Determine how many lines of symmetry each object has. Then determine whether each object has rotational symmetry.
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given: provided any shapes
to find: line of symmetry and rotational symmetry.
- Consider Pentagon, it has 5 sides, so it will have 5 lines of symmetry.
Some special cases:
1. equilateral triangle has 3 lines of symmetry, whereas isosceles triangle has 1 line of symmetry and scalene triangle has no line of symmetry.
2. circle has infinite lines of symmetry.
- Every symmetric object has rotational symmetry. Considering a heptagon, it has 7 sides so order of rotational symmetry is 7.
Some special cases:
1. equilateral triangle has order 3, whereas isosceles triangle has order 1 and scalene triangle also has order as 1.
2. circle has infinite order of rotational symmetry.
hence,
1. Each object has 'number of sides' as the symmetric lines.
2. Each object has 'number of sides' as the order of rotational symmetry.
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