Geometria - Paralelogramas, Retângulos, Triângulos, Trapézios e Hexágonos

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Como podemos definir um retângulo?

Um quadrilátero com quatro ângulos retos.

O que caracteriza um losango?

Dois pares de lados paralelos e iguais.

O que é um paralelogramo?

Um quadrilátero com ambos os pares de lados opostos paralelos.

O que distingue um triângulo equilátero dos outros tipos de triângulos?

Possui três lados de igual comprimento.

O que diferencia um trapézio dos outros quadriláteros mencionados?

Apresenta um par de lados paralelos e um par não paralelo.

Study Notes

Geometry - Parallelograms, Rectangles, Triangles, Trapeziums, and Hexagons

Geometry is one of the oldest branches of mathematics, tracing its roots back to the ancient civilizations of Egypt, Greece, India, China, and Babylon. It deals with points, lines, angles, shapes, and spaces. In this article, we will discuss some basic geometric figures such as parallelograms, rectangles, triangles, trapeziums, and hexagons.

Parallelograms

A parallelogram is a quadrilateral with both pairs of opposite sides parallel and equal in length. The diagonals of a parallelogram bisect each other and the angles opposite each other are congruent. The sum of all interior angles of a parallelogram is 360 degrees.

Rectangles

A rectangle is a parallelogram with four right angles. The opposite sides of a rectangle are parallel and congruent, and the opposite angles are congruent. The diagonals of a rectangle bisect each other, and each diagonal divides the rectangle into two right triangles.

Triangles

A triangle is a polygon with three sides and three angles. There are various types of triangles, such as equilateral, isosceles, and scalene. An equilateral triangle has three sides of equal length, an isosceles triangle has two sides of equal length, and a scalene triangle has no sides of equal length.

Trapeziums

A trapezium is a quadrilateral with one pair of opposite sides parallel. The non-parallel sides are called the bases, and the parallel sides are called the legs. The sum of the lengths of all four sides of a trapezium is equal to the sum of the lengths of the diagonals.

Hexagons

A hexagon is a polygon with six sides and six angles. The sum of all interior angles of a regular hexagon is 720 degrees. A regular hexagon has all sides and angles congruent.

In conclusion, geometry is a rich field of mathematics that studies various shapes and their properties. The figures discussed in this article, including parallelograms, rectangles, triangles, trapeziums, and hexagons, are fundamental to understanding the principles of geometry.

Este artigo explora figuras geométricas básicas, como paralelogramas, retângulos, triângulos, trapézios e hexágonos. Discute propriedades, características e fórmulas associadas a essas formas comuns na geometria.

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