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CONSTRUCTION OF BASIC GEOMETRICAL SHAPES

Construction of Perpendicular Lines Construction of Parallel Lines

• Construction of a perpendicular through • Construction of a line parallel to a given line
a point P on the line l. segment through a point lying outside.
• Construction of a perpendicular to a line • Construction of a line parallel to a given line
at a given distance.
through a point lying outside it.

Construction of Angles Construction of Triangles

• Constructing a copy of the given angle of • Constructing a triangle when the lengths of
unknown measure. its three sides are given.
• Constructing the bisector of a given angle. • Constructing a triangle when the length of
two sides and measure of the included angle
• Construction of angles of different between them are given (by SAS criteria).
measures (30°, 45°, 60°, 90°, and 120°, etc.) • Constructing a triangle when the measure of
the two angles and the length of the included
side between them are given (by ASA criteria).
• Constructing a right-angled triangle when the
lengths of one side and hypotenuse are given
(RHS criteria).

www
MAths connect

The Sri Yantra is a beautiful and complex sacred geometrical shape used
for worship, devotion, and meditation. It has been in use for thousands
of years, and its origin seems unknown. The central figure is composed
of nine interlocking triangles. Every triangle is connected to the others
by common points, and this is the reason why it is so difficult to draw
correctly. Changing the size or position of one triangle often requires
changing the position of many other triangles.
During the geometrical construction of Sri Yantra, it must satisfy all of
these three characteristics:
1. Concurrency: All triple nodes meet at one point.
2. Concentricity: The centre of the innermost triangle and the enclosing
circle coincide.
3. Equilaterality: The innermost triangle is equilateral.
By using the internet explore more about the Sri Yantra and other such
geometrical shapes. And how to construct it geometrically. Take help
from your teacher to construct the Sri Yantra in your notebook.

349 Construction of Basic Geometrical Shapes