Question

Given: WXYZ is a rectangle Conjecture: WX=YZ and WZ=XY
is this true or false? if false (please) give a counterexample

Answer 1

By definition, such must be the case.

Answer 2

(Since, were opposite sides not of equal length, we'd have something that doesn't have right angles on all sides)

Answer 3

The conjecture is true because a rectangle is a member of the parallelogram family. All parallelograms have opposite sides congruent. Hence, that property would also apply to the rectangle.