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A student claims: 'Every square is a rectangle, but not every rectangle is a square.'
Using the definitions of these quadrilaterals, decide whether the claim is true or false.

Class 9Geometrical Terms and DefinitionsGeometry — Foundations
  • ATrue
  • BFalse, both statements are wrong
  • CFalse, a square is never a rectangle
  • DFalse, every rectangle is a square

Step-by-Step Solution

A square has all properties of a rectangle (4 right angles) plus equal sides, so every square is a rectangle. A rectangle need not have equal sides, so it need not be a square. The claim is true.
Answer: A) True

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