Parallel Lines Theorems

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Consecutive interior angles theorem

• Consecutive interior angles converse

• Not valid

• Corresponding angles postulate

• Corresponding angles converse

• Consecutive interior angles theorem

• Consecutive interior angles converse

• Not valid

• Corresponding angles postulate

• Corresponding angles converse

• Consecutive interior angles theorem

• Consecutive interior angles converse

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Consecutive interior angles theorem

• Consecutive interior angles converse

Angles 1 and 5 prove lines parallel... true or false?

• true

• false

If you know that angle 4 ≅ angle 6, how can you prove PQ||RS?

• Converse of corresponding angle theorem

• Converse of alternate interior angles theorem

• Converse of same side interior angles postulate

• Converse of alternate exterior angles theorem

If ∠8 ≅ ∠6, which of the following can be used to determine lines are parallel?

• Corresponding Angles Converse

• Alternate Interior Angles Converse

• Alternate Exterior Angles Converse

• Interiors on Same Side Converse

• none of the above

Supply the first statement.

• m ll n

• < 4 = < 6

• Given

• Definition of parallel lines

If two lines are cut by a transversal and the alternate interior angles are congruent, what can be concluded about the two lines?

• The lines are perpendicular.

• The lines are parallel.

• The lines intersect at one point.

• No conclusion can be drawn.

Which property do parallel lines NOT share?

• Equal slopes

• Equidistant from each other at all points

• Intersecting at a 90-degree angle

• Never intersecting