Q: Where is there always a pair of non congruent sides?

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It depends on whether the congruent sides are the non-parallel ones (an isosceles trapezium) or a pair of adjacent sides (no special name).

One pair of opposite sides - the non-parallel ones.

No but it has congruent base angles. Also it has: One pair of parallel sides Non-parallel sides that are equal Two pairs of equal angles Diagonals that are equal

Two pairs of adjacent sides are congruent. The angles between the non-congruent sides are congruent.

Yes the non parallel sides of an isosceles trapezoid are congruent

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A rectangle has two pairs of congruent sides, but any pair of adjacent sides is non-congruent.

Trapezoid

A trapezoid with two congruent, opposite sides is an isosceles trapezoid.

It depends on whether the congruent sides are the non-parallel ones (an isosceles trapezium) or a pair of adjacent sides (no special name).

One pair of opposite sides - the non-parallel ones.

Sure. The non-parallel sides of a trapezoid can have equal lengths.

Not all polygons are regular by definition. An irregular polygon may have non-congruent sides or non congruent angles or both. A regular polygon will always have both congruent sides and angles.

No but it has congruent base angles. Also it has: One pair of parallel sides Non-parallel sides that are equal Two pairs of equal angles Diagonals that are equal

Two pairs of adjacent sides are congruent. The angles between the non-congruent sides are congruent.

Yes the non parallel sides of an isosceles trapezoid are congruent

non square rhombus

An isosceles trapezium or a non-isosceles trapezium in which one of the slanted sides is congruent to one of the parallel sides.