A ray is defined as a piece of a line that has one end point and the other end extends infinitely i.e., option D is correct.
Further explanation:
In geometry the three terms which are considered to be undefined are line, point and plane. From these three undefined terms the other terms in the geometry are defined.
A ray is defined as a piece of line which starts from one point and the other end extends indefinitely in the other direction.
There are four options given out of which one option is to be marked as the correct answer.
Option A:
In the option A it is given that a ray is defined as a piece of line with two end points.
The above statement which defines the ray is completely incorrect because a ray cannot have it’s both ends fixed. The piece of a line which has its both ends fixed is called a line segment.
For a ray one end is fixed and the other end extends continuously.
This implies that option A is incorrect.
Option B:
In the option B it is given that a ray is defined as a collection of all such points which are equidistant from a given point.
The above statement which defined the ray is completely incorrect because the collection of all the points which are equidistant from a given point is called circle.
This implies that option B is incorrect.
Option C:
In the option C it is given that a ray is defined as a two line segments with a common endpoint.
The above statement which defined the ray is completely incorrect because when two line segments are joined with a common endpoint it does not form a ray.
This implies that option C is incorrect.
Option D:
In the option D it is given that a ray is defined as a piece of a line that has one end point and the other end extends infinitely.
The above statement which defines the ray is completely correct because a ray has one end point and the other end extends continuously.
This implies that option D is correct.
Therefore, a ray is defined as a piece of a line that has one end point and the other end extends infinitely i.e., option D is correct.
Learn more:
1. A problem on composite function brainly.com/question/2723982
2. A problem to find radius and center of circle brainly.com/question/9510228
3. A problem to determine intercepts of a line brainly.com/question/1332667
Answer details:
Grade: High school
Subject: Mathematics
Chapter: Geometry
Keywords: Geometry, circle, line, ray, coordinate geometry, end point, equation, segment, line segment,
