Basics Concepts of Geometry

Geometry is an interesting branch of mathematics, which covers figures, shapes, and drawing. This hub, brought to you by - www.tenmarks.com (Online Math Programs), explores identification of basic figures such as lines and polygons, and congruent and similar figures. We also learn about transformations and symmetry.

To understand this concept better, let us break it into smaller concepts. These concepts are as follows:

1. Basic Geometric Ideas

This topic deals with describing and naming geometric figures. It also covers classifying polygons and naming them. Below is a sample video which teaches you to solve a typical problem based on this topic.

- A point marks an exact location in space

- A ray is a part of a line that has one endpoint and goes on forever in one direction

- A line is an endless straight path. It has no endpoints

- A line segment is part of a line between two endpoints and it has a definite length

2. Congruence and Similarity

This topic deals with describing congruent and similar figures. It also covers identifying corresponding sides or angles from a pair of similar or congruent figures. Below is a sample video which teaches you to solve a typical problem based on this topic.

- Congruent means the same shape and the same size

- Similar means same shape

- Congruent figures are also similar

- The corresponding angles in similar figures are congruent

- The corresponding angles and sides in congruent figures are congruent

3. Transformation

In this topic, we learn to identify translations, reflections, and rotations, and use them to transform geometric shapes. We also learn solving problems by combining transformations. Below is a sample video which teaches you to solve a typical problem based on this topic.

- A transformation is a change in a figure's position. Translations, rotations, and reflections are types of transformations

- A translation is the movement of a figure from one position to another without turning it

- A rotation is a transformation involving the turning or spinning of a figure around a fixed point called the centre of rotation

- The mirror image produced by flipping a figure over a line is called a reflection. The line is called the line of reflection

4. Triangles

This topic covers the classification of triangles by their side lengths and angle measures. We also use the sum of the measures of the angles of a triangle to solve problems. Below is a sample video which teaches you to solve a typical problem based on this topic.

- A scalene triangle has no congruent sides. An isosceles triangle has at least two congruent sides. An equilateral triangle has three congruent sides

- An acute triangle has only acute angles (less than 90°).

- An obtuse triangle has exactly one obtuse angle (more than 90°).

- A right triangle has one right angle (equal to 90°)

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The ‘TenMarks Instructor’ is an educationist, a teacher, a guru, and a friend – someone available for help with math, learning, curriculums, methodologies, and parenting – whenever you need it. She represents TenMarks Education, Inc., a company passionate about K12 Math Education, which aims to revolutionize the way kids learn, and build a stronger future for today’s generation through a strong foundation in math.

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