Able to explore symmetry in familiar 3-D shapes like in alphabets intuitively

__Able to explore symmetry in familiar 3-D shapes like in
alphabets intuitively.__

For example, if we cut an apple into
two equal halves, we observe that two parts are in symmetry.

Symmetry is an important geometrical
concept commonly seen in nature and is used in every field of our life.
Artists, manufactures, designers, architects and others make use of the idea of
symmetry.

Symmetry refers to the exact match in
shape and size between two halves of an object.

When we fold a picture into two
halves, and if both the halves match exactly then we say that the picture is
symmetrical.

** **

**Line of symmetry:**

When a line divides a given figure
into two equal halves and it matches exactly, then we say that the figure is
symmetrical about the line. This line is called __the line of symmetry or axis
of symmetry__.

**Example**

**4 lines of symmetry**:
We can divide a square in 4 ways symmetrically.

**2 lines of symmetry**:
We can divide a rectangle in 2 ways symmetrically.

__Project:__

**1. List
out 2 symmetrical objects that you know.**

**Answer: Tomato,
sunflower**

**2. Tick
the picture which is symmetrical**

**3. Complete
the other half to make the given figure symmetric.**

**4. Draw
the lines of symmetry for the following figures.**

**Think it**

**1. Can we
divide the irregular solids, symmetrically? If no, why?**

**Answer: **No, because when we draw a line and divide the object into equal
halves, both the sides will not match with one another. It is not symmetrical.

**2. Write
the English alphabets that can't be divided symmetrically?**

**Answer: **F G J L N P Q R S T Y Z

**3. Write
the alphabets of English which are symmetrical. Further find whther the
symmetry is horizontal and vertical.**

**Answer: **A B C D E H I K M O U V W X

HIOX have horizontal and vertical symmetry.

AMUV - Vertical symmetry

BCDEK - Horizontal symmetry

**4. Circle
has many lines of symmetry. Is it true? why?**

**Answer: **True. We can draw many lines of symmetry for a circle. Each line
will give a symmetry for the circle.

**5. Find
the three numbers between 1 and 9 that can be divided symmetrically.**

**Answer: **1, 3, 8.

**6. Find
two numbers between 1 and 9 with two lines of symmetry.**

**Answer: **8

__Project__

Write down 26 English alphabets in a chart. Draw the lines of symmetry for the letters. Circle the remaining letters that are not symmetrical.

** **

**Do you know?**

Tajmahal in Agra is a symmetrical monument.

Tags : Geometry | Term 1 Chapter 1 | 5th Maths , 5th Maths : Term 1 Unit 1 : Geometry

Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail

5th Maths : Term 1 Unit 1 : Geometry : Symmetry in familiar 3-D shapes | Geometry | Term 1 Chapter 1 | 5th Maths

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