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Which of the following statements is not true ?

  • A.A kite becomes a rectangle if its opposite angles are equal.
  • B.A rectangle becomes a square if all its sides are equal.
  • C.A rhombus becomes a square if all its angles are equal.
  • D.A parallelogram becomes a rectangle if all its angles are equal.

Answer: A

The statement that is not true is that a kite becomes a rectangle if its opposite angles are equal.

A kite has two pairs of equal adjacent sides. If both pairs of its opposite angles are equal, it becomes a parallelogram with all four sides equal, that is, a rhombus, not a rectangle. A kite becomes a rectangle only in the special case of a square.

The other statements are true: a rectangle with all sides equal is a square, a rhombus with all angles equal (90 degrees each) is a square, and a parallelogram with all angles equal is a rectangle.

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