Basic constructions

In the previous post we have discussed about Triangle inequality theorem and In today's session we are going to discuss about Basic constructions. Geometry is an important part of the mathematics; in geometry we make many types of figures, angles and lines. So the construction is an art by which we can draw the shapes. Basic constructions in geometry include the construction of the circles, triangles, lines and many types of shapes. And for the basic construction we use some steps that are to be followed for making shapes and also we need some instruments such as compass, ruler, pencil, drafter, dividers, etc.
When we study about the basic constructions in geometry then first we should be familiar with two things,
First one is line bisector and second is angle bisector. With help of angle bisector method we can create many angles like 15Ëš, 30Ëš, 45Ëš, 60Ëš etc. we can construct shapes for the triangle, rectangles etc. but the line bisector and the angle bisector are basic geometry constructions so let us take a look on some steps of the line bisector.
To draw the bisector of a line let us take an example:
i) Draw a line segment AB = 6.5 cm. (know more about cbse syllabus , here)
ii) With ‘A’ as a center and radius equals to more than half of AB, draw two arcs, one above AB and the other below AB.
iii) With ‘B’ as a center and the same radius, draw two arcs, cutting the previously drawn arcs at points ‘C’ and ‘D’ respectively.
iv) Join CD, intersecting at a point AB at a point ‘P’, then, CD bisects AB at a point ‘P’.
For basic constructions of shapes we have to follow some steps.
 Grade IX students can learn basic geometry from above discussion.