Question

is the following statement a good definition? a rectangle is a quadrilateral with all angles congruent. yes no submit

Explanation:

A good definition should be precise and reversible. For a quadrilateral with all angles congruent, each angle must be \(90^\circ\) (since the sum of interior angles of a quadrilateral is \(360^\circ\), so \(360^\circ\div4 = 90^\circ\)). A rectangle is defined as a quadrilateral with four right angles (all angles congruent and \(90^\circ\)). Also, if a quadrilateral has all angles congruent, it must be a rectangle (since four \(90^\circ\) angles imply opposite sides are parallel and equal, meeting rectangle's criteria). So the statement is a good definition.

Answer:

yes