Along with arithmetic, geometry is also one of the oldest branches of mathematics which mainly deals with problems related to points, lines, planes, angles, positions, distance, shapes, and curves. Geometry also includes many of the axioms, postulates, and theorems related to triangles, circles, and problems related to two-dimensional shapes and three-dimensional shapes where the students actually need the assistance of an expert geometry tutor to understand the statements of the theorem and construction of the diagrams according to the given statement. To prove the given theorem based on the related properties. Applying the axioms and postulates and any proven statements that are relevant to the particular theorem that needs to be proved.
Top Benefits of Choosing in Geometry Tutor
- Since geometry is one of the oldest branches of mathematics. It contains a lot of prooved theorem statements and properties. Many of the defined axioms, and postulates need to be understood by the students.
- Most of the problems in geometry demand the application of the concepts rather than using the formulas. Here the tutor will make the students understand the idea behind the concept rather than just by hearting them.
- In geometry we can expect the sum of the compulsory questions in the exams like Pythagoras theorem, Bayes theorem, the similarity of triangles theorem, etc. which will help the students to score good marks in the exams.
- In some cases students need to construct the diagrams with the help of the data provided in the questions. The students can solve those problems with the assistance of the tutor easily.
- There are the problems like calculating the surface area of the volume of two-dimensional and three-dimensional shapes in geometry which needs the imaginative power of the students. In order to imagine the 3D shapes of the diagram because 3D shapes cannot be drawn on paper, tutors can explain with the help of resources that are available on the internet today.
Let's Get Introduced to the Quadrilateral
In geometry, the quadrilateral can be defined as a four-sided polygon. Which contains 4 edges and four corners. The word quadrilateral was derived from the Latin word “Quadri” which means variant of four and latus means sides. It can also be called a tetragon which is derived from the Greek word tetra meaning four gon meaning corners or sides. The quadrilateral vertices are usually denoted by A, B, C, and D. They have 4 edges and 4 vertices. The quadrilaterals which are not self-intersecting are called simple quadrilaterals. There are many shapes that fall under the quadrilaterals.
Some of them are listed below.
The interior angles of the quadrilaterals are given by
Where A, B, C, and D are the vertices of quadrilaterals.
Area of quadrilaterals = 1/2×diagonal×(sum of perpendicular heights)
Perimeter = sum of sides of the quadrilaterals.
Each internal angle is equal to 90°
Example 1: What is the base of a rhombus, if its area is 20square units and the height is 4units?
Area = 20 square units
Height = 4units
Area of rhombus = Base × Height
20 = Base × 4
Example 2: Find the perimeter of the quadrilateral with sides of 3 cm, 5 cm, 6 cm, and 8 cm.
The sides of a quadrilateral are 3 cm, 5 cm, 6 cm, and 8cm.
The perimeter of the quadrilateral is
P = 3 cm + 5 cm + 6 cm + 8 cm = 22 cm.
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