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I assume you mean 4 congruent sides or 2 pairs of congruent sides.. (There are no 4-sided figures with 8 sides.)

A square.

Q: What closed 4- sided figure has 4 right angles and 4 pairs of congruent sides?

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two pairs of congruent angles in a rhombus

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).

Correct. Congruency means that two triangles have three pairs of congruent angles and corresponding sides of the same lengths. A pair of triangles with three pairs of congruent angles but sides of different lengths are similar, not congruent.

Pairs of Congruent Angles are Congruent

There are two pairs of congruent base angles in an isosceles trapezoid.

Related questions

Yes, both pairs of opposite angles in a parallelogram are congruent.

No, not all angles in a trapezoid are congruent. A trapezoid may have two pairs of congruent angles, or may have no congruent angles.

two pairs of congruent angles in a rhombus

The definition of a rectangle: A figure that has 4 right angles, has congruent diagonals that bisect, has 2 pairs of parallel sides, and has 2 pairs of opposite congruent angles. A square has all of the above, and thus, is a rectangle by definition.

A rectangle has 4 congruent angles. 90 degrees. It is also a parallelogram, 2 pairs of congruent sides.

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).

yes, intersecting lines form two pairs of congruent angles

Two pairs of congruent angles and one pair of congruent sides ( sides not between the pairs of angles ).

quadrilateral--a four-sided figure, any length sides, any angles trapezoid--one pair of parallel sides, any length sides, any angles parallelogram--two pairs of parallel sides, opposite sides congruent, opposite angles congruent rectangle--two pairs of parallel sides, opposite sides congruent, all angles are right angles (90 degrees) rhombus--two pairs of parallel sides, all sides congruent, opposite angles congruent square--two pairs of parallel sides, all sides congruetn, all angles are right angles (90 degrees)

Angles that are pairs of opposite and congruent lines formed by intersecting lines are intersections

No. A square has two pairs of congruent angles!

If both pairs of opposite angles of a quadrilateral are congruent, then it is a parallelogram.