sábado, 22 de abril de 2017

LINE SEGMENT OPERATIONS

Here you can see the presentation we have seen in class

SIMPLE ELEMENTS


POINT


A precise location or place on a plane. Usually represented by a dot, a cross or an x. Since a point is a place, not a thing, it has no dimensions. We label points with capital letters.



LINE

A geometrical object that is straight, infinitely long and infinitely thin. A line is one-dimensional. It has zero width. Using two points, we can create only one line.




In the figure above, the line PQ passes through the points P and Q, and goes off in both directions forever, and is perfectly straight. A line, strictly speaking, has no ends.

VERTICAL AND HORIZONTAL LINES
A vertical line is one which runs up and down the page.
A horizontal line is one which runs left-to-right across the page. It comes from the word 'horizon', in the sense that horizontal lines are parallel to the horizon.

RAY
A portion of a line which starts at a point and goes off in a particular direction to infinity. One way to think of a ray is a line with one end. The point where the ray starts is called the endpoint. A ray is one-dimensional. It has zero width. A ray has no measurable length, because it goes on forever in one direction.


LINE SEGMENT
A straight line which links two points without extending beyond them. A line segment is one-dimensional. It has a measurable length, but has zero width.


MIDPOINT OF A LINE SEGMENT
A point on a line segment that divides it into two equal parts. The halfway point of a line segment.

M is the midpoint
P and Q are the endpoints of the line segment
Besides, points P, M and Q are collinear, because they are on the same line segment.

INTERSECTION OF LINES
The point where two lines or two line segments meet or cross.
Animation
In the figure above we would say that "point K is the intersection of line segments PQ and AB".
Another way it may be said is that "the line segment PQ intersects AB at point K".
PARALLEL LINES
Lines are parallel if they lie in the same plane, and are the same distance apart over their entire length. No matter how far you extend them, they will never meet.
PERPENDICULAR LINES
A line is perpendicular to another if it meets or crosses it at right angles (90°).
Animation

WHAT IS THE POINT OF GEOMETRY?

To find out what geometry is watch the following video: