basic math

It is already mentioned in earlier classes that compound statements of different propositions can be obtained by conjunction, disjunction and negation of propositions. We just recall these three basic logical connectivities and their truth table and subsequently we shall learn about condi..

Question: Prove mid-point theorem from converse of Basic Proportionality Theorem. [2 Mark] Answer: Given: D and E are the mid-points of AB and AC respectively of a triangle ABC. To prove: DE||BC Proof: .... (1) (Since D is the mid-point of AB, AD = DB) From (1) and ..

A statement whose validity is accepted without proof is called a postulate. In addition to point, line plane etc, it is also necessary to start with certain other basic statements that are accepted without proof. In geometry these are called postulates. A postulate, though itself is an u..

The graphical method of solving an LPP is possible only if there are two decision variables (say x and y). This method is not suitable if there are three or more decision variables. In this case, there is a powerful method called 'simplex method'. The wide usage of liner programming helps in ..

Degree/radian measures Basic trigonometric functions Special right triangles Trigonometric values of standard angles Justify the Pythagorean identities Trigonometric equations (0 to 360 degrees..

Question: If in a D ABC, DE||BC as shown in the figure. [3 Mark] Show that i. ii. Answer: If DE||BC (given) ... (1) (by basic proportionality theorem) Adding 1 on both sides,..

Transformations on a coordinate plane Points on a coordinate plane Pythagorean Theorem Geometric concepts, triangle inequality theorem Tessellations Graph/slope of lines Graphing linear/non-linear equations Geometric proofs Properties of geometric figures Angles, parallel lines, transver..

Midpoint Theorem The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third side. Converse of mid point theorem - The straight line drawn through the mid point of one side of a triangle, parallel to another, bisects the third side. The Inte..

Summary - Midpoint Theorem The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third side. Converse of mid point theorem - The straight line drawn through the mid point of one side of a triangle, parallel to another, bisects the third side. The I..

Definitions, postulates, reasoning, theorems Euclidean/non-Euclidean geometries Coordinate, transformational, axiomatic systems Conditional statements Properties of geometric figures Inductive/deductive reasoning Tessellations Pythagorean Theorem Coordinate systems Measurements of geome..