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Exploring Symmetry in Shapes
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Exploring Symmetry in Shapes
🔍 Part 1: Identifying Lines of Symmetry
1. How many lines of symmetry does a regular hexagon have?
3
6
12
0
2. Which of these shapes has exactly one line of symmetry?
Square
Isosceles triangle
Circle
Regular pentagon
3. A line of symmetry divides a shape into two parts that are:
Equal in area only
Mirror images of each other
Different colours
Rotated versions of each other
4. Which shapes have rotational symmetry? (Select all that apply)
Square
Rectangle
Equilateral triangle
Scalene triangle
✏️ Part 2: Understanding Symmetry
5. Draw all the lines of symmetry for a rectangle in the box below:
6. Explain the difference between a line of symmetry and rotational symmetry:
7. Complete this sentence: When we reflect a shape across its line of symmetry, the two halves are ________________.
8. A regular octagon has _______ lines of symmetry and rotational symmetry of order _______.
🎨 Part 3: Creating Symmetrical Designs
9. Design a symmetrical pattern with at least 2 lines of symmetry in the space below. Label each line of symmetry clearly:
10. Extension Challenge: Create a logo for a fictional company that demonstrates both line symmetry and rotational symmetry. Explain your design choices:
11. Reflection: Why is understanding symmetry important in mathematics and the real world? Give two specific examples:
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