Lines Angles and Triangles Introduction
Introduction - The word 'geometry' is derived from the Greek words 'geo' meaning 'earth' and 'metron', meaning 'measuring'. Geometry originated when man felt the need to measure his land. Ancient Egyptians were perhaps the first people to study ..
Introduction
We are familiar with plane figures bounded by straight line segments as sides. They are known as Polygons . Polygon is a word of Greek origin. It means figure with many angles implying many sides. Squares, rectangles and other four-sided geometric figures formed by the union of four line ..
Locus of points equidistant from two given points
Mark two points M and N, 6 cm apart. Locate points P 1 and P 2 on either side of AB such that P 1 M=P 1 N=3.5 cm Locate points Q 1 and Q 2 such that Q 1 M = Q 2 M = 4.5 cm Observe the pattern of geometric figure formed. The geometric figure formed seems to be a line. Join all these points. You get ..
Mark two points M and N, 6 cm apart. Locate points P 1 and P 2 on either side of AB such that P 1 M=P 1 N=3.5 cm Locate points Q 1 and Q 2 such that Q 1 M = Q 2 M = 4.5 cm Observe the pattern of geometric figure formed. The geometric figure formed seems to be a line. Join all these points. You get ..Definition
When two straight lines meet at a point they form an angle. The point at which the arms meet (O) is known as the vertex of the angle. The amount of turning from one arm (OA) to other (OB) is called the measure of the angle ( AOB) and written as m AOB. An angle is measured in degrees,..
When two straight lines meet at a point they form an angle. The point at which the arms meet (O) is known as the vertex of the angle. The amount of turning from one arm (OA) to other (OB) is called the measure of the angle ( AOB) and written as m AOB. An angle is measured in degrees,..Definition:
"The point of concurrency of the angle bisectors of the angles of triangle, is called the incentre". It is abbreviated as 'I'. To determine the incentre of a triangle, it is just sufficient to find the point of intersection of its two angles. The third angle bisector is bound to pass through it by ..
Some Important Definitions
Median - In a triangle, a line joining the midpoint of a side to the opposite vertex is called a median. AD is a median of ABC. In any triangle, it can be proved that all the three medians meet at a point. The point where the three medians meet is called the Centroid of the triangle. The point G is..
Median - In a triangle, a line joining the midpoint of a side to the opposite vertex is called a median. AD is a median of ABC. In any triangle, it can be proved that all the three medians meet at a point. The point where the three medians meet is called the Centroid of the triangle. The point G is..Fundamental problems of Analytical Geometry
a) Given an equation, to find the corresponding locus. b) Given a locus under some geometrical condition to determine the corresponding equation. The following properties of the curve will be very helpful in determining the full form of locus equation. i) Intercept: The intercept of a curve are th..
a) Given an equation, to find the corresponding locus. b) Given a locus under some geometrical condition to determine the corresponding equation. The following properties of the curve will be very helpful in determining the full form of locus equation. i) Intercept: The intercept of a curve are th..Geometry constructions - Lines, Angles, Triangles
Introduction - Geometry originated when man felt the need to measure his land. Ancient Egyptians were perhaps the first people to study geometry. Later, the Babylonians studied in a systematic wa..
Result
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