If the two ends of a line meet, the line must be a curved line, and it gives rise to a closed shape with curved perimeter. A line can be of finite length or you can imagine each end of a line to extend indefinitely. Ends of a line and closed shapes:Ī line, straight or curved has two ends unless these two ends meet. Following these points you reach from one end of a line to the other. Points make a line:Ī line consists of infinite number of points one after the other. The shortest line connecting two points is a straight line.Īll other lines connecting two points are curved lines and length of those lines are more than the straight line connecting the same two points. You connect two points by many lines, in fact by infinite number of lines. Lines are of two types: Straight line and curved line: When you connect two points you get a line. So, the definition of a point that it is dimensionless is an ideal one and is called an Axiom. In real world, however small a point you draw on a piece of paper it would still have a dimension. We will mainly discuss here pure geometry but occasionally use the two axes for clarity. In other words, not always you need co-ordinate geometry. On a piece of paper or on a plane you are at liberty to place the origin at any convenient location and define all other points on the plane with reference to this origin.īut not always you need the reference point to study the properties of shapes. It is called the origin and has the co-ordinates $(0,0)$. The reference point in this case is the intersecting point of the two axes. In co-ordinate plane geometry you use two perpendicularly intersecting axes $x$ and $y$ and define the location of any point with reference to the shortest distance of the point from the $x$ axis and the $y$ axis as a pair of values $(x, y)$. It just is a location identified by parameters relative to a reference point. A point has no length, breadth, or height. Point:Ī point in space (3D or 2D) is defined as a unique location without any dimension. It just like building a solid object from atomic particles. Any shape is formed by surfaces, any surface is formed by lines, and finally any line is formed by points. To form a shape you need building blocks. Ten selected test level exercise questions on Geometry basics points lines and triangles with answer.Triangles: Basic concepts on triangles, External angle of a triangle, Types of triangles, Pythagoras theorem, Isosceles and equilateral triangles, Right-angled triangles, Similarity and Congruency of triangles, Conditions for similarity and Congruency, Triangle medians and angle bisectors, Incentre, Orthocentre and Centroid of a triangle.Points and lines: Straight line and curved line, Closed shape, Parallel lines, Distance between two lines, angle between two lines, laws of intersection, line intersecting a pair of parallel lines,.Geometry basics, points lines and triangles: Straight lines, parallel lines, angles, triangles, properties of triangles with examples and exercise. Concepts on Geometry basics points lines and triangles with examples and exercise
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