For now, either the line segment or angles are acceptable answers for this problem.Īlright let’s go ahead and try the next example. We can also argue that the union of these two rays also forms an angle in this case we form a straight angle specifically angle AEC or angle CEA with the vertex located at point E, straight angles will be discussed more fully in a later post. This new set will form a line which can be denoted as line AC or line CA. Since we are asked to find the union of these two set of points we essentially want to unite or merge all the points from both rays forming a new set. For this example we are referring to ray EC which is the set of all points located here even the points that extend infinitely in this direction, in the same manner the set of all points of ray EA are located here again even the points that extend infinitely in this direction. In this problem they are asking us to find the union of ray EC and ray EA, notice that the diagram does not contain any arrows, never the less we can either imagine or add arrows in the diagram when needed. So the intersection of line segment AD and DC is the set containing only point D. Since we are trying to find the intersection of these two set of points we see that both lines contain one point in common in this case point D. If we think of line segment AD as the set of all points that forms this line we would obtain the following points, in the same manner the set of all points that form line segment DC will consist of the following points. In this first problem they are asking us to find the intersection of line segment AD and DC.

For example you can think of a line as the set of all points that extend infinitely in both directions, a segment is the set of all points that starts at one point and ends at another point, and a ray is the set of all points that starts at one point and extends infinity in one direction.Īlright with that said lets go ahead start with the first example

It is important to understand that, when we are dealing with lines, segments or rays, a set will consist of all the points that a particular line, line segment or ray is composed of. The symbol for the intersection of two sets is an upside down U. Recall that the symbol for denoting the union of two sets is this u shape symbol it is essentially a U for union. In this post we are going to use the following figure to find the union and intersection of various lines, line segments, and rays. Introduction to Geometry (Level 6) | Sets, Union, Intersection II

Ray cd geometry