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 →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 →Rhombus – Definition – Properties Definition: A rhombus is a quadrilateral (closed shape, plane figure) with four straight sides that are equal length also opposite sides are parallel and opposite angles are equal. A rhombuses is a type of parallelogram. All rhombuses are parallelograms, but not all parallelograms are rhombuses. All squares are rhombuses, but not all […]
Read More →Concave Polygons: Definition – Examples & Properties All polygons is either convex or concave. A polygon will be convex or concave, it depends on the measure of their angles. What is a Concave Polygon? A concave polygon have at least four sides, and concave polygon is just opposite of a convex polygon. If the measures […]
Read More →Diagonals of Polygon’s In geometry, a line segment joining two vertices of a polygon or polyhedron, when those vertices are not adjacent is known as Diagonal. Diagonals of Polygon’s A polygon’s diagonal’s are line segments, that joining from one corner to another corner. Formula for number of diagonals = n(n-3)/2 where n is number of sides or […]
Read More →Definition, Properties, Examples – Cyclic Quadrilaterals What is a Cyclic Quadrilateral A cyclic quadrilateral is a four sided polygon that is inscribed in a circle. The vertices are said concyclic. The center of the circle is called circumcenter and radius of the circle is called circumradius. Definition: A Cyclic Quadrilateral is a quadrilateral, whose all four vertices […]
Read More →Parallelograms on the same base and between the same parallels are equal in area. Given: Two parallelograms ABCD and EFCD, are on the same base DC and between the same parallel lines AF and DC. To prove: area (∥gm ABCD) = area (∥gm EFCD) Proof: In △ AED and △ BFC BC ∥ AD and AF is a transversal.So, ∠DAE = ∠CBF …..(1) (Corresponding angles of […]
Read More →If each pair of opposite sides of a quadrilateral is equal, then it is a parallelogram. Given: ABCD is a quadrilateral, each pair of opposite sides of quadrilateral ABCD are AB and CD and also sides AD and BC are equal. AB = CD BC = AD To prove: ABCD is a parallelogram. Construction: Join A to C that is AC, is […]
Read More →Quadrilateral – Definition – Properties There are kinds of quadrilaterals, based on the sides and angles. 1. Parallelogram 2 Rectangle 3. Square 4. Rhombus 5. Trapezium 6. kite 1. Parallelogram A Parallelogram is a quadrilateral, whose both pairs of opposite sides are parallel and equal in length. In above […]
Read More →Quadrilaterals – Definition – Properties The word “quadrilateral” has two Latin words quadri, a variant of four and latus meaning is “side”. What is a quadrilateral A quadrilateral is a polygon, with four edges or sides and four vertex or corners. Just like as a triangle is 3 sides polygon, […]
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