Geometry is an important branch of mathematics that involves studying shapes, sizes, positions, and dimensions of objects. In this lesson, properties of four sided figures we will focus on trapezium, which is a four-sided figure, and learn how to draw it using a protractor, ruler, and set square.
Before we begin drawing the trapezium, let’s review some of its properties. A trapezium is a quadrilateral, which means it has four sides. The two opposite sides of a trapezium are parallel, and the other two sides are non-parallel. Additionally, a trapezium has two angles on each side.
To draw a trapezium, we need to follow certain steps. First, we will sketch the figure and then draw the trapezium for the given dimensions.
Step 1: Sketch the Figure
We start by sketching the trapezium in our notebooks. We draw a horizontal line segment FG of length 9cm. Next, we use a protractor to draw an angle of 60° at point F. Then we label point E, which is on line FG, and EF is of length 5cm. Finally, we draw a vertical line from E to point H.
Step 2: Draw a Line Parallel to FG
Now we need to draw a line parallel to FG, passing through point E. For this, we use a set square and a ruler. We place the set square along FG and position the ruler at point E as shown in the picture. Then we slide the set square upwards along the ruler until it touches point E. Next, we draw a line parallel to EH from point E, which intersects the line FH at point G.
Step 3: Draw the Angle at G and Label Point H
Now we need to draw the angle at G, which is 50°. We use a protractor to draw this angle. The two lines, EF and GH, meet at point H. We label this point.
Step 4: Check the Drawing
Once we have completed drawing the trapezium, we need to check it. We can compare the trapezium we drew with the sketch we made earlier to see if it is similar.
Drawing a trapezium may seem challenging at first, but it is a simple process if we follow the steps carefully. By using a protractor, ruler, and set square, we can draw a trapezium for any given dimensions. Understanding the properties of trapezium is also important as it helps us to identify and differentiate it from other quadrilaterals.
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