Exploring Parallel Line Proofs

What is the main focus of the lesson?

• Drawing parallel lines

• Identifying angle pair relationships

• Proving lines are parallel using converses of known theorems

• Calculating the measure of angles

What does the converse of the corresponding angles postulate state?

• If same side interior angles are supplementary, then the lines are parallel

• If alternate interior angles are congruent, then the lines are parallel

• If corresponding angles are congruent, then the lines are parallel

• If two lines are parallel, then corresponding angles are congruent

In the diagram, if angle 1 is congruent to angle 2, what can be concluded?

• The lines are perpendicular

• The lines are not parallel

• The lines are parallel

• The angles are supplementary

What is another method to prove lines are parallel besides using the converse of the corresponding angles postulate?

• Using the converse of the linear pair postulate

• Using the converse of the vertical angles theorem

• Using the converse of the alternate interior angles theorem

• Using the converse of the same side exterior angles theorem

What does the converse of the alternate interior angles theorem state?

• If alternate interior angles are congruent, then the lines are parallel

• If corresponding angles are congruent, then the lines are parallel

• If two lines are parallel, then alternate interior angles are congruent

• If same side interior angles are supplementary, then the lines are parallel

What does the converse of the alternate exterior angles theorem state?

• If alternate exterior angles are congruent, then the lines are parallel

• If corresponding angles are congruent, then the lines are parallel

• If same side interior angles are supplementary, then the lines are parallel

• If two lines are parallel, then alternate exterior angles are congruent

What is unique about the same side interior angles theorem?

• The angles must be congruent

• The angles must be supplementary

• The angles must be complementary

• The angles must be vertical

What should you check to determine if same side interior angles are supplementary?

• If their measures add up to 90 degrees

• If their measures add up to 180 degrees

• If their measures are equal

• If their measures are complementary

In the example, if angle 3 and angle 5 add up to 180 degrees, what can be concluded?

• The lines are perpendicular

• The angles are congruent

• The lines are parallel

• The lines are not parallel

Why is it important to use the word 'converse' when proving lines are parallel?

• It indicates the lines are already parallel

• It proves the lines are perpendicular

• It changes the entire theorem

• It shows the angles are congruent