Quadrilaterals are an essential element of the mathematics curriculum in schools, colleges, and even universities. When tackling similar problems, though, most students question themselves, “What a quadrilateral is?” Sadly, this results in students providing incorrect arithmetic answers, leading to a poor grades. Complete comprehension of arithmetic principles is required to answer geometrical problems with ease.

Therefore, a thorough guide to quadrilaterals is provided in this blog for your convenience. Continue reading to learn more.

Quadrilateral: Definition

A quadrilateral is a crucial geometrical topic for pupils to grasp while studying geometry. Whenever four points on a plane are connected, it forms a closed shape. It’s vital to remember that just 3 points are non-collinear.

In Latin, quadrilateral refers to a shape with four sides. Quadra denotes four, and lateral denotes the presence of sides.

As a result, a quadrilateral is a four-sided polygon. Quadrilaterals are used in planar geometry to calculate the angles and edges of a polygon or surface. Quadrilaterals come in a variety of shapes, which are explained further below.

Let’s look at some of the most famous attributes of this polygon.

Quadrilateral Properties

Quadrilaterals, like every other geometrical structure, have characteristics. They are as follows:

1. There are four sides or edges to a quadrilateral.
2. Have four corners or vertices.
3. The entire inside angles sum up to 360 degrees.

It’s worth noting that, while these are the basic attributes of quadrilaterals, other varieties of quadrilaterals have extra characteristics. Let’s have a look at the several kinds of quadrilaterals that exist.

Quadrilaterals of Different Types

There are a variety of quadrilaterals available, including:

Square

A square comprises four equilateral sides, each with a 90-degree angle. A square’s opposite sides are also parallel to each other. It also contains two diagonals that are of the same length. The diagonals from 90 degrees and cut each other in half at right angles.

Rectangle

A rectangle is a quadrilateral with 2 pairs of equal and parallel sides. They also feature 90-degree angles on all sides. It also features two equal diagonals that meet at right angles and intersect in half.

Trapezium

A trapezium has two opposites that are perpendicular to each other. Furthermore, they may have a variety of angles that sum up to 360 degrees.

Rhombus

A rhombus has four sides, all of which have the same length. Opposite sides, on the other hand, are parallel, and opposite angles are equal. Therefore, a rhombus diagonal also intersects at 90 degrees or right angles.

Kite

A kite has two pairs of each side, each of which comprises two equal-length sides. The angle formed by the intersecting lines of the two pairs is always 90 degrees. A kite’s diagonal split the other one in two.

Parallelogram

A parallelogram is a quadrilateral with two pairs of opposing sides parallel to one another. They have opposing sides of the same length, and they have opposite angles that are likewise equal.

Complex quadrilaterals are a form of quadrilateral that is distinct from the others. Two sides of this type of quadrilateral cross or intersect one another. They do, however, have four edges with two intersecting lines.

Common Quadrilaterals Problems

You’ll need to know the area and perimeter of most shapes while dealing with quadrilaterals for geometry. You’ll also come across puzzles that need you to compute quadrilateral angles. Therefore, you must learn and comprehend the several equations that regulate the operation of quadrilaterals.

Higher education will need you to tackle complex quadrilateral issues requiring you to determine the lengths of sides and areas of figures.

Here are a few quadrilateral examples to help you see the types of challenges you’ll encounter with this topic.

Examples of quadrilateral questions

• Except for one, the values of different angles are provided. Next, you’ll need to figure out the final angle’s value.
• Another quadrilateral problem is the length of the figure’s sides is provided. You’ll need to compute the area and perimeter of the shape with it.
• The length of diagonals is presented as values. You’ll need to figure out the whole area.

Lastly,

Quadrilaterals are an essential element of the geometry curriculum in colleges and universities. Therefore, you should memorise the many formulas that exist to handle any quadrilateral problem. If you ever have a problem comprehending quadrilaterals, this article can be your go-to resource.

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