A point is a geometric object that cannot be constructed using simpler objects. Meaning, it is an undefined term, as opposed to a defined term. Instead, it has to be described using its characteristics. One possible description is that a point is an object with no size, indicating a location in space. It is represented graphically with a dot.
A line, just like a point, is an undefined term. It is a one-dimensional object of infinite length with no width or height that never bends or turns. Its graphical representation is a straight line with arrowheads on either end, indicating that it continues indefinitely in both directions.
The line segment or segment , consists of the endpoints and and every point on line located between and Notice that, a segment, unlike a line, does not extend infinitely — it is bound by its endpoints.
ConstructionCopying a Segment
Using a straightedge and a compass, it is possible to construct a copy of a segment. To do this, start by drawing a segment longer than the original with the straightedge.
To make the segments the same length, measure the original with a compass. Place the needle point on one endpoint, then, place the pencil at the other end.
The compass is now set to the correct length. After moving the compass to the new segment, mark where the end should be with the pencil.
This mark shows where to place the endpoint of the new segment. Placing the endpoint is the final step to copying the segment.
A plane is similar in its definition to a line, though it is two-dimensional. That is, it has an infinite width and length, but no height. It is represented by what could be seen as a floor or a wall, extending without end.
A ray is a portion of a line, starting at an endpoint and extending indefinitely. The notation for a ray starts with the endpoint and another point on the ray, with an arrow drawn above it. For example, the ray below would be represented by:
Name the objects
Give another name for ray line and plane
The ray is the ray with endpoint that passes through continuing infinitely.
This ray can also be named as is indicated by the diagram. Continuing with line we can see that it passes through the points and
Therefore, we can name the line As is a plane, it can be named using three points in the plane that do not lie on the same line. There are three such points in this case, and
Thus, the plane can be named
Sketch the diagram
Sketch a diagram where plane and plane intersect along
Let's start by sketching the plane in any orientation we prefer.
Next, we can sketch the plane so that and intersect along a line. By letting have some other orientation than we'll accomplish this. Instead of having it lying down like a floor, we can draw as a wall.
These two planes now intersect along a line. For this line to have the name as desired, the points and must lie on the line. Let's draw these.
We have now finished the sketch.