Trisha drew a pair of line segments starting from a vertex.
Which of these statements best compares the pair of line segments with the vertex?
Answer
A:Line segments have two endpoints and a vertex is a common endpoint where two line segments meet.
B:Line segments and the vertex have two endpoints each and the distance between the end points is their dimension.
C:The line segments and the vertex have their lines extending in one direction only and the lengths of both are infinite.
D:The line segments and the vertex have length as a dimension of measurement and there are three collinear points on each.
Gotta be A
A: Line segments have two endpoints and a vertex is a common endpoint where two line segments meet.
The best answer to this question is A: Line segments have two endpoints and a vertex is a common endpoint where two line segments meet.
To understand why, let's break down the different statements:
A - This statement accurately describes the relationship between line segments and a vertex. A vertex is a common endpoint where two line segments meet. In a geometric shape, a vertex is formed by the intersection of two or more line segments. Each line segment has two endpoints, and the vertex is the shared endpoint of these line segments.
B - This statement is incorrect. While line segments and vertices do have two endpoints each, the distance between the endpoints is not their dimension. The dimension of a line segment refers to its length, not the distance between endpoints. The dimension of a vertex is not defined in terms of distance.
C - This statement is also incorrect. Line segments do have a direction, but it's not accurate to say that their lines extend in only one direction. Line segments have a specific length and direction, but they do not extend infinitely in one direction. The lengths of line segments are finite, not infinite. Additionally, a vertex does not have a length or direction in the same way that a line segment does.
D - This statement is incorrect. Line segments do have length as a dimension of measurement, but a vertex does not have length. A vertex is a point where line segments intersect, and it does not have collinear points on it. Collinear points are three or more points that lie on the same line, but a vertex is not a line itself.
Therefore, option A is the best answer that accurately compares line segments with a vertex.