is the rhombus a parallelogram?
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A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same). NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!
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A Rhombus is a flat shape with 4 equal straight sides. Opposite sides are parallel, and opposite angles are equal (it is a Parallelogram). And the diagonals "p" and "q" of a rhombus bisect each other at right angles.
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If two adjacent sides of a parallelogram are equal, then it is a rhombus. This test is often taken as the definition of a rhombus. A quadrilateral whose diagonals bisect each other at right angles is a rhombus.
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A quadrilateral is a rhombus if: it is a parallelogram, and a pair of adjacent sides are equal, its diagonals bisect each other at right angles, its diagonals bisect each vertex angle.
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Problem 2: A rectangle is sometimes a square. The diagonals of a parallelogram are sometimes congruent. The diagonals of a rhombus are always perpendicular. The consecutive angles of a parallelogram are never complementary.
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In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. ... A rhombus with right angles is a square.
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It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal. It is also a rectangle and a parallelogram. A rhombus is defined as a parallelogram with four equal sides.
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Parallelogram. A Parallelogram is a flat shape with opposite sides parallel and equal in length. Angles "a" and "b" add up to 180°, so they are supplementary angles. NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!
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Another quadrilateral that you might see is called a rhombus. All four sides of a rhombus are congruent. Its properties include that each pair of opposite sides is parallel, also making it a parallelogram.
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In general, any quadrilateral with perpendicular diagonals, one of which is a line of symmetry, is a kite. Every rhombus is a kite, and any quadrilateral that is both a kite and parallelogram is a rhombus. A rhombus is a tangential quadrilateral. That is, it has an inscribed circle that is tangent to all four sides.
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One special kind of polygons is called a parallelogram. It is a quadrilateral where both pairs of opposite sides are parallel. If we have a parallelogram where all sides are congruent then we have what is called a rhombus. The properties of parallelograms can be applied on rhombi.
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A parallelogram is a quadrilateral with two pairs of opposite (facing) sides that are equal length and parallel. The opposite angles are equal. A rhombus is a parallelogram with sides that are all equal lengths.
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No, a trapezoid is its only family. The reason it's not considered a parallelogram is because a parallelogram has to have 2 pairs of opposite parallel sides, a trapezoid only has one. No. A parallelogram is defined as a quadrilateral (4-sided polygon) with both pairs of opposite sides parallel.
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A rhombus is a quadrilateral with all sides equal in length. A square is a quadrilateral with all sides equal in length and all interior angles right angles. Thus a rhombus is not a square unless the angles are all right angles. ... A square however is a rhombus since all four of its sides are of the same length.
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If the diagonals of a parallelogram are both perpendicular and congruent, then the special quadrilateral is rhombus. A Rhombus is a flat shape having for equal sides. A rhombus looks like a diamond, where both sides have the same length. The opposite sides are identical, and the angles opposite are equal.
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In Parallelogram B, we see that there are four right angles and that the pairs of opposite sides are congruent. However, consecutive sides are not congruent, so we can eliminate rhombuses and squares from our options. Thus, Parallelogram B is a rectangle.
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Parallelogram: a quadrilateral with two pairs of parallel sides. Equivalent conditions are that opposite sides are of equal length; that opposite angles are equal; or that the diagonals bisect each other. ... Rhombus or rhomb: all four sides are of equal length.