If a quadrilateral is a rectangle, Simplify how the property of its internal angles demonstrate that its opposite sides are parallel.
Define Rectangle Angles: Every angle in a rectangle is \(^\circ\)
Identify Transversal: Consider side \(AB\) as a transversal between sides \(AD\) and \(BC\).
Check Consecutive Interior Angles:\(\angle A + \angle B =\) \(^\circ +\) \(^\circ = 180^\circ\)
Apply Parallel Line Rule: When the sum of interior angles on the same side of a transversal is \(^\circ\), the lines are .
Therefore, \(AD || BC\). The same logic applies to \(AB\) and \(DC\) using side \(AD\) as a transversal.
The \(90^\circ\) angles ensure consecutive interior angles sum to \(180^\circ\), proving opposite sides are .