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Mathematics

Statement I: Suhana bakes a circular pie. Then she eats 14\dfrac{1}{4} th of the pie. The resulting figure is shown on the right. There are 2 lines of symmetry in the remaining pie.

Statement II: If a figure is divided into two coincident parts by a line, then the figure is called symmetrical about that line.

If a figure is divided into two coincident parts by a line, then the figure is called symmetrical about that line. Symmetry, ML Aggarwal Understanding Mathematics Solutions ICSE Class 6.
  1. Statement I is true but statement II is false.

  2. Statement I is false but Statement II is true.

  3. Both Statement I and Statement II are true.

  4. Both Statement I and Statement II are false.

Symmetry

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Answer

Statement I is false. When 14\dfrac{1}{4} of the circular pie is removed, the remaining 34\dfrac{3}{4} pie has only 1 line of symmetry, i.e., the diagonal that bisects the removed quarter (passing through the centre and the corner of the missing portion).

Statement II is true. This is the standard definition of a line of symmetry — a line that divides a figure into two coincident (mirror image) parts.

∴ Option 2 is the correct option.

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