Exploring Parallel Lines and Transversals

This lesson explores angle relationships, focusing on parallel lines and transversals. It covers key vocabulary such as congruent, complementary, and supplementary angles, and explains how to identify these relationships in diagrams. The lesson also demonstrates how to use these relationships to find missing angle measures, providing practice problems for reinforcement.

What is a transversal line?

• A line that intersects a triangle

• A line that is perpendicular to another line

• A line that passes through at least two lines

• A line that forms a right angle

Tags

CCSS.HSG.CO.A.1

What are congruent angles?

• Angles that add up to 180°

• Angles that form a straight line

• Angles that have the same measure

• Angles that add up to 90°

Tags

CCSS.8.G.A.2

What is the sum of complementary angles?

• 90°

• 180°

• 360°

• 45°

Tags

CCSS.7.G.B.5

What is the sum of supplementary angles?

• 90°

• 180°

• 360°

• 45°

Tags

CCSS.7.G.B.5

What is the relationship between the angles in a triangle?

• They are all supplementary

• They add up to 180°

• They are all congruent

• They add up to 90°

Tags

CCSS.8.G.A.5

In a diagram with two parallel lines and a transversal, how many different angle measures are there?

• Three

• Two

• Four

• One

Tags

CCSS.8.G.A.5

Which angles are congruent in a diagram with two parallel lines and a transversal?

• Corresponding angles

• Alternate interior angles

• Adjacent angles

• Both b and c

Tags

CCSS.8.G.A.5

What is the relationship between angle 1 and angle 2 if they form a straight line?

• They are congruent

• They are complementary

• They are supplementary

• They are vertical angles

Tags

CCSS.7.G.B.5

If angle 1 is 115°, what is the measure of angle 2 if they are supplementary?

• 180°

• 65°

• 75°

• 115°

Tags

CCSS.7.G.B.5

If angle 6 is 75°, what is the measure of angle 8 in the same diagram?

• 115°

• 105°

• 75°

• 65°

Tags

CCSS.7.G.B.5