Problem 1.3 (Name the Line) Use the appropriate notation to name the following line in five different ways. Problem 1.2 (Name the Plane) Use the appropriate notation to name the following plane in two different ways. The location of San Francisco, California Problem 1.1 (Geometry in Real Life) Give the geometric term(s) that is best modeled by each.Ī. A 4-dimensional space consists of an infinite number of 3-dimensional spaces. We then refer to "normal" space as 3-dimensional space. Mathematics can extend space beyond the three dimensions of length, width, and height. It extends indefinitely in all directions. Space is made up of all possible planes, lines, and points. In more obvious language, a plane is a flat surface that extends indefinitely in its two dimensions, length and width. All possible lines that pass through the third point and any point in the line make up a plane. A line exists in one dimension, and we specify a line with two points. The point of the end of two rays is called the vertex.Ī point exists in zero dimensions. Note that a line segment has two end-points, a ray one, and a line none.Īn angle can be formed when two rays meet at a common point. That point is called the end-point of the ray. A ray extends indefinitely in one direction, but ends at a single point in the other direction. We construct a ray similarly to the way we constructed a line, but we extend the line segment beyond only one of the original two points. On the other hand, an unlimited number of lines pass through any single point. For any two points, only one line passes through both points. You may specify a line by specifying any two points within the line. Like the line segments that constitute it, it has no width or height. Its length, having no limit, is infinite. A line extends indefinitely in a single dimension. The set of all possible line segments findable in this way constitutes a line. In this way we extend the original line segment indefinitely. Starting with the corresponding line segment, we find other line segments that share at least two points with the original line segment. Hence there are total 6 points of intersections.As for a line segment, we specify a line with two endpoints. The points at which any of these lines are intersecting are: \(\text\) Tom is picking the points of intersection of the lines given in the figure below, he observed that there are 5 points of intersection. Option C is an example of perpendicular lines. Option B is a pair of non-parallel lines or intersection lines. \(\therefore\) Options A and D are correct.įind the correct types of lines from the figure given below. Option C is a circle hance it is made up of only curved parts. Option B is made up of 3 line segments and a curved part. Help him to pick out the correct figures from the following. Sam wants to find out the figures which are made up of line segments only. While line segments have both fixed ends, they are represented in our day-to-day lives with examples such as the edge of a table or some wire or pole. Then Tick () the Correct Option and Cross Out. While rays have a fixed beginning and no definite end, they are represented in our day-to-day lives with examples such as the sunlight or the light of a torch.Ī segment is a part of a line that has a fixed length or we can say that both the ends of a segment are fixed. Segments, sometimes also referred to as line segments. (1) in Each Question, Identify if the Entire Dotted Part of Each Figure is a Line, Ray, or Line Segment. While lines have no definite beginning or end, they are represented in our day-to-day lives with examples such as railway tracks or the freeway.Ī ray is a part of a line that has only one fixed point and the other point does not have any end. A line is a figure formed when two points are connected with minimum distance between them, and both the ends extended to infinity.
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