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Question 118

A rectangle measures 8 centimetres by 3 centimetres, so it is not a square. Select all the statements that are true about its lines of symmetry.

  1. It has exactly 2 lines of symmetry.Correct answer
  2. It has 4 lines of symmetry, because it has four right angles just as a square does.
  3. Neither of its diagonals is a line of symmetry.Correct answer
  4. Folding it along a diagonal makes the two halves match exactly.

Explanation

Folding across the middle of the long sides matches the halves exactly, folding across the middle of the short sides does the same, and no other fold works. A fold along a diagonal sends a long side onto a short one, so the halves overlap unevenly even though they cover equal areas.

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Question 118: A rectangle measures 8 centimetres by 3 centimetres, so it… · Geometry Basics · Questena