GEOMETRY
POINTS, LINES, SEGMENTS, & RAYS
POINT
A point in geometry is not really anything but
some location or position in space. It has no
width, length or depth. A point or dot on a
piece of paper has some size to it but in
geometry there is no size to it. An intersection
of two lines could establish a point.
LINE:
For geometric purposes we will define a line as an
infinite straight line extending in two directions.
A line has length but no width nor thickness. Let me
define this for you. When we draw a line with a pen
it has width because we can see it and you could
measure it. It is the same width as the tip on the
pen. No matter how thin of a pen you are using it
still has some dimension to it. But in geometry this
line would actually be
invisible to our eyes because
it is defined as only having
length (no thickness nor width.
Through two given points one
and only one straight line can
be drawn.
LINE SEGMENT: A section of line between two
end points. This is also the
shortest distance between two
points. In sheet metal line
segments are what we always
work with.
RAY:
Portion of line bound in one
direction by an end point and
extending in the other
direction indefinitely.
PERPENDICULAR LINES: Lines which intersect at
right angles.(90 degrees)
PARALLEL LINES: In a plane, lines which cannot meet, however far
they may extend. The line, line segment and ray
below are all parallel to each other.
LINE
RAY
LINE SEGMENT
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some location or position in space. It has no
width, length or depth. A point or dot on a
piece of paper has some size to it but in
geometry there is no size to it. An intersection
of two lines could establish a point.
LINE:
For geometric purposes we will define a line as an
infinite straight line extending in two directions.
A line has length but no width nor thickness. Let me
define this for you. When we draw a line with a pen
it has width because we can see it and you could
measure it. It is the same width as the tip on the
pen. No matter how thin of a pen you are using it
still has some dimension to it. But in geometry this
line would actually be
invisible to our eyes because
it is defined as only having
length (no thickness nor width.
Through two given points one
and only one straight line can
be drawn.
LINE SEGMENT: A section of line between two
end points. This is also the
shortest distance between two
points. In sheet metal line
segments are what we always
work with.
RAY:
Portion of line bound in one
direction by an end point and
extending in the other
direction indefinitely.
PERPENDICULAR LINES: Lines which intersect at
right angles.(90 degrees)
PARALLEL LINES: In a plane, lines which cannot meet, however far
they may extend. The line, line segment and ray
below are all parallel to each other.
LINE
RAY
LINE SEGMENT
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