Geometry A 2.4 Proving Lines 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 Consecutive Interior Angles Theorem?

Back

If two lines are cut by a transversal and the consecutive interior angles are supplementary, then 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 can be concluded if ∠3 ≅ ∠7?

Back

Nothing can be concluded about the lines being parallel.

Front

What can be concluded if m∠7 + m∠8 = 180°?

Back

r is parallel to s by Converse of Consecutive Interior Angles Theorem.

Front

What can be concluded if m∠3 + m∠6 = 180°?

Back

u is parallel to b by Converse of Consecutive Interior Angles Theorem.

Front

What can be concluded if ∠4 ≅ ∠5?

Back

r is parallel to s by Converse of Corresponding Angles Theorem.

Front

Define Alternate Interior Angles.

Back

Angles that are on opposite sides of the transversal and inside the two lines.

Front

Define Consecutive Interior Angles.

Back

Angles that are on the same side of the transversal and inside the two lines.

Front

Define Corresponding Angles.

Back

Angles that are in the same position on two parallel lines in relation to a transversal.