Proving Lines Parallel in Geometry

What is the main focus of Section 3.3?

• Proving lines are perpendicular

• Proving lines are parallel

• Calculating the area of shapes

• Finding the length of lines

What does Postulate 3.2 state?

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

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

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

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

What is the conclusion if alternate interior angles are congruent?

• The lines are perpendicular

• The lines are parallel

• The lines are skew

• The lines are intersecting

Which property is used to prove that angle 1 is congruent to angle 3?

• Symmetric property

• Reflexive property

• Transitive property

• Substitution property

What can be concluded if corresponding angles are congruent?

• The lines are intersecting

• The lines are skew

• The lines are perpendicular

• The lines are parallel

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

• They are congruent

• They are equal

• They are supplementary

• They are complementary

What does Theorem 3.6 deal with?

• Corresponding angles

• Vertical angles

• Alternate exterior angles

• Alternate interior angles

In the example problem, which lines are determined to be parallel if angles 1 and 2 are congruent?

• Lines b and m

• Lines a and m

• Lines a and b

• Lines a and k

What must be true about same side interior angles for the lines to be parallel?

• They must be congruent

• They must be supplementary

• They must be complementary

• They must be equal

What value of x makes the lines parallel in the final problem?

• 20

• 35

• 25

• 30