Exploring Parallel Lines and Transversals

What is the defining characteristic of parallel lines?

• They have different slopes.

• They have the same slope.

• They intersect at one point.

• They are perpendicular to each other.

What is a transversal in geometry?

• A line that intersects at a right angle.

• A line that intersects two parallel lines.

• A line that is perpendicular to another line.

• A line that is parallel to another line.

Which of the following pairs of angles are congruent?

• Corresponding angles

• Same side interior angles

• Same side exterior angles

• None of the above

What does 'alternate' mean in the context of alternate interior angles?

• On the exterior

• On the interior

• On opposite sides

• On the same side

What is the sum of supplementary angles?

• 90 degrees

• 180 degrees

• 360 degrees

• 45 degrees

If two angles are on the same side of the transversal and on the interior of the parallel lines, what are they called?

• Alternate exterior angles

• Same side interior angles

• Corresponding angles

• Alternate interior angles

In the example where 40x + 5 = 125 degrees, what type of angles are being considered?

• Same side exterior angles

• Alternate interior angles

• Alternate exterior angles

• Corresponding angles

What is the value of x if 14x = 15x - 5?

• x = 15

• x = 10

• x = 20

• x = 5

Which angles are congruent if they are on the outside of the parallel lines and on opposite sides of the transversal?

• Alternate exterior angles

• Same side exterior angles

• Corresponding angles

• Same side interior angles

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

• They are equal to 360 degrees.

• They are equal to 90 degrees.

• They are supplementary.

• They are congruent.