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![Samacheer Kalvi solutions for Mathematics - Term 3 [English] Class 6 TN Board chapter 4 - Symmetry - Shaalaa.com](/images/mathematics-term-3-english-class-6-tn-board_6:5f2b1b2038084cf381bfa42c826a928c.jpg "Samacheer Kalvi solutions for Mathematics - Term 3 [English] Class 6 TN Board chapter 4 - Symmetry")
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Solutions for Chapter 4: Symmetry
Below listed, you can find solutions for Chapter 4 of Tamil Nadu Board of Secondary Education Samacheer Kalvi for Mathematics - Term 3 [English] Class 6 TN Board.
Samacheer Kalvi solutions for Mathematics - Term 3 [English] Class 6 TN Board 4 Symmetry Exercise 4.1 [Pages 67 - 69]
Fill in the blanks
The reflected image of the letter ‘q’ is ___________
A rhombus has __________ lines of symmetry
The order of rotational symmetry of the letter ‘z’ is _________
A figure is said to have rotational symmetry, if the order of rotation is atleast ___________
____________ symmetry occurs when an object slides to new position
Say True or False
A rectangle has four lines of symmetry
True
False
A shape has reflection symmetry if it has a line of symmetry
True
False
The reflection of the name RANI is INAЯ
True
False
Order of rotation of a circle is infinite
True
False
The number 191 has rotational symmetry
True
False
Match the following shapes with their number of lines of symmetry
| Column A | Column B | ||
| i) | Square | a) | No line of symmetry |
| ii) | Parallelogram | b) | One line of symmetry |
| iii) | Isosceles triangle | c) | Two lines of symmetry |
| iv) | Rectangle | d) | Four lines of symmetry |
Draw the lines of symmetry of the following.
Draw the lines of symmetry of the following.
Draw the lines of symmetry of the following.
Draw the lines of symmetry of the following.
Using the given horizontal line/vertical line as a line of symmetry, complete each alphabet to discover the hidden word.
Draw a line of symmetry of the given figure such that one hole coincide with the other hole(s) to make pairs.
Draw a line of symmetry of the given figure such that one hole coincide with the other hole(s) to make pairs.
Draw a line of symmetry of the given figure such that one hole coincide with the other hole(s) to make pairs.
Draw a line of symmetry of the given figure such that one hole coincide with the other hole(s) to make pairs.
Draw a line of symmetry of the given figure such that one hole coincide with the other hole(s) to make pairs.
Complete the other half of the following figure such that the dotted line is the line of symmetry.
Complete the other half of the following figure such that the dotted line is the line of symmetry.
Complete the other half of the following figure such that the dotted line is the line of symmetry.
Complete the other half of the following figure such that the dotted line is the line of symmetry.
Find the order of rotation for the following
Find the order of rotation for the following.
Find the order of rotation for the following.
Find the order of rotation for the following.
Find the order of rotation for the following.
A standard die has six faces which are shown below. Find the order of rotational symmetry of each face of a die?
What pattern is translated in the given border kolams?
What pattern is translated in the given border kolams?
What pattern is translated in the given border kolams?
Objective Type Questions
Which of the following letter does not have a line of symmetry?
A
P
T
U
Which of the following is a symmetrical figure?
Which word has a vertical line of symmetry?
DAD
NUN
MAM
EVE
The order of rotational symmetry of 818 is __________
1
2
3
4
The order of rotational symmetry of 
is _________
5
6
7
8
Samacheer Kalvi solutions for Mathematics - Term 3 [English] Class 6 TN Board 4 Symmetry Exercise 4.2 [Pages 70 - 71]
Miscellaneous Practice Problems
Draw and answer the following.
A triangle which has no line of symmetry
Draw and answer the following.
A triangle which has only one line of symmetry
Draw and answer the following.
A triangle which has three lines of symmetry
Find the alphabets in the box which have No line of symmetry
| A | M | P | E |
| D | I | K | O |
| N | X | S | H |
| U | V | W | Z |
Find the alphabets in the box which have Rotational symmetry
| A | M | P | E |
| D | I | K | O |
| N | X | S | H |
| U | V | W | Z |
Find the alphabets in the box which have Reflection symmetry
| A | M | P | E |
| D | I | K | O |
| N | X | S | H |
| U | V | W | Z |
Find the alphabets in the box which have Reflection and rotational symmetry
| A | M | P | E |
| D | I | K | O |
| N | X | S | H |
| U | V | W | Z |
For the following picture, find the number of lines of symmetry and also find the order of rotation.
For the following picture, find the number of lines of symmetry and also find the order of rotation.
For the following picture, find the number of lines of symmetry and also find the order of rotation.
For the following picture, find the number of lines of symmetry and also find the order of rotation.
For the following picture, find the number of lines of symmetry and also find the order of rotation.
The three digit number 101 has rotational and reflection symmetry. Give five more examples of three digit numbers which have both rotational and reflection symmetry
Translate the given pattern and complete the design in rectangular strip?
Challenge Problems
Shade one square so that it possesses One line of symmetry
Shade one square so that it possesses Rotational symmetry of order 2
Join six identical squares so that atleast one side of a square fits exactly with any other side of the square and have reflection symmetry (any three ways)
Draw the following:
A figure which has reflection symmetry but no rotational symmetry
Draw the following:
A figure which has rotational symmetry but no reflection symmetry
Draw the following:
A figure which has both reflection and rotational symmetry
Find the line of symmetry and the order of rotational symmetry of the given regular polygons and complete the following table and answer the questions given below.
| Shape | Equilateral Triangle  |
Square |
Regular pentagon  |
Regular hexagon  |
Regular octagon  |
| Number of lines of symmetry | |||||
| Order of rotational symmetry |
i) A regular polygon of 10 sides will have _________ lines of symmetry
ii) If a regular polygon has 10 lines of symmetry, then its order of rotational symmetry is ___________
iii) A regular polygon of 'n' sides has _________ lines of symmetry and the order of rotational symmetry is _________
Colour the boxes in such a way that it possesses translation symmetry.
Colour the boxes in such a way that it possesses translation symmetry.
Solutions for 4: Symmetry
Samacheer Kalvi solutions for Mathematics - Term 3 [English] Class 6 TN Board chapter 4 - Symmetry
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Concepts covered in Mathematics - Term 3 [English] Class 6 TN Board chapter 4 Symmetry are Concept of Lines Symmetry, Lines of Symmetry for Regular Polygons, Concept of Reflection Symmetry, Concept of Rotational Symmetry, Translational Symmetry.
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