Embedded Figures, Figure Formation, Construction of Squares, Grouping of Identical Figures

**Category : **6th Class

**EMBEDDED FIGURES**

In such type of problems, a simple figure is given followed by four other figures.

Only one figure out of the four figures embeds the given figure.

A candidate is required to choose that figure which embeds the given figure.

**1. Choose a figure from the four options in which the figure (X) is exactly embedded as one of its part?**

(a) (b) (c) (d)

**Explanation (a):**

The figure (X) is exactly embedded in figure (a).

So, the correct option is (a).

**FIGURE FORMATION**

This section deals us with the following types of problems.

**Formation of a Figure from its Segments:**

In such type of problems, all the parts to form a figure are given.

A candidate requires to identify the figure so formed out of the four options.

Choosing a Pattern which has the same components as a given Pattern.

In such type of problems, a pattern of several components is given.

Only one pattern out of four option patterns contains the same components.

A candidate requires to choose such pattern.

**2. Find out which of the figures (a), (b), (c) and (d) can be formed from the pieces given in figure (X).**

(a) (b) (c) (d)

**Explanation (a):**

The parts of figure in option (a) are in figure (X).

**3. Select that option which has the same components as the given figure (X).**

(a) (b) (c) (d)

**Explanation (b):**

Components of figure (X) and figure (b) are exactly same.

**CONSTRUCTION OF SQUARES**

Such type of problems are on the basis of the geometrical figures.

A candidate is required to identify the figure which can fit into each other to form a square.

**4. Select a figure from the given four options which fits exactly into figure (X) to form a complete square.**

(a) (b) (c) (d)

**Explanation (c):**

Figures (X) and (c) together form a square (see below).

So, the correct option is (c).

**GROUPING OF IDENTICAL FIGURES**

In such type of problems a set of some figures is given.

A candidate requires to classify these figures into groups on the basis of some common properties amongst them.

**5. Group the following figures into three classes regarding common properties amongst them.**

(a) 4, 7, 9; 1, 5, 8; 1, 3, 6 (b) 4, 7, 9; 1, 5. 6; 1, 3, 8

(c) 1, 2, 3; 4, 5, 6; 7, 8, 9 (d) 1, 2, 3; 4, 7, 9; 5, 6, 8

**Explanation (b):**

4, 7, 9 are blank figures.

2, 5, 6 each figure is divided into 4 parts by two mutually perpendicular lines.

1, 3, 8 each figure is divided into 6 parts.

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