Geometrical Shapes

**Category : **5th Class

**COUNTING OF GEOMETRJCAL SHAPES**

Identify the shapes with their names and images and count the figure.

**SYMMETRY**

If a line divides any figure in identical parts, then figure is symmetrical about the line and the line is called line of symmetry.

**AREA AND PERIMETER USING SQUARE PAPER**

We can find the perimeter of the figures by counting the number of boundaries of squares drawn on the square paper and for the area of regular and irregular figure by counting the squares enclosed on a square paper.

**EXAMPLE**

** 1. Area of the shaded figure if area of 1 \[=\,\,1\,{{m}^{2}}\]**

Number of complete squares =17

Number of half squares = 5

Area of figure is (Because area of 1 = 1 m2)

**NET OF GEOMETRICAL SHAPES**

**Net of cube:** There are different types of net of a cube, depending upon that how you unfold it.

Net of a cube has 6 faces and all are squares. Net of open cube box has 5 squares. |

Net of cuboid: Same as cube, it also has different types of net, depending upon that how you unfold it.

Net of cuboid has 6 faces, in which pair of opposite faces are same. |

**ROTATION**

Turning of any figure around a point is called rotation.

rotation means figure rotates or .

rotation means figure rotates or .

2 half rotations means one full rotation.

**EMBEDDED FIGURES**

A figure (X) is said to be embedded in a figure (Y), if figure (Y) contains figure (X) as one of its part.

**Type I:**

Identify the small part hidden in given figure.

In such type of problems, a figure (X) is given followed by four parts such that one of them is embedded in figure (X).

The student has to identify such part.

**Type II:**

Identify the figure in which given part is hidden.

In such type of problems, a figure (X) is given followed by four figures in such a way that figure (X) is embedded in only one of the option figures.

The candidate has to select such figure in which figure (X) is embedded.

**EXAMPLE**

**1. Find the total shaded area of the figure made up of 5 cm squares.**

(a) \[475\,c{{m}^{2}}\] (b) \[200\,c{{m}^{2}}\] (c) 500 cm (d) 475 cm

**Explanation (a): **

Number of shaded squares = 19

Area of one square

Area of 19 squares

**2. How many unit cubes are there in the figure?**

(a) 38 (b) 44 (c) 58 (d) 46

**Explanation (b):**

Number of cubes in 1st layer = 14

Number of cubes in 2nd layer = 14

Number of cubes in 3rd layer = 8

Number of cubes in 4th layer = 8

Total number of cubes =14+14+8+8=44

**3. How many lines of symmetry does the figure have?**

(a) 4 (b) 1 (c) 2 (d) 0

**Explanation (c):**

There are two lines of symmetry.

**4. Which of the following is a net of the given solid?**

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

**Explanation (a):**

After folding, the net is of given solid.

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