Look at the following rhombus:
Can a rhombus have diagonals that are equal?
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Look at the following rhombus:
Can a rhombus have diagonals that are equal?
To solve this problem, let's review the properties of a rhombus:
However, there is a special case of a rhombus where the diagonals are equal, and this is when the rhombus is a square.
A square is a specific type of rhombus where not only are all sides equal, but also all internal angles are 90 degrees. In such a case, the diagonals are equal, and they also bisect each other at right angles. Therefore, in a square, which is a rhombus, the diagonals are equal.
Therefore, in conclusion, a rhombus can have diagonals that are equal if it is a square.
The correct answer to the problem is: Yes.
Yes.
Look at the following rhombus:
Are the diagonals of the rhombus parallel?
A rhombus has all equal sides but can have any angle measurements. A square is a special rhombus where all angles are exactly 90°. This makes the square have equal diagonals too!
Yes! If the rhombus looks like a perfect square with right angles at each corner, then the diagonals are equal. If it looks stretched or slanted, the diagonals are different lengths.
Absolutely! Most rhombuses are not squares. Think of a diamond shape - it has equal sides but is stretched vertically, so its diagonals are different lengths.
The 90° angles in a square create perfect symmetry. When you draw diagonals in a square, they form identical right triangles, making the diagonals equal. Other rhombuses don't have this symmetry.
Yes! Every square is a special type of rhombus. Think of it like this: all squares are rhombuses, but not all rhombuses are squares. The square just has the extra property of 90° angles.
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