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Chart illustrating the rotational symmetry properties of various geometric shapes.

Table showing rotational symmetry of geometric shapes including parallelogram, regular polygon, rhombus, circle, trapezium, and kite with their order of rotational symmetry and center of rotation.

Table showing rotational symmetry of geometric shapes including parallelogram, regular polygon, rhombus, circle, trapezium, and kite with their order of rotational symmetry and center of rotation.

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Show Answer Key & Explanations Step-by-step solution for: Rotational Symmetry (video lessons, examples and solutions)
Final Answer:
The table is mostly correct, but the "Center of Rotation" for Trapezium and Kite should be filled in as None, since shapes with no rotational symmetry do not have a center of rotation (or it's undefined). However, strictly speaking, *any* shape has a geometric center point, but in the context of rotational symmetry, if there’s no rotational symmetry, we say the center of rotation is not applicable or left blank — and the table correctly leaves those cells empty.

But let’s double-check each row:

1. Parallelogram: Rotational symmetry of order 2 (rotate 180° → matches itself). Center = intersection of diagonals
2. Regular Polygon with n sides: Order = n (rotate by 360°/n). Center = intersection of diagonals (also center of circumscribed circle)
3. Rhombus: A special parallelogram → order 2, center = intersection of diagonals
4. Circle: Infinite rotational symmetry; any rotation about center works → order = Unlimited, center = center of circle
5. Trapezium (assuming *general* trapezium, i.e., only one pair of parallel sides, not isosceles): No rotational symmetry → order = None, so center is not defined → blank is acceptable
6. Kite (non-rhombus): Typically has reflection symmetry but no rotational symmetry (unless it’s a rhombus), so order = None, center = blank

So the table as given is correct — no changes needed.

Final Answer:
The table is correct as shown.
Parent Tip: Review the logic above to help your child master the concept of rotational symmetry worksheet with answers.
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Give theorder of rotational symmetry for each figure: