Exploring Angle Relationships with Parallel Lines

Mr. Robinson introduces angle relationships and parallel lines, covering basic concepts like adjacent, congruent, complementary, and supplementary angles. He explains linear pairs and vertical angles, then delves into lines cut by a transversal, discussing corresponding, alternate interior, alternate exterior, and same side angles. The video includes examples and exercises to reinforce these concepts.

What are adjacent angles?

• Angles that share a common side and vertex

• Angles that are equal in measure

• Angles that add up to 180 degrees

• Angles that add up to 90 degrees

Which of the following best describes congruent angles?

• Angles that add up to 180 degrees

• Angles that share a common side and vertex

• Angles that are equal in both size and shape

• Angles that add up to 90 degrees

What is a linear pair?

• Two adjacent angles that add up to 180 degrees

• Two angles that share a common side and vertex

• Two angles that are equal in measure

• Two angles that add up to 90 degrees

Which of the following is true about vertical angles?

• They add up to 90 degrees

• They are adjacent and supplementary

• They are opposite each other and congruent

• They share a common side and vertex

What is a transversal?

• A line that forms a right angle with another line

• A line that is parallel to two other lines

• A line that intersects two lines at the same point

• A line that intersects two coplanar lines at two distinct points

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

• Same side interior angles

• Alternate interior angles

• Corresponding angles

• Alternate exterior angles

When lines are parallel, what is true about corresponding angles?

• They are vertical angles

• They are adjacent

• They are congruent

• They are supplementary

What is the relationship between same side interior angles when lines are parallel?

• They are adjacent

• They are supplementary

• They are vertical angles

• They are congruent

If two lines are parallel and cut by a transversal, what is the measure of an alternate exterior angle if one of the angles is 120 degrees?

• 180 degrees

• 120 degrees

• 90 degrees

• 60 degrees

In a diagram with parallel lines cut by a transversal, if one same side interior angle is 125 degrees, what is the measure of the other same side interior angle?

• 55 degrees

• 65 degrees

• 75 degrees

• 85 degrees