Exploring Congruent Angles with Parallel Lines

How do we indicate that two lines are parallel in a diagram?

• By drawing a circle around them

• By marking arrows in the middle of the lines

• By drawing a square at the end of the lines

• By coloring them red

What does the parallel postulate state?

• Through a point not on a line, there are infinite lines parallel to the given line

• Through a point not on a line, there is exactly one line parallel to the given line

• Through a point on a line, there are two lines parallel to the given line

• Through a point on a line, there are no lines parallel to the given line

What can be said about alternate interior angles when two lines are parallel?

• They are equal to 90 degrees

• They are complementary

• They are congruent

• They are supplementary

If two parallel lines are cut by a transversal, what is true about any pair of angles?

• They are either congruent or supplementary

• They are always equal to 90 degrees

• They are always supplementary

• They are always congruent

What are alternate exterior angles?

• Angles on opposite sides of the transversal and outside the parallel lines

• Angles on the same side of the transversal and inside the parallel lines

• Angles on the same side of the transversal and outside the parallel lines

• Angles on opposite sides of the transversal and inside the parallel lines

What are corresponding angles?

• Angles on the same side of the transversal, one inside and one outside the parallel lines

• Angles on opposite sides of the transversal and inside the parallel lines

• Angles on the same side of the transversal and inside the parallel lines

• Angles on opposite sides of the transversal and outside the parallel lines

What does Theorem 41 state about interior angles on the same side of the transversal?

• They are supplementary

• They are equal to 90 degrees

• They are complementary

• They are congruent

What is true if a line is perpendicular to one of two parallel lines?

• It forms a right angle with the other line

• It is not related to the other line

• It is parallel to the other line

• It is perpendicular to the other line as well

What happens if two lines are parallel to a third line?

• They are parallel to each other

• They are perpendicular to each other

• They are not related to each other

• They form a right angle with each other

What is the relationship between the slopes of two lines that are perpendicular to the same line?

• They have no specific relationship

• They have the same slope

• They have opposite slopes

• They have opposite reciprocal slopes