Parallel Line Proofs

Front

What does 'm ll n' signify in geometry?

Back

It signifies that line m is parallel to line n.

Front

What is the Given statement in a parallel line proof?

Back

The Given statement is the initial information provided in the problem, often stating that two lines are parallel.

Front

What are Same Side Consecutive Interior Angles?

Back

They are pairs of angles that lie on the same side of a transversal and between two lines.

Front

What does the Corresponding Angles Postulate state?

Back

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

Front

What is the relationship between angles formed by a transversal and parallel lines?

Back

Angles formed by a transversal with parallel lines can be classified as corresponding angles, alternate interior angles, or same side interior angles.

Front

How can you prove that two lines are parallel using angles?

Back

If a pair of alternate interior angles are congruent, then the two lines are parallel.

Front

What is the definition of parallel lines?

Back

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

Front

What is the significance of angles 12 and 7 in proving lines parallel?

Back

If angles 12 and 7 are congruent, it can be concluded that the lines are parallel.

Front

What is the role of a transversal in geometry?

Back

A transversal is a line that intersects two or more lines at different points, creating various angles.

Front

What are alternate interior angles?

Back

They are pairs of angles that lie between two lines and on opposite sides of a transversal.