Exploring Properties of Parallel Lines

What is a transversal in the context of parallel lines?

• A line intersecting one parallel line

• A line parallel to another line

• A line intersecting two parallel lines at distinct points

• A curved line intersecting two lines

Which angles are formed on opposite sides of the transversal and inside the parallel lines?

• Alternate exterior angles

• Corresponding angles

• Alternate interior angles

• Same side exterior angles

What type of angles are on the opposite sides of the transversal and outside the parallel lines?

• Same side interior angles

• Same side exterior angles

• Corresponding angles

• Alternate exterior angles

What is the relationship between same side interior angles?

• They are supplementary

• They are complementary

• They are identical

• They are congruent

If two angles are on the same side of the transversal and outside the parallel lines, what is their relationship?

• They are identical

• They are supplementary

• They are congruent

• They are complementary

According to the corresponding angles postulate, what is true about corresponding angles when a transversal intersects two parallel lines?

• They are supplementary

• They are opposite

• They are congruent

• They are adjacent

What theorem states that alternate interior angles are congruent when a transversal intersects two parallel lines?

• Same side interior angles theorem

• Corresponding angles postulate

• Alternate exterior angles theorem

• Alternate interior angles theorem

Which angles are congruent due to the corresponding angles postulate?

• Same side interior angles

• Alternate interior angles

• Alternate exterior angles

• Corresponding angles

How can you determine the measure of an angle if it forms a supplementary pair with another angle of known measure?

• Divide the known angle measure by 2

• Multiply the known angle measure by 2

• Subtract the known angle measure from 180

• Add the known angle measure to 180

In solving for angle measures, what is the first step in the process?

• Identify if the lines are parallel

• Calculate the sum of angles

• Determine if the angles are supplementary

• Identify the relationship between the angles