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Consider the following statements about sections of solids.

1. Every plane section of a sphere is a circle   2. A plane through the apex of a cone gives a triangle   3. A cut parallel to a pyramid's base gives a figure identical to the base

  • A.1, 2 and 3 are all correct statements about sections of solids
  • B.2 and 3 only are correct
  • C.1 and 3 only are correct
  • D.1 and 2 only are correct

Answer: D

Correct answer: 1 and 2 only are correct

Statements 1 and 2 are correct: every plane section of a sphere is a circle, and a plane through the apex of a cone gives a triangle. Statement 3 is the standard error - a cut parallel to a pyramid’s base is similar to it but smaller, and only a prism gives a section identical to its base.

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