Question

What is the basic unit of geometry which shows an exact location? Explain.

Answer 1

Hint: First of all we will define what is meant by geometry and then we will take a 2-D figure for an example then we will break it and show that the basic unit is a point. Then we will define the basic unit obtained that is a point and then we will take an example of it and show it on a graph that shows it's the exact location.

Complete step-by-step solution
First of all, let’s understand what we mean by geometry. So, geometry is derived from two Greek words that are geo and metron which means earth and measurement respectively. Thus it is concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional figures. Therefore, we study geometry to find the Length, Area, Volume of different Plane and Solid figures which are present around us.
Now, let’s see a 2-D shape:

Now, let’s consider a smaller unit of this figure. As we can see this figure is made up of four-line segments, so a line segment will look like the following figure:

So, now we know that a line is basically a collection of points going endlessly in both directions and the line segment is a part of the line, therefore the line segment is made up of points put together. Hence, the point is the basic unit of this figure.
As we saw above the basic unit of the figure is a point so for any figure in geometry the basic unit is a point.
Let’s define what a point is. So a point in geometry is a location. It has no size that is no width, no length, and no depth. A point is represented by a dot as shown below:

We see that the given point is showing the location which is seen by the coordinates of the given point. The coordinates of a point are represented as (x,y) where x is the x-coordinate or abscissa of a point is its perpendicular distance from the y-axis measured along the x-axis and y is the y-coordinate or ordinate of a point is its perpendicular distance from the x-axis measured along the y-axis.
Therefore, the given point A shows us the location of (2,3) as shown below:

So, as we saw that the point is the smallest and most basic unit in the geometry which shows the location.
Therefore, the correct answer is a point.

Note: A common mistake that is made is while writing the coordinates, students may write y-coordinate first and then the x-coordinate, remember that the coordinates are always written in the form: (x,y). It’s better to always draw and plot on a graph to prove our statements that we write. Also, always remember to label the graphs otherwise there is a chance of marks deduction.