QQuestionMathematics
QuestionMathematics
Which is the definition of a ray?
A. A part of a line that has one endpoint and extends indefinitely in one direction
B. The set of all points in a plane that are a given distance away from a given point
C. Lines that lie in the same plane and do not intersect
D. A part of a line that has two endpoints
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Answer
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Step 1:I'll solve this problem step by step:
Step 2:: Understand the geometric definitions
A ray is a fundamental concept in geometry. Let's carefully analyze each option to determine which matches the precise definition of a ray.
Step 3:: Evaluate Option A
\text{Option A: A part of a line that has one endpoint and extends indefinitely in one direction}
- This description perfectly captures the definition of a ray - A ray starts at a single point (the endpoint) - It then extends in one direction without stopping - This matches the mathematical definition of a ray
Step 4:: Evaluate Option B
\text{Option B: The set of all points in a plane that are a given distance away from a given point}
- This actually describes a circle, not a ray - A circle is defined by points equidistant from a central point
Step 5:: Evaluate Option C
\text{Option C: Lines that lie in the same plane and do not intersect}
- This describes parallel lines - This is not the definition of a ray
Step 6:: Evaluate Option D
\text{Option D: A part of a line that has two endpoints}
- This describes a line segment - A line segment has definite start and end points - This is NOT the definition of a ray
Final Answer
A ray is a geometric figure with one fixed endpoint that extends infinitely in one direction.
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