HW 3.3

Front

What condition proves that line l is parallel to line m?

Back

If ∠3 ≅ ∠5, then line l is parallel to line m.

Front

Which pair of angles must be supplementary for lines r and s to be parallel?

Back

∠5 and ∠6 must be supplementary.

Front

What do you use if you already know two lines are parallel?

Back

You would use an angle postulate (e.g., same-side interior angle).

Front

What relationship proves that line j is parallel to line k?

Back

If ∠3 and ∠4 are supplementary, then line j is parallel to line k.

Front

What value of x shows that lines l and m are parallel?

Back

x = 24.

Front

Define supplementary angles.

Back

Supplementary angles are two angles whose sum is 180 degrees.

Front

What is the converse of an angle postulate?

Back

The converse of an angle postulate states that if two angles are in a specific relationship, then the lines are parallel.

Front

What is the same-side interior angle postulate?

Back

If two parallel lines are cut by a transversal, then each pair of same-side interior angles is supplementary.

Front

What is the alternate interior angle theorem?

Back

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

Front

What is the corresponding angles postulate?

Back

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