Question

Use the given figure to name five line segments.

Answer 1

 Hint: First, find the definition of a line segment. Using this definition, identify five pairs of marked points among B, C, D, E, or O which lie on the same line to find one line segment. One pair of marked points will serve as the end points for a line segment.

Complete step-by-step answer:
In this question, we are given a figure.
We need to name five line segments using this given figure.
First, let us define what a line segment actually is.
In geometry, a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints.
According to this definition, we need to choose two marked points from B, C, D, E, or O which lie on the same line to find one line segment. These two marked points will serve as the end points for a line segment.
From the figure, we can see that there is one line which extends infinitely on both the sides and there are two rays which originate from the point O and extend infinitely on the side opposite to O.
From the ray, we have one line segment which is OC.
From the infinite line, we have the following non overlapping line segments: DE, EO, OB.
Now, DO is also a line segment and it is different from DE orEO though it overlaps both of them.
So, the required five line segments are OC, DE, EO, OB, and DO

Note: In this question, it is important to know what a line segment actually is. A line segment is a part of a line that is bounded by two distinct end points and contains every point on the line between its endpoints. Also, note that DO is also a line segment and it is different from DE or EO though it overlaps both of them.