Well, this is a question that you can argue on. It all depends on how you divide the rhombus. There can be a triangle and a trapezoid. There can also be two triangles. The last one that I can think of right now are two rhombuses inside the original rhombus.
There are a great many different shapes that are in Geometry. There are squares, circles, triangles, rhombus', and hexagons for example.
A Rhombus. If it makes two equilateral triangles with a diagonal, the shape must have all four sides of equal length; thus it is a rhombus, possibly a square. As an equilateral triangle is made, the angle between two of the sides is 60o; which is not 90o, so it can't be a square, so it must be a rhombus.
The answer is no. It is true of triangles, but not necessarily of other polygons. A good counterexample is the Rhombus. You can define a Rhombus as a quadrilateral with 4 congruent ( equal) sides. However, only the opposite angles are equiangular, not all 4 angles. Picture, if you will, a very elongated Rhombus to easily see this. The only equiangular Rhombus is the Square. Many regular polygons are equiangular but not all.
No. But all isosceles triangles and equilateral triangles are.
Three I think but I'm not 100% sure. :-)
Two equilateral triangles can form a rhombus- it can also be formed by using a higher number of isosceles triangles.
No. A rhombus has all four sides of equal length. To split a rhombus into only 2 triangles, it must be split along a diagonal; which means that 2 of the sides of one of the triangles must be the same length as the sides of the rhombus, which being equal mean the triangles must be (at least) isosceles - scalene triangles will not work. Further, as the diagonal will be a common length to each of the triangles (the length of their third sides), it will form the base (ie the side opposite the vertex between the sides of equal length) of the isosceles triangles, and so the triangles must be to congruent isosceles triangles. If the diagonal has the same length as the side of the rhombus, then the two congruent triangles will be congruent equilateral triangles.
No. A rhombus has all four sides of equal length. To split a rhombus into only 2 triangles, it must be split along a diagonal; which means that 2 of the sides of one of the triangles must be the same length as the sides of the rhombus, which being equal mean the triangles must be (at least) isosceles - scalene triangles will not work. Further, as the diagonal will be a common length to each of the triangles (the length of their third sides), it will form the base (ie the side opposite the vertex between the sides of equal length) of the isosceles triangles, and so the triangles must be to congruent isosceles triangles. If the diagonal has the same length as the side of the rhombus, then the two congruent triangles will be congruent equilateral triangles.
A rhombus if it has no right triangles, and a square if all the angles are right. The basic answer is a rhombus or square.
No - a rhombus has four sides, while a triangle has three.
Well, this is a question that you can argue on. It all depends on how you divide the rhombus. There can be a triangle and a trapezoid. There can also be two triangles. The last one that I can think of right now are two rhombuses inside the original rhombus.
You can make a square, a rhombus, a parrallelogram, a kite, a rectangle, and a trapezoid. If you were to make all these shapes out of two triangles, you would have to have different sized triangles for most of them. If you put the bottoms of both of them together, it will make a diamond shape. But they would have to be the same size.
There are a great many different shapes that are in Geometry. There are squares, circles, triangles, rhombus', and hexagons for example.
If they are all congruent, a bigger rhombus
A Rhombus. If it makes two equilateral triangles with a diagonal, the shape must have all four sides of equal length; thus it is a rhombus, possibly a square. As an equilateral triangle is made, the angle between two of the sides is 60o; which is not 90o, so it can't be a square, so it must be a rhombus.
Oh, absolutely! You can create a rhombus using tangram pieces by combining a large triangle and a parallelogram piece together. Place the parallelogram on top of the triangle with one of its longer sides aligned with the base of the triangle. This will form a lovely rhombus shape that showcases the beauty of geometry and creativity. Just remember, there are no mistakes in tangrams, only happy little accidents!