Geometry is full of different figures and designs. If you understand geometry then it is one of the interesting math answers for the problems. In geometry we have basic geometric shapes like circle, triangle, square, rectangle, rhombus, parallelogram, etc. geometry doesn’t end. Here we also have many other advanced level of construction, since analytical geometry problems deals with shapes, its constructions and properties. Each and every geometric shape has its own well defined set of properties. Every construction of geometry problems involve some steps that has to be followed. In this article, we will focus on the very first geometrical topic of Grade V in which you will learn the basic geometrical shapes constructions like line, circle, etc.
Now, let’s see the construction of the triangle. Before moving to its construction let’s answer a question that what do you understand by triangle. A triangle is a closed three sided plane figure. You can easily construct a triangle with the help of ruler, compass and protractor. Since a triangle has three sides, so it also has three angles. to understand the geometry problems related to construction let's see few examples.
Example: Construct a triangle ABC in which AB = c units, BC = a units, CA = b units.
You can also take any mathematical units in place of variable a, b and c.
Steps for basic geometric construction of triangle are:
We are going to draw a triangle with sides a, b and c
1) Draw the line AB = c units with the help of a ruler.
2) Take a compass and measure b units using ruler.
3) With A as center, cut an arc above the line segment AB using compass.
4) Take a compass and measure ‘a’ units.
5) With B as center cut an arc above the line segment AB.
6) Both the arcs cut at a point, say C.
7) Join AC and BC. Now, ABC is the required triangle.
Example: construct atriangle with sides 5,5 and 5.
Construction:
There are several different types of triangles and you can easily construct them without facing any difficulty. If you know construction of one triangle then other can also be constructed.
My dear friends if you love dealing with shapes then no one can beat you in this game of shapes. With a bit concentration and efforts you can become master of the geometry.
In next post we will talk on Parallelism in Grade V. For more information on syllabus of economics for ICSE class 12, you can visit our website
Let's first see the construction of line: Line is a basic construction of all figures in geometry. To construct many figures in geometry we join two or more lines. In order to construct line use a ruler. Ruler is a rectangular object helps to measure the length of line in centimeter. Keep the ruler on the paper and move the pencil adjacent to the ruler on the longer side, our line is ready. Here is a diagram of line:
A---------------------BNow, let’s see the construction of the triangle. Before moving to its construction let’s answer a question that what do you understand by triangle. A triangle is a closed three sided plane figure. You can easily construct a triangle with the help of ruler, compass and protractor. Since a triangle has three sides, so it also has three angles. to understand the geometry problems related to construction let's see few examples.
Example: Construct a triangle ABC in which AB = c units, BC = a units, CA = b units.
You can also take any mathematical units in place of variable a, b and c.
Steps for basic geometric construction of triangle are:
We are going to draw a triangle with sides a, b and c
1) Draw the line AB = c units with the help of a ruler.
2) Take a compass and measure b units using ruler.
3) With A as center, cut an arc above the line segment AB using compass.
4) Take a compass and measure ‘a’ units.
5) With B as center cut an arc above the line segment AB.
6) Both the arcs cut at a point, say C.
7) Join AC and BC. Now, ABC is the required triangle.
Example: construct atriangle with sides 5,5 and 5.
Construction:
There are several different types of triangles and you can easily construct them without facing any difficulty. If you know construction of one triangle then other can also be constructed.
My dear friends if you love dealing with shapes then no one can beat you in this game of shapes. With a bit concentration and efforts you can become master of the geometry.
In next post we will talk on Parallelism in Grade V. For more information on syllabus of economics for ICSE class 12, you can visit our website
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