Explain and draw an example of each of the following concepts:
a) Line segment
b) Parallel lines
c) Perpendicular lines
Answer (1)
Here's an explanation and a drawing for each of the concepts you've asked about:
a) Line Segment
A line segment is part of a line that is bounded by two distinct endpoints, and it contains every point on the line between its endpoints. In simpler words, it is a straight path between two points.
Imagine you have a piece of string stretched tightly between two pins. The part of the string that you see is like a line segment.
Drawing Example:
A--B
This represents a line segment with endpoints at A and B.
b) Parallel Lines
Parallel lines are lines in a plane that do not meet; they are always the same distance apart.
These can be visualized like railroad tracks that run perfectly parallel to each other.
Drawing Example:
Line 1: -------------
Line 2: -------------
Lines that never intersect, no matter how far they are extended.
c) Perpendicular Lines
Perpendicular lines are lines that meet or cross each other to form a right angle (90 degrees).
Imagine the corners of a piece of paper, where the edges meet precisely at a right angle.
Drawing Example:
| | --+-- | |
This drawing shows two lines crossing at a right angle.
