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Q: What shape is a quadrangle with 2 pairs of congruent adjacent sides?

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a square

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).

This is a rectangle.

A kite shape is one example -- 2 long sides adjacent to each other & 2 short sides adjacent to each other.

its a kite

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Square

a square

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).

A square or a rhombus

rectangle

obtuse

a parallelogram.

This is a rectangle.

You have described a rectangle.

Kite is a geometry term for a quadrilateral shape. The shape has two pairs of adjacent sides that are congruent. The diagonals are perpendicular.

A kite shape is one example -- 2 long sides adjacent to each other & 2 short sides adjacent to each other.

its a kite

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