Understanding Opposite Rays | Definition, Examples, and Applications in Geometry

opposite rays

Opposite rays are a pair of rays that share the same endpoint but extend in opposite directions

Opposite rays are a pair of rays that share the same endpoint but extend in opposite directions. They form a straight line together. The two rays are collinear (lie on the same line) and are called “opposite” because they point in exactly opposite directions from the common endpoint.

To understand opposite rays, let’s consider a simple example. Imagine a line segment AB. Now extend the line segment in both directions from point A to create two rays. One pointing towards B and the other in the opposite direction, away from B. These two rays, AB and BA, are opposite rays because they have the same endpoint (A) and extend indefinitely in opposite directions.

Opposite rays are also referred to as “opposites” or “opposite directions.” They are useful in geometry when studying angles and understanding points, lines, and rays.

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