In this chapter, we will study basic concepts of construction and how they are used in mathematics. This allows the students to learn how to use the compass and protractor and perform mathematics construction. In addition, this chapter helps the young students to understand how lines and angles are constructed.
Here we will learn the construction of the perpendicular bisector of a line segment. First, this is accomplished by drawing an arc from both endpoints with a radius of more than half the line segment's length. The point where the arcs cut each other is known as the point of intersection, and the perpendicular bisector is drawn by joining the points of intersection on both sides of the line segment. Next, similar angles and angles of given measurements are constructed. Finally, the protractor or the compass and ruler method is used to make the angle bisector.
The chapter also teaches us topics like drawing the line on both the interior and outward sides of a line to create perpendicular lines to a line segment and making a line parallel to another by starting from a position outside the line segment. Using a set measurement, draw a perpendicular line segment.
Constructing angles of 60, 45, 90, 120 etc. and bisecting it further is one of the important topics presented in this textbook. Other constructions like the construction of circles, squares, and similar line segments are also part of this chapter. There are mainly two exercises that this chapter has, which contains questions based on different types of construction.
The finest aspect of these answers is the methodical technique that was taken to solve the challenges. When the learner is doing the problems independently, they may appear tough, but if he follows the strategy outlined in the solution file, he will complete them quickly and avoid being trapped on any question.