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Very clever question! The answer is yes, they can. A square is, in fact, a rhombus. It's a special case of one. A rhombus is a quadrilateral with four equal sides. A square fits that description except it also has four equal angles. So, if you have two identical squares, you can actually say that you have a rhombus that is congruent to a square! I hope your teacher didn't mark you wrong if you answered "no." If, however, you have two figures, one a square and the other a rhombus with one pair of obtuse angles and one pair of acute angles, then the answer is no.
Rhombus:
Rhombus is a quadrilateral with four equal sides.
Square:
Square is a quadrilateral with four equal sides and angle between the adjacent sides are 90o exactly.
This implies that square is always a rhombus.
But a rhombus need not be a square always.
A rhombus can be a square if the angles between the adjacent sides are 90o exactly.
So, a rhombus and square can be congruent if their sides are equal and the angle between the adjacent sides of a rhombus are 90o exactly. Source: www.icoachmath.com
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What is a quadrilateral with four congruent sides?
A square. Parallelogram * * * * * No. It is a rhombus and a square is a special case of a rhombus. A parallelogram does not have four congruent sides, but two pairs of sides that are congruent to one another.
Can all the squares and rhombus always be congruent?
Squares and rhombuses can be congruent, but not always. If the rhombus is also a square, it is congruent to a square with the same dimensions. However, since a rhombus only demands for OPPOSITE angles to be congruent, and a square means ALL angles are 90 degrees, this is not always the case.
What has 4 congruent sides?
A square or a rhombus.
What are the properties of a square that are not properties of a rhombus?
A square has 4 congruent sides and 4 congruent angles
Which two figures always have four congruent sides?
a square and a rhombus
Are the diagonals of a rhombus ever congruent?
Yes, if they are a square.
Is a square and rhombus that are congruent?
No they are not.
What is a parallelogram in which all sides are congruent?
A square or a rhombus. A rhombus does not have 4 congruent angles as a square does. It's always a rhombus. And, depending on the angles, it could also be a square. (This definition treats the square as a special case of the rhombus.)
What is a quadrilateral with four congruent sides?
A square. Parallelogram * * * * * No. It is a rhombus and a square is a special case of a rhombus. A parallelogram does not have four congruent sides, but two pairs of sides that are congruent to one another.
Does a A rhombus has 4 congruent sides but a square does not always have 4 congruent sides?
A square and a rhombus both have 4 congruent sides but their interior angles are different
What type of quadrilateral has 4 congruent angles and 4 congruent sides?
A square, but not a rhombus because a rhombus does not have four congruent angles
Can you draw a rhombus with congruent sides and angles?
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".
Quadrilaterals with four congruent sides?
That's a rhombus.
What do congruent line segments and congruent angles form?
a square or rhombus
Can all the squares and rhombus always be congruent?
Squares and rhombuses can be congruent, but not always. If the rhombus is also a square, it is congruent to a square with the same dimensions. However, since a rhombus only demands for OPPOSITE angles to be congruent, and a square means ALL angles are 90 degrees, this is not always the case.
What has 4 congruent sides?
A square or a rhombus.
Can you draw a Square and a rhombus that are congruent?
No, you cannot.
