## Opposite sides are parallel

### In geometry, the term “opposite sides are parallel” refers to a property of parallelograms

In geometry, the term “opposite sides are parallel” refers to a property of parallelograms. A parallelogram is a four-sided polygon with opposite sides that are parallel (meaning they never intersect) and congruent (meaning they have the same length).

When we say that opposite sides are parallel, we are stating that if we take a parallelogram and extend its sides indefinitely, they will never meet. This property is unique to parallelograms and distinguishes them from other types of quadrilaterals.

To better understand this concept, let’s consider the following diagram:

A ————- B

/ \

/ \

/ \

D ————- C

In this diagram, we have a parallelogram ABCD. Here, AB is parallel to CD and BC is parallel to AD. This means that if we extend AB and CD, their lines will never intersect, and if we extend BC and AD, their lines will also never intersect.

Additionally, this property also implies that opposite sides in a parallelogram have equal slopes. The slope of a line represents its steepness, and when two lines have equal slopes, they are parallel.

In conclusion, when referring to a parallelogram, the statement “opposite sides are parallel” means that the sides of the shape do not intersect and can be extended indefinitely without meeting.

##### More Answers:

The Importance of Opposite Sides Being Parallel in Parallelograms | Exploring the Fundamental Property and Its Implications in GeometryUnderstanding Right Angles | Definition, Examples, and Contexts

Understanding the Concept of Equal Sides in Geometry and Its Importance