Proving Lines Parallel Check

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 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 Linear Pair?

Back

If two angles form a linear pair and are supplementary, then the lines are parallel.

Front

What does it mean for two angles to be supplementary?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

Which angles must be supplementary for lines to be parallel?

Back

If two angles are on the same side of the transversal and are supplementary, then the lines are parallel.

Front

What is the relationship between ∠3 and ∠4 if j is parallel to k?

Back

∠3 and ∠4 must be supplementary.

Front

What is the relationship between ∠3 and ∠5 if line l is parallel to line m?

Back

∠3 must be congruent to ∠5.

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that do not intersect or touch each other at any point.

Front

What is the role of a transversal in proving lines parallel?

Back

A transversal is a line that intersects two or more lines, helping to establish relationships between angles.

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 congruent.