Math and Arithmetic
Geometry

# Is every rectangle with 4 congruent sides a square?

Yes. Every rectangle has 4 sides and 4 right angles. A rectangle that has 4 congruent sides is therefore a square.

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## Related Questions

No. A rectangle has opposite sides congruent. If consecutive sides are also congruent, then your rectangle is a square.

The answer is no, if a rectangle's sides were congruent, it would be a square not a rectangle.

Square. Congruent means "the same". A rectangle with 4 sides that are the same is a square.

No, every square is a rectange. A square must have 4 congruent sides and rectangles don't.

"Square. Congruent means "the same". A rectangle with 4 sides that are the same is a square." Plus, it is not a rectangle. It is a polygon. The question should have been stated: What is a polygon with congruent sides?

a parallelogram, rectangle, rombus, and square all are quadrilaterals. a quadrilateral means a shape with 4 sides. only 2 sides are congruent in a parallelogram 2 sides are congruent in a rectangle 4 sides are congruent in a rombus 4 sides are congruent in a square

A square has 4 equal sides, and 4 equal angles and are considered paralellagrams A rectangle has 4 equal angles but not necessarily 4 equal sides, it is also a parallelagram.. On a square all sides are congruent, while in a rectangle only opposite sides are. So when is a square not a rectangle? what defines a rectangle and a square, each shape has to have 4 right angles. the sides are parallel and that in a square all four sides are congruent while in a rectangle only the opposite sides are congruent. So a rectangle must have opposite sides that are parallel and equal and four right angles. A square must have opposite sides parallel, all sides congruent, and four right angles. a rectangle is a parallelogram with four right angles, while a square is a parallelogram with four congruent sides and four right angles. By this definition a rectangle is a square since it has opposite sides that are congruent and parallel and it has four right angles. The question is, why a rectangle is not a square? A rectangle is not a square because it is not required to have four congruent sides.

If they did, then it would be a square. Technically, a square is a rectangle though, so a rectangle can have 4 congruent sides.

Every parallelogram has. That includes every square, rectangle, and rhombus.

A square has all congruent sides. A rectangle has two pairs of parallel sides.

To qualify to be a square, the polygon has to have BOTH 4 right angles AND 4 congruent sides. A rectangle does not have both qualifications.

You maybe thinking of a square or a rhombus because a rectangle does not have four congruent sides.

Every parallelogram. (That includes rhombus, rectangle, and square.)

A rectangle is a square when all of its sides are the same length.A rectangle is SOMETIMES a square.However, a square, is ALWAYS a rectangle.This is due to the properties held by a rectangle as well as properties of a square.Properties of Rectangle:Opposite sides are congruent.All angles are 90o.Opposite sides are parallel.Opposite central angles created by the diagonals are congruent.All diagonals are congruent.Properties of a Square:All sides are congruent.All angles are 90o.Opposite sides are congruent.Opposite sides are parallel.Diagonals intersect at a 90o angle.All diagonals are congruent.So one can have a square that is always a rectangle due to the properties. However, a rectangle will only be a square if properties are the same as a square.SometimesWhen all of its sides are exactly the same length.

Correct. A square is a rectangle, a special kind that is 'regular'--all its angles are congruent, and all its sides are congruent.

A square has all four equilateral sides, whereas a rectangle has two sets opposite sides that are congruent. A rectangle can be a square, but a square can not be a rectangle.

All sides congruent = square Two pairs of mutually congruent sides = rectangle

They are sometime congruent because a square is a parallelogram and its sides are congruent and a rectangle is one and its sides aren't congruent.

No indeed, but every square is a rectangle. Rectangles have four sides like squares, but they don't have all sides congruent to one another. All rectangles do not possess the same symmetrical lines as squares.