A diagonal of a parallelogram, divides it into two congruent triangles. Given: A parallelogram ABCD and AC is a diagonal, the diagonal AC divides parallelogram ABCD into two triangles △ ABC and △ CDA. To prove: These triangles △ ABD and △CDA are congruent, △ ABC ≅ △ CDA Proof: In △ ABC and △ CDA BC ∥ AD and AC […]
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 →In a parallelogram opposite sides are equal. Given: A parallelogram ABCD, each pair of Opposite sides of parallelogram are side AB and side DC and side AD and side BC. To prove: Opposite sides of parallelogram are equal that is AB = DC and AD = BC Construction: Join A to C that is AC, is a diagonal, the diagonal AC […]
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, […]
Read More →2D – Shapes – Definition – Properties Here is a detailed explanation of common 2D shapes, including their definitions, examples, diagrams, and properties: Definition: 2D shapes are flat and also known as plane shapes, ‘2D’ stands for 2-dimensional. These shapes can be drawn on paper and have length and width. We can measure length and […]
Read More →2D Shapes – Names and Properties Definition and Properties 2-dimensional shapes have 2 dimensions length and width. Rectangle A rectangle is a 2-dimensional 4 sided polygon. A rectangle have 4 sides, 4 angles and 4 vertices. The total of 4 angles is 360 degree. Square A square is a 2-dimensional 4 sided polygon. A square have 4 sides, 4 angles and 4 vertices. The total of […]
Read More →If the diagonals of a Quadrilateral, bisect each other then that Quadrilateral is a Parallelogram Given: ABCD is a quadrilateral with AC and BD are diagonals and diagonals intersect each other at O. i.e. OA = OC and OB = OD To Prove: ABCD is a parallelogram. Proof: In △AOD and △COB […]
Read More →