Angles with Parallel Lines and Transversals

What are corresponding angles when two parallel lines are cut by a transversal?

• Corresponding angles are equal.

• Corresponding angles are supplementary.

• Corresponding angles are always acute.

• Corresponding angles are complementary.

Identify the corresponding angles in the diagram provided.

• Angle A and Angle B are corresponding angles.

• Angle C and Angle D are corresponding angles.

• Angle B and Angle D are corresponding angles.

• Angle A and Angle C are corresponding angles.

What are alternate interior angles?

• Pairs of angles formed on opposite sides of a transversal that intersect two parallel lines.

• Pairs of angles that are equal and located on the same line.

• Angles that are adjacent to each other on the same side of a transversal.

• Angles formed by two intersecting lines that are not parallel.

How do you recognize alternate interior angles in a transversal situation?

• Alternate interior angles are the angles that are on opposite sides of the transversal and inside the two parallel lines.

• Alternate interior angles are always equal to each other.

• Alternate interior angles are on the same side of the transversal.

• Alternate interior angles are outside the two parallel lines.

If two parallel lines are cut by a transversal, what is the relationship between corresponding angles?

• Corresponding angles are always obtuse.

• Corresponding angles are complementary.

• Corresponding angles are supplementary.

• Corresponding angles are equal.

In the diagram, which angles are alternate interior angles?

• The angles that are on opposite sides of the transversal and between the two parallel lines.

• The angles that are on the same side of the parallel lines and not intersected by the transversal.

• The angles that are on the same side of the transversal and outside the parallel lines.

• The angles that are adjacent to each other along the transversal.

Explain how to apply transversal angle relationships to find unknown angles.

• Ignore angle relationships and measure directly with a protractor.

• Use only the Pythagorean theorem to find angles.

• Use transversal angle relationships to set up equations based on angle types.

• Assume all angles are equal without any calculations.

If angle 3 is 70 degrees, what is the measure of its corresponding angle?

• 90 degrees

• 70 degrees

• 60 degrees

• 80 degrees

What is the sum of the measures of alternate interior angles when the lines are parallel?

• 90 degrees

• 360 degrees

• 180 degrees

• 45 degrees

How can you prove that two lines are parallel using angle relationships?

• Two lines are parallel if they are both vertical.

• Two lines are parallel if corresponding angles are equal, alternate interior angles are equal, or same-side interior angles are supplementary.

• Two lines are parallel if they have different slopes.

• Two lines are parallel if they intersect at a right angle.