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Assertion: the true shape of a figure inclined to both principal planes can be found in one auxiliary projection. Reason: an auxiliary plane parallel to the figure reproduces it undistorted.

  • A.both the assertion and the reason are true and the reason explains the assertion
  • B.both the assertion and the reason are true but the reason does not explain the assertion
  • C.the assertion is true but the reason given for it is false
  • D.the assertion is false although the reason offered is a true statement in itself

Answer: D

Correct answer: the assertion is false although the reason offered is a true statement in itself

The reason is true - an auxiliary plane parallel to the figure does give the true shape - but that plane cannot be set up in one step. Its direction depends on knowing the figure’s attitude, which is established by a first auxiliary in which the figure appears as a line. Two successive projections are therefore needed, not one.

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