Question

Given: Lines p and q are parallel and r is a transversal.

Prove: ∠2 ≅ ∠7

Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7.
A 2-column table with 4 rows. Column 1 is labeled statements with the entries p is parallel to q and r is a transversal, A, B, angle 2 is congruent to angle 7. Column 2 is labeled reasons with the entries given, vertical angles are congruent, correlated angle theorem, transitive property.

Which statements could complete the proof?

A:


B:

Answer 1

A = ∠6 ≅ ∠7 (vertical angles are congruent)
B = ∠2 ≅ ∠6 (corresponding angles are congruent, since p ∥ q)

Then by transitive property ∠2 ≅ ∠7.