Perimeter of a Square – Definition – Examples – Formula What is perimeter? Perimeter comes from the Greek words ‘Peri’ meaning surrounding or inclosing of a surface and ‘Meter’ meaning distance. So perimeter means total measurement of boundaries of a surface. Definition: The Perimeter of a square is the distance (total of length) covered by […]

Read More →

Integer – Definition – Examples The term “Integer” originated from Latin. “Integer” means whole. Integers are set of whole numbers and negative numbers. Here, we are discuss about integers in brief. Definition: Example: 3, 4, -6, -357, -4657, 98523, all are integers.  The set of integers is denoted by symbol “Z”. Z = {…..-3, -2, […]

Read More →

Transpose Method – Solve Linear Equations Solve the following equations and check answers: 1. x + 4 = 9 Solution: Given x + 4 = 9 Transposing 4 to right hand side we get, x = 9 – 4 x = 5 Check: Substituting x = 5 in LHS, we get, LHS = x + […]

Read More →

Solve a Linear Equation by Transposition Method First let’s a review what is an equation. In mathematics, an equation is a mathematical expression where two sides of expression are connect to an “equality sign”. In this tutorial we will learn how to solve a linear equation in one variable by transposition method. This method is […]

Read More →

Linear Equations – An Overview A linear equation is an algebraic equation with an equality sign and highest exponent of the variable is 1. Equality sign (=) divides the equation into two sides such as LHS and RHS. In a linear equation highest exponent of the variable is 1. The standard form of a linear […]

Read More →

 Parallelograms – Properties   A parallelogram is a special type of a polygon. it is a quadrilateral with both pair of opposite sides are parallel. Properties 1. Opposite sides are equal.       Opposite sides, AB = CD and AC = BD 2. Opposite angles are equal.      Opposite angles are ∠A = ∠D and ∠B […]

Read More →

Given: Two triangles △ ABC and △ ABD are on same base (or equal bases) AB, and area of △ ABC and △ ABD are equal. Proof: CD ∥ AB Construction: Draw CE and DF perpendicular to AB.So DF is the height of △ ADB, and CE is the height of △ABC. CE perpendicular to AB and DF perpendicular to AB.Since, lines perpendicular to same line […]

Read More →

Two triangles on the same base (or equal bases) and between the same parallels are equal in area. Given: △ ABC and △ PBC are two triangles on same base (or equal bases) BC and between the same parallels, BC and AP. To prove: ar △ ABC = ar △ PBC Construction: Through B, draw BD ∥ CA intersecting PA produced at D, and […]

Read More →

Angle – Definition – Geometry Definition: In plane geometry, angles are formed by two rays or lines called the arms or sides of the angle, sharing a common endpoint, called the vertex of the angle. Angle Symbol An angle is represented by symbol ∠ Angles are measured in degree, which is unit of angle using […]

Read More →

Polygons – Classification We classify polygons to the number of side orvertices based they have. A polygon can be classified by it’s number of a sides and measure of angles. First, we classify by it’s number of a sides.               Classified by measuring the sides The name of a polygon usually […]

Read More →