Yes, a shape can have reflection symmetry but no rotational symmetry. An example is a rectangle (not a square). It has reflection symmetry but only 180° rotational symmetry, as it doesn’t align at smaller angles.
Class 6 NCERT Ganita Prakash Chapter 9 Symmetry
class 6 Mathematics Textbook Chapter 9 question answer
Yes, certain shapes can have reflection symmetry without rotational symmetry. For instance, a rectangle (which is not a square) has reflection symmetry across its vertical and horizontal axes, but it does not exhibit rotational symmetry at angles less than 180°. When rotated by 90° or 270°, the rectangle does not match its original position, highlighting the distinction between reflection and rotational symmetry. Such shapes still have balanced properties but lack full rotational symmetry.
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