A rhombus is never a square?

Answer 1

Remember that a rhombus is a parallelogram with all equal sides.

A square is a parallelogram with all equal sides AND all angles equal to 90 degrees. By this logic, a square is a rhombus.

That means a rhombus CAN be a square in that one instance. So the answer is false; it is not the case that a rhombus is never a square, or, in symbolic logic, there exists a rhombus that is a square.

As a side note, "A rhombus is always a square" is also false.

EDIT: Wow; I'm surrounded by people who disagree with me. Am I wrong? I feel that I'm right but some of the mathematically strong people disagreed with me.

"A rhombus is always a square" is false
"A rhombus is never a square" is false (by my claim only, so far)
"A rhombus is sometimes a square" is true.

According to symbolic logic, the negation of "A rhombus is never a square" is negated by "There exists a rhombus which is a square", and that's my reasoning. Am I wrong?

Answer 2

False. A square is a special case of a rhombus. It is a rhombus with 4 equal angles.

Answer 3

a rhombus can never be a square
but a square is a rhombus

From Wikipedia:
Rhombus (or rhomb): a quadrilateral in which all of the sides are of equal length

Square: a polygon with four equal sides and equal angles.

Therefore:
a rhombus can never be a square (because the angles are different)
but a square is a rhombus (because all sides will be equal length)

Answer 4

Yes, a rhombus can never be a square but it is close to being a square as:

Rhombus has all its sides equal.

Whereas, a square has all its sides equal but has all angles equal to each other and they are always 90 degree each.

Answer 5

when all the angles of a rhombus are equal, then it is a square...

you're statement is false

Answer 6

False.

A rhombus is a square when it has right angles.

Answer 7

Are you messing with my head? LOL

Yes, a rhombus is never a square.