Question

Complete the following statements: If two parallel lines are cut by a transversal, ________ corresponding angles, ________ alternate angles, and ________ interior or exterior angles are congruent. Interior or exterior angles on the same side of the transversal are always ________.

a) corresponding, alternate, interior, congruent
b) alternate, corresponding, interior, congruent
c) corresponding, alternate, exterior, congruent
d) alternate, corresponding, exterior, congruent

Answer 1

The correct answer to the given question about relationships between angles when two parallel lines are cut by a transversal is (c) corresponding, alternate, exterior, congruent. Corresponding and alternate angles are congruent, while interior or exterior angles on the same side of the transversal are supplementary.

Step-by-step explanation:

When two parallel lines are cut by a transversal, certain angles have a specific relationship to each other. Completing the following statements: If two parallel lines are cut by a transversal, corresponding angles, alternate angles, and exterior interior or exterior angles are congruent. Interior or exterior angles on the same side of the transversal are always supplementary.

Therefore, the correct completion of the statement is:

• If two parallel lines are cut by a transversal, corresponding angles, alternate angles, and interior or exterior angles are congruent.
• Interior or exterior angles on the same side of the transversal are always supplementary (adding up to 180 degrees).

As a result, the correct answer is: c) corresponding, alternate, exterior, congruent