Proving Lines Parallel U2L3

Front

What symbol is used to denote that two lines are parallel?

Back

The symbol used to denote that two lines are parallel is '∥'.

Front

What is the condition for two lines to be considered parallel?

Back

Two lines are considered parallel if they never intersect and are equidistant from each other.

Front

What are Alternate Exterior Angles?

Back

Alternate Exterior Angles are pairs of angles that are on opposite sides of a transversal and outside the two lines.

Front

How can Alternate Exterior Angles be used to prove lines are parallel?

Back

If Alternate Exterior Angles are congruent, then the two lines cut by the transversal are parallel.

Front

What does it mean if two lines are not parallel?

Back

If two lines are not parallel, they will eventually intersect at some point.

Front

What is the relationship between corresponding angles and parallel lines?

Back

If corresponding angles are congruent, then the lines cut by the transversal are parallel.

Front

What is the value of x that makes line m parallel to line n if the corresponding angles are 54 degrees?

Back

The value of x that makes line m parallel to line n is 54.

Front

What is a transversal in geometry?

Back

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

Front

What are Consecutive Interior Angles?

Back

Consecutive Interior Angles are pairs of angles that are on the same side of the transversal and between the two lines.

Front

What is the relationship between Consecutive Interior Angles and parallel lines?

Back

If Consecutive Interior Angles are supplementary (add up to 180 degrees), then the lines are parallel.