Proving Properties of Angles Created When Parallel Lines Are Cut by a Transversal

If a transversal intersects two parallel lines, which of the following angle pairs are congruent?

• Alternate interior angles

• Corresponding angles

• Both a and b

• Same side interior angles

If two lines are cut by a transversal and the same side interior angles are supplementary, what can be concluded about the lines?

• They are parallel.

• They are skew.

• They are perpendicular.

• There is not enough information.

Given two parallel lines cut by a transversal, if one of the corresponding angles measures 45 degrees, what is the measure of the other corresponding angle?

• 45

• 90

• 60

• 30

State the properties of alternate interior angles when two parallel lines are cut by a transversal.

• They are equal.

• They are supplementary.

• They are complementary.

• They are congruent.

If two parallel lines are cut by a transversal and one of the same side interior angles measures 120 degrees, what is the measure of the other same side interior angle?

• 60 degrees

• 120 degrees

• 180 degrees

• 240 degrees

If two lines are cut by a transversal and the corresponding angles are congruent, what can be concluded about the lines?

• The lines are parallel.

• The lines are perpendicular.

• The lines are skew.

• The lines are intersecting.

If a transversal is perpendicular to one of two parallel lines, what can be concluded about the angles formed?

• All angles are right angles.

• Alternate interior angles are equal.

• Corresponding angles are equal.

• The sum of angles on the same side of the transversal is 180 degrees.

Alternate interior angles: When two parallel lines are cut by a transversal, the alternate interior angles are congruent.

• True

• False

Which of the following statements is true about alternate interior angles formed when two parallel lines are cut by a transversal?

• They are always equal.

• They are supplementary.

• They are complementary.

• They are always unequal.

Which of the following diagrams correctly shows two parallel lines cut by a transversal with all corresponding angles, alternate interior angles, and same side interior angles labeled?

• Diagram A

• Diagram B

• Diagram C

• Diagram D