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A rectangle has 4 congruent angles. 90 degrees.

It is also a parallelogram, 2 pairs of congruent sides.

Q: A quadrilateral with 4 congruent angles and 2 pairs of congruent sides?

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A Rhombus.

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

A quadrilateral has 2 pair of congruent angles and 4 congruent sides. What is the name of the quadrilateral

You're fishing for "a square", but the way you've described it, no such animal exists. You said "all sides and angles congruent", and that's not possible. The sides are congruent to each other, and the angles are congruent to each other, but no side is congruent to any angle.

There are 5 ways to prove a Quadrilateral is a Parallelogram. -Prove both pairs of opposite sides congruent -Prove both pairs of opposite sides parallel -Prove one pair of opposite sides both congruent and parallel -Prove both pairs of opposite angles are congruent -Prove that the diagonals bisect each other

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It is rectangle and parallelogram. :). :D

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