles are congruent.