Q:
# Why Are Parallel Lines Important?

**Parallel lines are important in mathematics because they are at the base of several conjectures involving angles in geometry.** Drawing a line, called a transversal, through a pair of parallel lines forms three different types of angles that have known mathematical properties.

The three types of angles formed from a transversal and a set of parallel lines are corresponding angles, alternate interior angles and alternate exterior angles. Each angle in a set is congruent to the other angles of the same type. Therefore, if the measure of one angle is known, it is possible to find the measure of other angles.

Parallel lines in geometry are lines in the same plane that have the same slope and do not intersect.

Learn more about Geometry-
Q:
## What Are the Steps in Proving Lines Are Parallel?

A: Parallel lines are lines along the same plane that never intersect, even though they are of infinite length. If you are working on a construction project, ... Full Answer >Filed Under: -
Q:
## What Are Some Real-Life Examples of Parallel Lines?

A: Parallel lines exist everywhere in everyday life, including on the sides of a piece of paper and the way that the shelves of a bookcase are positioned. Par... Full Answer >Filed Under: -
Q:
## What Is Spherical Geometry?

A: Spherical geometry is the branch of mathematics that deals with figures placed on the surface of a sphere. It can also be defined as a three-dimensional vi... Full Answer >Filed Under: -
Q:
## What Is a Counterexample in Geometry?

A: A counterexample, in geometry as in other areas of mathematics and logic, is an example that one uses to prove that a particular statement is false. A simp... Full Answer >Filed Under: