Terms Used To Define A Ray

Which Pair Of Undefined Terms Is Used To Define A Ray?

1. Point and plane
2. Line and point
3. Line and angle
4. Plane and angle

Correct Answer

Line and point

Explanation

A Ray in geometry is a line starting at some point (called the endpoint) and moving infinitely in one direction. The pair of undefined terms used to define a ray is are Line and a point.

• Point: A place/location in the space with no size.

• Line: A one-dimensional figure that extends infinitely in both directions.

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Why Not the Other Options?

1. Point and plane

• A plane is a two-dimensional surface extending infinitely, which is not equivalent to a line, a one-dimensional figure.

1. Line and angle

• Angles are formed by rays, but they don’t define what a ray is.

1. Plane and angle

• Whether it be a Plane or an angle, none of these defines a ray at its base.

Real-Life Applications of Rays

1. Light Rays – In optics, rays are used to model the path light travels.
2. Laser Beams – Represented as a ray for direction and starting point.
3. Radar or Navigation Systems – Use a ray-like direction from a point.

FAQ’s

Q1. What are the undefined terms in geometry?

There are three undefined terms in geometry with them being Point, Line, and Plane. These three terms make up the basis of all geometry.

Q2. What is the importance of undefined terms in geometry?

Undefined terms are the base building blocks of Geometry. They are the most basic aspects of the subject, to the point that no definition can clearly define them. After all, every definition in geometry is based upon them. Instead, we use our intuition to understand their properties and use them.

Q3. What is the difference between a ray and a line segment?

A Ray has a single Endpoint and then extends straight in a single direction infinitely. A line segment, on the other hand, has two end points; hence, it has a finite and measurable length.

Q4. Can two rays with the same starting point be identical?

Yes, two rays with the same starting point can be identical, given that they have the same direction. Otherwise, they would not be identical but create two distinct rays that might have an angle between them.

Q5. Can two rays form an angle?

Yes. When two rays share a common endpoint, they form an angle. The shared point is called the vertex of the angle, and the rays are the sides