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a square

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Q: What shape has two pairs of adjacent and congruent sides?
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What shape has 2 pairs of congruent sides with those sides being non-adjacent and the angles are not all congruent?

This is a parallelogram. The first requirement is 2 pairs of congruent sides where the congruent sides are not adjacent. This is like a rectangle (excluding a square) that has two pairs of congruent sides where the congruent sides are not adjacent. But the angles are not all congruent (as set in the question) which pushes the shape into the "next less regular" shape, the parallelogram. The angles will not all be congruent, but it will have 2 pairs of congruent angles. There is no way to avoid the 2 pairs of congruent angles because of the requirement that the shape must have 2 pairs of congruent sides (the first requirement).


What shape has two pairs of adjacent sides are congruent?

Square


A garden has 2 pairs of congruent sides the congruent sides are not adjacent and the angles are not all congruent what is the shape of the garden?

obtuse


What shape has 2 pairs of congruent adjacent sides?

A square or a rhombus


What shape has two pairs of opposite parallel sides but adjacent sides not congruent?

a parallelogram.


What shape is quadrilateral with two distinct pairs of adjacent congruent sides?

rectangle


A quadrilateral with congruent pairs of adjacent sides and no parallel sides?

A quadrilateral with congruent pairs of adjacent sides and no parallel sides is a kite.


What shape has adjacent sides not equal and 2 pairs of congruent sides and 4 right angles?

This is a rectangle.


What is a quadrilateral with two pairs of congruent adjacent sides congruent and no congruent opposite sides?

Diamond


What is a quadrilateral with 2 pairs of congruent adjacent sides congruent and no congruent opposite sides?

Trapezoid.


What is a shape that has adjacent sides not equal two pairs congruent and four right angles?

You have described a rectangle.


What is a four-sided polygon with two pairs of congruent adjacent sides?

A kite is a four-sided polygon with two pairs of congruent adjacent sides.