![]() ![]() Q 4 Why do we say that parallel lines meet at infinity?Īns: They only seem to meet, in reality, they do not. Q 3 Differentiate between parallel lines and intersecting lines.Īns: Parallel lines do not intersect and intersecting lines intersect at certain points and have one point in common. (b) Collinear points do not lie on the same row (a) A point has length, breadth, and width Q 1 Name the undefined terms of geometry. Coplanar points are the points that lie on the same plane. Define a straight line and what are coplanar points?Īns: A straight line is formed by joining two points on a plane, it has length but no width. Although they seem to be intersecting at infinity it is only a curious way to say that they do not intersect at any point.Īns: A plane is a flat, two-dimensional surface that consists of all the points that form a straight line by joining each other. Points D and E are not collinear because they do not lie on the same line.Īns: Parallel lines are coplanar lines. Sol: Collinear points are A, B, and C as they all lie on the same straight line. It is because of that feeling that the train tracks are getting closer, but it is not true, besides, infinity is not a point, so saying that they touch at infinity is a curious way of saying that they never touch. Parallel lines are in the same plane and maintain a certain distance from each other, but they never cross or touch at any point.Īn example of parallel lines would be train tracks, even though they seem to touch in the distance. Types of Straight Lines According to the Position Between themġ. They are considered non-collinear points if any one of the points among them is not on the same line. Non-collinear points are three or more points that do not all lie on the same straight line. ![]() They must lie on the same straight line, even if they don't have to be coplanar. These kinds of lines have two points in common. Points that are on the same straight line are referred to as collinear points. It is two-dimensional (length and width). The surface on which points and lines can be drawn is called a plane. It has one dimension (it has length, but no width). We will consider space as a set of points and then, we will be able to give an idea of what a point, line, and plane are:Ī point is the smallest object in space, it has no dimension (neither length nor width). They are considered "primitive concepts" and are the basis of Geometry. The point, line, and plane are basic geometrical ideas and are not defined. These basic geometrical ideas are defined below. These words themselves are so basic that they are considered true without formally defining them. They serve as the cornerstones for establishing other terms and theorems. These three things are called undefined terms because in geometry they do not require a formal definition. Surprisingly, there are three undefined terms of geometry. Fortunately, we have innate ideas about these concepts. To begin the study of geometry, it is necessary to know the most basic concept of geometry. ![]()
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