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Do all rhombus have 2 sets of parallel sides?
Two parallel sides is part of the definition for a rhombus.
Can a rhombus be a trapezoid?
The answer depends on which definition of trapezoid (or trapezium, outside of North America) is used.Some mathematicians define a trapezoid as any four-sided figure with at least one pair of parallel sides. Using that definition, a rhombus is a special type of trapezoid because a rhombus is a figure with two sets of parallel sides.Others are more strict, using the name trapezoid only for four-sided figures with exactly one pair of parallel sides. By this definition a rhombus is not a trapezoid.
Why is a parallelogram is not necessarily a rhombus?
The definition of a parallelogram is that it has four sides, the opposite sides are congruent and parallel, and opposite angles are congruent. This includes rectangles, squares, rhombuses, etc.The definition of a rhombus states that it is a parallelogram, but more specifically that all sides are congruent.So a rhombus is a parallelogram, but not all parallelograms are rhombuses.
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 good definition for the word rhombus?
A rhombus is an oblique-angled equilateral parallelogram, but not a square. Explanation: Oblique-angled means that there can be no perpendicular angles like in a square.
