Understanding Symmetry in Shapes: A Visual Exploration

Delve into the world of symmetry with explanations and visual examples of line symmetry in shapes like squares, kites, and parallelograms. Explore the concept of rotational symmetry and try your hand at completing shapes based on given lines of symmetry. Discover the special properties of the letter "O" in terms of symmetry in the alphabet.

• Symmetry Shapes
• Line Symmetry
• Rotational Symmetry
• Visual Exploration

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Uploaded on Jul 22, 2024 | 1 Views

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1. SYMMETRY

2. LINE SYMMETRY A line symmetry occurs in a shape if, when the shape is folded over the line the two pieces either side of the line, are exactly the same.

3. LINE SYMMETRY The Square 4 Lines of Symmetry

4. LINE SYMMETRY The Kite 1 Line of Symmetry

5. LINE SYMMETRY The Parallelogram 0 lines of symmetry!!!

6. How many lines of symmetry do these shapes have? 4 2 0 1

7. LINE SYMMETRY Let s investigate letters of the alphabet for lines of symmetry. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z The letter O is special, try to find out how many lines of symmetry it has.

8. LINE SYMMETRY Example 1 : Complete the rest of the shape given the line of symmetry.

9. Example 2 : Complete the rest of the shape given the line of symmetry.

10. Example 3 : Complete the rest of the shape given the line of symmetry.

11. Example 4 : Complete the rest of the shape given the line of symmetry.

12. LINE SYMMETRY Now do Line Symmetry Exercise 1 & 2

13. Rotational Symmetry If, when you rotate a shape, it looks exactly the same as it did in its original position, then we say that the shape has rotational symmetry. A square It looks exactly the same four times in a full turn. It has rotational symmetry order 4.

14. Rotational Symmetry If, when you rotate a shape, it looks exactly the same as it did in its original position, then we say that the shape has rotational symmetry. T T T It looks exactly the same twice in a full turn. It has got rotational symmetry order 2.

15. THESE SHAPES ALL HAVE TURN SYMMETRY. CAN YOU SAY WHAT ORDER? 2 * * * 4 6 MARK THE CENTRE OF TURN SYMMETRY ON EACH

16. Rotational Symmetry all around us Which road signs have got rotational symmetry? Click to see the answers.

17. Order 3 Order 2 Order 2

18. Order 3 Order 2

19. Rotational Symmetry 1. Draw this shape into your jotter. 2. 3. Use the tracing paper to make a copy of this shape. Turn the tracing paper through 180 degrees about the dot. The new shape has HALF - TURN symmetry (order 2) The dot is called the centre of symmetry

20. Example 5 : Complete this shape so that it has half turn symmetry (order 2)

21. Example 5 : Complete this shape so that it has half turn symmetry (order 2)

22. Example 6 : Complete this shape so that it has half turn symmetry (order 4)

23. ROTATIONAL SYMMETRY Now do Rotational Symmetry Exercise 3& 4