Question

define quadrilaterals and special types of quadrilaterals with properties
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Answer 1

Answer:

A quadrilateral is a polygon with four edges (or sides) and four vertices or corners. ... The word "quadrilateral" is derived from the Latin words quadri, a variant of four, and latus, meaning "side".

Internal angle (degrees): 90° (for square and rectangle)

Edges and vertices: 4

Types of Quadrilaterals

The various types of quadrilaterals are

1. Parallelogram

As the name suggests, a parallelogram is a quadrilateral with parallel opposite sides. In a parallelogram all the opposite sides are equal and the angles made by each opposite side is also equal.

2. Rectangle

The Rectangle is also a type of parallelogram with a little difference in the angles of the sides. In a rectangle, all the sides are at the right angle or to say perpendicular to each other. The figure below shows a quadrilateral ABCD and since all its sides are parallel to each other we may also call it a type of parallelogram with line segments placed at right angle to each other.

3. Square

A square is a quadrilateral with all four sides equal. Every vertex of a square makes a right angle with its sides.

4. Rhombus

A rhombus is also a parallelogram but with all sides equal. In other words, a parallelogram that shows e resemblance to a square as regards its lengths of sides is called a rhombus. These are sometimes referred to as Diamonds also. Rhombus shows a very peculiar feature regarding their diagonals. The diagonals in a rhombus meet exactly in the middle at a right angle and are said to bisect with each other.

5. Trapezium

Amongst the other types of quadrilaterals, a trapezium shows different characteristics, In a trapezium, only one pair of the four sides are parallel to each other. In a trapezium, all the sides may not be equal in measurement but one of the pairs of sides has to be parallel to each other.

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Answer 2

Answer:

Step-by-step explanation:

Definition of Quadrilateral -

• A quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices).
• The word is gotten from the Latin words Quadri, a variation of four, and latus, signifying "side".
• It is likewise called a tetragon, got from the Greek "tetra" signifying "four" and "gon" signifying "corner" or "point", in relation to different polygons (for example pentagon).
• Since "gon" signifies "point", it is comparably called a quadrangle, or 4-point.

Types of Quadrilateral:

• Parallelogram: a quadrilateral with two sets of equal sides. Identical circumstances are that contrary sides are of an equivalent length; that contrary points are equivalent; or that the diagonals divide one another.
• Rhombus: every one of the four sides is of equivalent length (symmetrical). An identical condition is that the diagonals oppositely cut up one another. Casually: "a pushed-over square" (however rigorously including a square, as well).
• Rectangle: each of the four points is the correct point (equiangular). A comparable condition is that the diagonals cut up one another, and are equivalent long. Square shapes incorporate squares and oblongs.
• Square: each of the four sides is of equivalent length (symmetrical), and every one of the four points is an equal point. A comparable condition is that contrary sides are equal (a square is a parallelogram), and that the diagonals oppositely separate one another and are of equivalent length.
• Kite: two sets of neighbouring sides are of equivalent length. This suggests that one slanting partitions the kite into harmonious triangles, thus the points between the two sets of equivalent sides are equivalent in measure. It likewise infers that the diagonals are opposite.

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