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Is a square a rhombus?

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Quick Answer

A rhombus is an equilateral parallelogram, which is a two-dimensional, four-sided figure in which opposite sides are parallel and all sides have equal length. A square fits this definition. However, it is usually considered a special case, and some definitions of a rhombus specify that squares are not included.

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Is a square a rhombus?
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Full Answer

Without a specific exclusion, a square qualifies not just as a rhombus but also as a specific type of rectangle, since it is a four-sided figure with four congruent, 90-degree angles. In fact, squares, rectangles and rhombuses can all be considered specific types of parallelograms. However, even if all squares are rhombuses, not all rhombuses are squares.

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Related Questions

  • Q:

    How is a rhombus similar to a square?

    A:

    A rhombus is similar to a square in two ways: both have two pairs of parallel sides and both have four equal sides. A rhombus is different from a square because it does not have four right angles. All squares are also rhombuses.

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  • Q:

    What is the difference between a parallelogram and a rhombus?

    A:

    The difference between a parallelogram and a rhombus is that a parallelogram is a quadrilateral whose opposite sides are parallel to one another regardless of how many sides the figure has, and a rhombus is a parallelogram that has four sides with two opposites sides that are equal to one another. When all sides of the parallelogram are equal but have angles that are not equal to 90 degrees, it is also called a rhombus.

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  • Q:

    Is a rhombus a parallelogram?

    A:

    A rhombus is a four-sided figure with opposite sides parallel, making it a parallelogram. The rhombus differs from other parallelograms in that all four sides are equal in length.

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  • Q:

    Is a square always a rhombus?

    A:

    A square is always a rhombus; it is a special kind of rhombus where all four corners are right angles. A rhombus is a two-dimensional geometric shape with four equal-length, straight sides.

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