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Mathematics

Statement I: Ram draws two squares and two rectangles, as shown in the adjacent figure. Next, he draws lines of symmetry in each figure. The total lines of symmetry he draws are 10.

Statement II: All the lines of symmetry of a circle are also its diameters.

Ram draws two squares and two rectangles, as shown in the adjacent figure. Next, he draws lines of symmetry in each figure. The total lines of symmetry he draws are 10. 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: Each square has 4 lines of symmetry, so two squares have 4×2=84 \times 2 = 8 lines of symmetry. Each rectangle has 2 lines of symmetry, so two rectangles have 2×2=42 \times 2 = 4 lines of symmetry. Total = 8+4=128 + 4 = 12 lines, not 10. So Statement I is false.

Statement II: Every line of symmetry of a circle passes through its centre, and any chord passing through the centre of a circle is a diameter. So all lines of symmetry of a circle are diameters. Statement II is true.

Hence, Option 2 is the correct option.

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