Theorem : In a parallelogram, opposite angles are equal. Given: A parallelogram ABCD, opposite sides of parallelogram are side AB and side DC side AD and side BC. To prove: Opposite angles of parallelogram are equal. […]
Read More →Four Quadrants on a Graph We know that the two axes X and Y divided the plane into four sections. These four sections are called the Quadrants (one fourth section). The plane is called Cartesian plane or Coordinate plane or the XY plane. The plural of axis is axes. The quadrants are labelled with Roman numbers […]
Read More →Theorem – Alternate Interior Angles are Equal If a transversal intersects two parallel lines, then each pair of alternate interior angles are equal. Given: Two parallel Lines AB and CD, and PS be transversal intersecting AB at Q and CD at R. To Prove: Each pair of alternate interior angles are equal. i.e. ∠BQR = ∠CRQ and ∠AQR = ∠QRD […]
Read More →Perimeter of shapes Definition: The distance that surrounds a two dimensional shape is known as “Perimeter.” Simply, we can say that ‘The Perimeter is the length of the outline of a shape. In the below figure if we start measure from the point A and move along the line segments and reach again the point A.We have […]
Read More →Use of Coordinate Geometry Coordinate Geometry is uses in many field of our real life. Coordinate Geometry is used in the field, of economics, bio science, chemistry, weather, forecasting, architecture, aerospace, air navigation, etc. Coordinate Geometry used in many professions, it can be used by computer programmers, for printing pdf files. It used in real […]
Read More →History of Coordinate Geometry The Cartesian system or the rectangular coordinate system was invented in seventeenth century by Rene Descartes, the great French philosopher and mathematician. The coordinate system is also called the Cartesian system. Geometry was well developed to describe the dimension of an object, but it does not describe the position of an object. So, to […]
Read More →SSS, SAS, ASA, AAS and RHS – Congruence of Triangles In geometry we see that, if two line segments are are same in length, they are congruent, and if two angles are same in measure they are also congruent,.Simply, we can say congruent means an object and its mirror image. Congruence Triangles A triangle is a polygon with […]
Read More →Perpendicular Lines Definition: Perpendicular Lines A line intersect another line and the angle between them is a right angle or 900 then the lines are said to be “Perpendicular.” If a line AB perpendicular to CD, we write asAB ⊥ CD. Perpendicular denoted by “⊥” If one of the angles formed by the intersection of two lines or line segments […]
Read More →Theorem The perpendicular from the center of a circle to a chord bisects the chord. Given: A circle with center O, AB is chord of a circle and OC perpendicular from the center to the chord AB. i.e. OC ⊥ AB therefore ∠OCA and ∠OCB Both angles are 900. To prove: AC = CB (C is the mid point of chord AB) […]
Read More →What is Ordinate Ordinate is the value of the Y coordinate on a coordinate plane. or Ordinate is the value of the Y axis on a coordinate plane. In a coordinate plane, the Ordinate is the Y coordinate of a point. The Vertical line is called the Y axis. The distance of a point from the X axis is called its Y coordinate or Ordinate. The Ordinate always comes […]
Read More →