Q: Is it possible to draw a square and a rhombus that are congruent?

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yes

Yes. If you don't believe me, then you can draw one yourself.

Yes. A rhombus is a "squashed" square in that every side is equal in length but only opposite angles are equal. The square is a special case of a rhombus where not only are opposite angles equal, but all 4 angles are equal. All squares are rhombuses but not all rhombuses are squares.

a rhombus

a square

Related questions

No, it is not possible.

No, you cannot.

Sure ! -- The sides of every rhombus are always congruent. -- If you make the angles congruent, then you have a special kind of rhombus called a "square".

yes

Yes. If you don't believe me, then you can draw one yourself.

Yes, but then it would become a square (a special case of a rhombus).

Yes. A rhombus is a "squashed" square in that every side is equal in length but only opposite angles are equal. The square is a special case of a rhombus where not only are opposite angles equal, but all 4 angles are equal. All squares are rhombuses but not all rhombuses are squares.

a rhombus

Squares are special cases of rhombuses, ones in which all the internal angles are the same (90°). So no, you cannot draw a square that is not a rhombus. It's a bit like trying to draw a square that is not a quadrilateral. Squares are special cases of quadrilaterals.

a square

Yes, draw a rhombus.

square, rectangle