The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:
Practical geometry is the real-time construction of different geometrical entities with the correct shape, size, and dimension. We use different geometrical instruments for the construction work. Geometry is a fun, application-based subject that is loved by all students. Let’s look at some basic geometrical tools that we use in our daily lives as geometry students.
Here are some basic geometrical tools that are used in practical geometry and constructions.
- Divider: These instruments are used to compare any given arc or line segment’s finite lengths, and redraw that arc or line segment.
- Protractor: It is a scale that consists of angles and is used to draw any specific angle starting from 0 to 180 degrees.
- Set Squares: These instruments are used to draw perpendicular and parallel lines.
- Compass: It is a basic multi-purpose instrument that helps you draw angles, line segments, and perpendicular bisectors of any line/ angles.
- Ruler: It is a linear scale that consists of length metrics.
Let’s discuss the basic concepts of construction and geometry. These basic concepts build geometrical shapes and figures that we use in our daily life.
Here are some basic geometry concepts that are used in geometrical constructions of shapes and figures.
- Line Segment: Any line bounded by two extreme points. The length of the line segments is finite and can be adjusted as per our need.
- Rays: A part of a line bounded by a point at one end. Rays can be projected infinitely from the arrowed directing.
- Perpendicular: A perpendicular is a line segment that rests on a baseline and is at 90 degrees with the baseline.
- Parallel Lines: In parallel lines, two infinite lines run at an identical distance from one another. The perpendicular distance between these two lines is always constant at any point of the line.
- Circles: A polygon with infinite sides or a locus that is equidistant from a fixed focus.
- Angles: It is the rotation of one hand from a base hand with angles as a measuring factor. We can even convert these angles into the distance. Two rays with a common endpoint form Angles.
Constructing the Line Segment of a copy:
Given any line segment of any finite length, we can construct a line segment using a compass and ruler.
- Measure the line segment AB using the ruler.
- Now you can draw a similar line using the ruler.
- But what if you don’t have a ruler and are provided with only a compass. Then also, you can make the line segment.
- Keep the pointed end of the compass on one end of the line segment. The other end of the compass should touch the other end of the line segment.
- Now using that extended length, draw an arc on the sheet. Now join any point on the arc with the origin point of that locus.
Constructing a Circle using Ruler and Compass:
You can draw a perpendicular using a simple compass and ruler. Let’s construct the perpendicular now.
- Draw a line segment on the paper using the ruler and pencil.
- Now take any finite length in the compass smaller than the line segment.
- Using the one end of the line segment as the origin, make an arc on one side of the line segment. Now repeat this process by using the other line segment end as your origin. Intersect the first arc.
- Using the same compass length, do this same process on the other side of the line segment. Now join the two intersected arcs on both sides of the line segment.
- You’ll get a perpendicular line segment.
Practical geometry is an important topic of maths, where you learn about the practical applications and constructions of geometrical shapes and figures. We use different geometrical tools manually to get the desired geometrical figure. There are some basic geometrical constructions like constructing a circle, a line segment, or perpendicular lines that can help you in the beginning. Most of the complex geometrical constructions are based on these simple and basic construction units.
- What are the three types of geometry?
There are three types of geometry in two-dimensional spaces. Those are Euclidean geometry, spherical geometry, and hyperbolic geometry.
- What is the meaning of geometry?
Geometry is a branch of mathematical studies that deals with various shapes, figures, sizes, points, lines, solids, and surfaces. We construct these geometrical figures according to the specified dimensions.
- What are the 2 types of geometry?
The two types of a broad class of geometry are Euclidean geometry and Non-Euclidean geometry.
- Why is it important to study geometry?
Geometry is important in real-life applications. You construct various products and buildings, streamline any product under a regulated process, connect mapping objects, and much more. Every monument and building are first built using geometrical tools on paper and analysed. It’s all possible due to geometry.
- How do you understand geometry?
If you are familiar with the basic concepts of line segments, angles, perpendicular, and shapes, then geometry is easy to comprehend.
- What are the basics of geometry?
The basics of geometry are line segments, lines, angles, arcs, rays, planes, and more. These form the basis of more complex construction of shapes and figures.
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