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Is the definition of a rectangle reversible?
1) Yes
2) No

User Khary
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1 Answer

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Final answer:

The definition of a rectangle is indeed reversible; if a quadrilateral has four right angles and opposite sides that are equal, it is classified as a rectangle.

Step-by-step explanation:

The question regards whether the definition of a rectangle is reversible, which we can interpret as asking if a geometrical figure that satisfies the properties of a rectangle is always identified as a rectangle. In mathematics, a rectangle is defined as a quadrilateral where all angles are right angles (90 degrees). Ensuring that the definition is reversible implies that any quadrilateral that has four right angles fulfills the definition of a rectangle and therefore should be categorized as one.

Looking at the properties and definition of a rectangle, we can state that the answer to the question is 'Yes'. A quadrilateral with all four angles being right angles is always a rectangle, provided that it also has opposite sides that are equal in length. Hence, the definition is reversible: if a figure is a rectangle, it has four right angles, and if a figure has four right angles (and opposite sides are equal), it is a rectangle.

User Jade Hamel
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