A parallelogram is a two-dimensional rhomboid or quadrilateral with four sides. The four sides, or edges, consist of two pairs, each with the opposite side parallel and congruent. The two pairs of consecutive angles, or vertices, in a parallelogram are supplementary, which means that the sum of the angles in each consecutive pair is 180 degrees.
Know MoreThe perimeter of a parallelogram is obtained through the formula 2(a + b), in which "a" and "b" represent the lengths of the opposite and congruent sides. The area of a parallelogram is determined by multiplying the length of its base by its height, the same formula which is used for a finding the area of a rectangle. This is because a parallelogram can be rearranged into a rectangle by dividing it into a right triangle and a trapezoid and then moving the right triangle over to the other side.
Most of the theorems governing parallelograms are from Euclidean geometry and date back to more than 2,000 years ago. Euclid of Alexandria's major work, "Elements," contains the text of what was used as the standard basis of first-year geometry. Euclid's geometry theorems serve as fundamental exercises in mathematical deduction and were studied by individuals such as Abraham Lincoln as a means of heightening their overall powers of reasoning.
Learn more about ShapesA parallelogram that does not have any 90-degree angles, or right angles, has two opposite acute angles. The other opposite pair of equivalent angles is known as obtuse, and the angles are above 90 degrees.
Full Answer >Based on the geometric definition of a polygon, a circle has no sides or infinite sides. According to the definition, a circle cannot have sides because it isn't made up of line segments that are connected by shared endpoints that form interior angles.
Full Answer >An n-gon is a polygon with "n" sides, where "n" is a placeholder for any number. The letter "n" is commonly used alongside other letters in mathematics and science as variables to represent unknown numbers.
Full Answer >A square is a parallelogram, but not every parallelogram is a square. A square meets all of the requirements to be a parallelogram, but it has additional properties that make it a square.
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