can a square be a rhombus?
549388
Yes.\nAny square is a rhombus.\nSome rhombuses are squares (the ones that have all angles of 90 degrees).
1151541
This is impossible:\nProof. Let the area of each identical square equal n^2 (so each side is n). Since the large square is has 3 of these pieces, its area is 3n^2. Thus, each of its side is sqrt(3)n. However, you can never divide the square to do this (since sqrt(3) is irrational).
243764
im a geo student, but i havent done proofs for a long time sorry. ok\n2. false, because squares are parallelograms with 4 congruent sides and 4 right angles, while kites have 2 pairs of congruent sides and only 1 pair of congruent angles that are NOT right angles\n3. false, because a rhombus is a parallelogram with 4 congruent sides, while a kite is any thing BUT a parallelogram. enuff said\n4. false, because kites are quadrilaterals with only two pairs of congruent sides, while the quadrilateral mentioned has 3 congruent sides\n5. false, for example- do trapezoids have 4 congruent sides, and 4 right angles, and is a parallelogram (characteristic of squares)? i think NOT\n6. read above- trapezoids are not parallelograms.
774873
False for all quadrilaterals.\nBut all squares and isosceles trapezoids can be inscribed in a circle.
273992
A basic diamond-shaped kite satisfies the mathematical properties of a rhombus.
624413
yep\n\n*** Edit - for you idiot types, if a quadrangle has four sides that are not congruent, then it is NOT a square. A square has 4 right angles and 4 sides of equal length, ALWAYS.
1021945
The first five squares are easy:\n1, 4, 9, 16, 25.\n\nRectangular:\n2, 6, 12, 20, 30\n\nTriangular:\n1, 3, 6, 10, 15\n\nPentagonals are:\n1, 5, 12, 22, 35
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If a rhombus is inscribed in a circle, then the rhombus is a square.  (Remember that a square is a rectangle with congruent sides, or a rhombus with congruent angles.)\n\nIf a trapezoid is inscribed in a circle, then the trapezoid is an isosceles trapezoid.
332611
No - if a trapezoid has 3 congruent sides, the fourth side will also have to be congruent in order for you to close the shape.  In this case, your trapezoid will be a square.\n\nBy definition, a trapezoid has to have one pair of opposite sides that are parallel.  If you try to construct a trapezoid with three congruent sides, the fourth side will have to be the same length - try it with pencils or popsicle sticks to see.  If you do, remember, one pair of sides HAS to be parallel.\n\nA trapezoid can have 2 congruent sides - as long as they are adjacent (i.e. a side and a top).  If the opposite sides are congruent, then you'll end up with a parallelogram.
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I used to be a square but I'm all _right_ now :-)\n\nSeriously, you should do your own homework.
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An equilateral parallelogram:  Rhombus\nAn equilateral and equiangular parallelogram:  Square
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square-ish in shape\ncome in different sizes\nmany varieties
166521
Yes it is; and let us see how:\n\n(a+b)square = (a+b) x (a+b)\n= a x a + a x b + b x a + b x b\n= a x a + a x b + a x b + b x b\n= a square + 2ab + b square\n\nsimple, isnt it?
751528
Yes.  For example, take the two from the top left corner, and the two from the bottom right corner, and make a new square touching the top right corner.\n\n\nAAAA BBBBB\nC.........D..........E\nC.........D..........E\nC.........D..........E\nFFFFFF GGGG\nH.........I............J\nH.........I............J\nH.........I............J\nKKKKK LLLLL\n\nbecomes\n . . . . . . . . . . . . . AAAA\n . . . . . . . . . . . . .C . . . . J\n . . . . . . . . . . . . .C . . . . J\n . . . . . . . . . . . . .C . . . . J\n. . . . . . .BBBBB LLLLL\n. .........D..........E\n. .........D..........E\n. .........D..........E\nFFFFFF GGGG\nH.........I\nH.........I\nH.........I\nKKKKK
263560
False, a square is a regular polygon.  Say each side is 4 units long.  Use the pythagorean theorem to solve for the diagonal.  So 4^2+4^2=x^2, or the square root of 32 which is between 5 and 6.  The diagonal would have to be about 5.7 (mental math) which is not 4.
153846
A square is a quadrilateral (4-sided polygon) with sides of equal length, all joined at 90-degree (also called "right") angles to each other.\n\nSince the square has area, it is definitely the area within the lines that constitutes the square, not the lines themselves.
328495
now, if you add that it has 4 sides and all right angles, you probably can pass that off as the definition of a rectangle.\n\notherwise you just have a parallelogram.