proving parallel lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet; they are always the same distance apart.

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 equal.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a straight line crosses two others.

Front

What is the Consecutive Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary (adds up to 180 degrees).

Front

What are alternate exterior angles?

Back

Alternate exterior angles are pairs of angles that lie outside the two lines and on opposite sides of the transversal.

Front

How can you prove that two lines are parallel using angle relationships?

Back

You can prove lines are parallel if alternate interior angles are equal, corresponding angles are equal, or consecutive interior angles are supplementary.

Front

What is the value of x if angle 3 is 47 degrees and angle 5 is an alternate interior angle?

Back

x = 47 degrees (since angle 5 is equal to angle 3).

Front

If line a is parallel to line b, and line c is a transversal, what can be said about angles formed?

Back

The angles formed will have specific relationships: alternate interior angles are equal, corresponding angles are equal, and consecutive interior angles are supplementary.

Front

What is the relationship between alternate exterior angles when two lines are parallel?

Back

Alternate exterior angles are equal when two lines are parallel.

Front

If angle 1 is 25 degrees, what is the measure of angle 2 if they are corresponding angles?

Back

Angle 2 is also 25 degrees.