Figure Construction And Analysis Notes with MCQs (NTSE)

A construction is a geometric drawing for which only a compass and a straightedge may be used. Using specific observations and examples to arrive at a conjecture is called l inductive reasoning. Deductive reasoning uses logic, and statements that are already accepted to be true, to reach conclusions. The methods of mathematical proof are based on deductive reasoning. A ‘point’, a ‘line’ and a ‘plane’ are the basic concepts to be used in geometry and to construction different figures.

Note
Fauvism, Cubism, Symbolism, and other movements played an important role in the development of his own revolutionary approach to painting.
Decrying literal representation, Kandinsky emphasized instead the importance of form, colour, rhythm, and the artist's inner need in expressing reality. Relying on his own unique terminology, he develops the idea of point as the "proto- element" of painting, the role of point in nature, music, and other art, and the combination of point and line that results in a unique visual language.
He then turns to an absorbing discussion of line—the influence of force on line, lyric and dramatic qualities, and the translation of various phenomena into forms of linear expression.
With profound artistic insight, Kandinsky points out the organic relationship of the elements of painting, touching on the role of texture, the element of time, and the relationship of all these elements to the basic material plane called upon to receive the content of a work of art.

I. Construction of Squares and Triangles
There are three ways of asking question from this chapter:

To choose the only segment of a square.
To choose three figures that are all the segments of a square.
To choose three figures that are all the segments of an equilateral triangle.

Example 1. Select a figure from the given four options which fits exactly into figure X to form a complete square.

Solution: (b) We observe after rotating the figure (b) through 180°, it exactly fits into figure X to form a complete square as

shown below:

Example 2. Select that combination of the parts, PQRS and T, which can form a complete square when they are mutually

fitted into each other.

II. Figure Formation and Analysis
This chapter deals with various types of two-dimensional and three dimensional figures, their formation and their analysis.

Choose a figure whose components are given.
Identify the components of a given figure.
Formation of a three-dimensional figure from its net.
Identifying an identical figure.
Choosing a pattern with given components.

Example 3. Find out which of the figures (a), (b), (c) and (d) can be formed from the pieces given in Fig. (X)

Solution: (c) Let us join the two smaller pieces as shown below

Now, join it with the third piece as shown below:

Multiple Choice Questions

Direction (1 to 4): In each of the following questions, a figure X is given. Choose a figure from four options such that this figure and the figure X can form a complete square after fitting each other.

Direction (1 to 9): In each of the following questions a set of five figures 1, 2, 3, 4 and 5 is provided. Out of them-three figures when fitted into each other forms a complete square.

Choose an option representing such three figures.

Direction (10 to 11): In each of the following questions, choose the combination of the three parts from (a) (b) (c) and (d), which can fit into each other to form an equilateral triangle.

Direction (12 to 14): In each of the following questions, all the components of a geometrical figure are shown in figure X. Identify this geometrical figure from amongst the four options.

Direction (15 to 16): In each of the following questions, identify the exact components of the given figure (x).

Direction (Question 17): In each of the following questions, a 3-dimensional object is given in figure X. Choose one of the four option figures (nets) which will form the given

figure (X) when it is folded along the dotted line.

Direction (18 to 19): In each of the following questions, a figure X is given. Find out which one of the option figures is identical as the figure X.

Direction (Question 20): In each of the following questions, select an options figure which has the same components as that of the given figure X.