Proving Lines Parallel Check

Front

What is the Converse of 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 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 the Converse of Corresponding Angles Postulate?

Back

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

Front

What are Same-Side Interior Angles?

Back

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

Front

What are Corresponding Angles?

Back

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

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they never intersect and are always the same distance apart.

Front

What is a transversal?

Back

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

Front

If ∠2 ≅ ∠6, what can be concluded about lines l and m?

Back

Lines l and m are parallel by the Converse of Corresponding Angles Postulate.

Front

If m∠7 + m∠8 = 180°, what can be concluded about lines l and m?

Back

Lines l and m are parallel by the Converse of Same-Side Interior Angles Theorem.