Types of trapezoids

The trapezoid is a quadrilateral polygon, which has two opposite parallel sides and two non-parallel opposite sides. The parallel sides are the biggest and smallest bases. There are three types of trapezoids: rectangle, isosceles and scalene. Below you can learn more about each of these types of trapezoids.

• Rectangle trapezoid

 

The rectangle trapezoid is a trapezoid in which a side is perpendicular to both bases. 

• Isosceles trapezoid

The isosceles trapezoid is a trapezoid in which the opposite two parallel sides are not equal. 

• Scalene trapezoid

The scalene trapezoid is a trapezoid in which all sides have different measures. 

Calculate the area of ​​a triangle

Area is the surface that a given figure occupies. Before we show you how to calculate the area of ​​a triangle, observe the following situation: 

Through this practice activity, one comes to the conclusion that if we divide a parallelogram by its diagonal, we get two equal triangles. Thus, we can say that the area of each triangle will be equal to half the area of the parallelogram. If the area of the parallelogram is equal to the product of its base by its height, then the area of a triangle equals half the product of its base by its height. 

To calculate the area of ​​a triangle simply apply the following formula:

Area of the square and rectangle

Area  is the surface that a given figure occupies. To calculate the area of the square and the rectangle, you must measure the length and width of the figure. Since the square has all equal sides, in this case it is considered the measure of the side. To calculate the area of the ​​square and rectangle just apply the following formulas: 

• Area of the square 

 

A = side x side = s x s

• Area of ​​the rectangle 

A = length x width = l x w

Tangram puzzles - with solutions

The tangram is a very ancient Chinese game, where through 7 geometric pieces, which forms a square, you can make a huge number of figures. You can find Tangram puzzles to solve, with the image in black, and the respective resolution below.

If you do not have a tangram, you can make one at home. To learn how to make a tangram, click here. 

Tangram puzzles - with solutions

Below you can find the solutions for this tangram puzzles.

How to make a tangram

The tangram is a mathematical game much used in the classroom, but also as simple fun. In this game you can develop your skills of logic, geometry and creativity. Tangram is simply a square divided into 7 geometric pieces with which you can get thousands of different images. Its origin is uncertain, but is thought to have been invented in China. Here you can learn how to make a tangram.

The tangrams can be acquired, existing in various materials, such as wood or plastic. But if you do not want to buy, you can make a tangram in your house. Here you'll learn how to make a tangram. 

How to make a tangram 

To make one tangram you gonna need paper (preferably thick, to be more resistant), scissors, pencil, ruler and eraser. Below you can learn how to make a tangram, step by step.

How to construct a bisector of an angle

In this article, in order to help you stdy maths, we will explain what is a bisector and how to construct the bisector of and angle.

To understand what is a bisector, first of all is necessary to understand what is an angle. An angle is the area bounded by two rays with the same origin. Thus, it is an angle formed by two sides (rays) and an vertex (the point of origin of the rays).

The bisector is a ray with the same origin as the angle, which divides the space into two equal spaces. Thus, if the angle have a amplitude of 40°, the angle bisector will divide this into two angles with an amplitude of 20.

Below you can find a video on how to construct the bisector of an angle.

How to construct perpendicular lines

As we saw in the article "Parallel, intersecting and coincident lines", perpendicular lines are straight lines that instersect and form a angle of 90º. Below you can see how to construct perpendicular lines with a ruler and a compass.

In this example of a construction of perpendicular lines, you'll need a ruler and a compass.

We hope that this article was helpfull to you study maths.

How to construct parallel lines

As we saw in the article "Parallel, intersecting and coincident lines", parallel lines are straight lines that never meet. Below you can see two ways how to construct parallel lines.

In the first example of a construction of parallel lines, you'll need a ruler and a set square.

In the second example of a construction of parallel lines, you'll need a ruler and a compass.

We hope that this article was helpfull to you study maths.

Parallel, intersecting and coincident lines

A straight line doesn't have a beginning or an ending, and is formed by an infinite number of points all lined up. If we draw two lines (or representations of these lines), we have three possibilities: either never touch, or intersect once, or coincide at all points. Below you can learn what is the relation between two lines, so you can study maths more easily,  

Parallel lines 

Two parallel lines are two straight lines that never intersect. 

Intersecting lines 

Two lines are said to be competing when they intersect at a point. That way we can have oblique or perpendicular lines, depending on the width degrees formed. If the angle is 90º, then these lines are said to be perpendicular. If the angle isn't 90º, then these lines are said to be oblique. 

Coincident lines

Two lines are said to be coincident if they coincide at all points.