Parallel Lines Proofs

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Front

What is the Corresponding Angles Postulate?

Back

If two parallel lines are cut by a transversal, then each pair of corresponding angles is equal.

Front

What is the Alternate Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.

Front

What is the Consecutive Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary (adds up to 180 degrees).

Front

If m∠5=65˚ and m∠9=115˚, what can be concluded?

Back

line c is parallel to line d.

Front

If ∠2 ≅ ∠10, what can be concluded?

Back

line c is parallel to line d.

Front

If ∠1 ≅ ∠8, what can be concluded?

Back

line b is parallel to line a.

Front

If ∠9 ≅ ∠12, what can be concluded?

Back

None of the lines can be determined to be parallel.

Front

If ∠1 ≅ ∠3, what can be concluded?

Back

line a is parallel to line b.

Front

What is a transversal?

Back

A transversal is a line that intersects two or more lines at different points.