2.2 Proving Lines Parallel

Front

What are Corresponding Angles?

Back

Angles that are in the same position on two parallel lines cut by a transversal. If the corresponding angles are congruent, the lines are parallel.

Front

What are Alternate Interior Angles?

Back

Angles that are on opposite sides of the transversal and inside the two lines. If these angles are congruent, the lines are parallel.

Front

What are Same-Side Interior Angles?

Back

Angles that are on the same side of the transversal and inside the two lines. If these angles are supplementary, the lines are parallel.

Front

What is the Converse of the Corresponding Angles Theorem?

Back

If two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel.

Front

What is the Converse of the Alternate Interior Angles Theorem?

Back

If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

Front

What is the Converse of the Same-Side Interior Angles Theorem?

Back

If two lines are cut by a transversal and the same-side interior angles are supplementary, then the lines are parallel.

Front

What is a Linear Pair of Angles?

Back

A pair of adjacent angles whose non-common sides form a straight line. Linear pairs are supplementary.

Front

If ∠4 ≅ ∠5, what can be concluded about lines r and s?

Back

Lines r and s are parallel by the converse of the Corresponding Angles Theorem.

Front

If ∠3 ≅ ∠7, what can be concluded about lines r and s?

Back

Nothing can be concluded about lines r and s.

Front

Which angles are NOT congruent to angle 5?

Back

Angle 6 is NOT congruent to angle 5.