Write a proof to show that opposite sides of a parallelogram are congruent. be sure to create and name the appropriate geometric figures. this figure does not need to be submitted.

This should be ur answer bruh we are gonna prove ab=cd, lets start by assuming that the opposite of it is true : ab≠cd.we know that the diagaonals in a parallelogram bisect each other : oa≅ocob≅od∠doc≅∠aob as they're vertical angles.that gives △aob≅cod by sas congruence.by cpctc, cd≅ab. however this is a contradicting to our assumption. our assumption must be wrong, which is ab≠cd. and the opposite of it must be true : ab=cd. so opposite sides of a parallelogram are indeed congruent.hope this