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 →Converse of Pythagorean Theorem In this section we are going to see the converse of Pythagorean theorem. We know the Pythagorean theorem applies to right triangles and states that, The square of the length of the hypotenuse, equals the sum of the squares of the lengths of the other two sides. (hypotenuse)2 = (Base)2+(Perpendicular)2 […]
Read More →Theorem – The line segment joining the mid-points of two sides of a triangle is parallel to the third side. Given: A triangle △ABC, in which D and E are mid points of sides AB and AC respectively. DE is joined. To prove: Line joining the mid points D and E (DE) is parallel to the third line […]
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 […]
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