are the opposite sides of a trapezium parallel?
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In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length (properties shared with the parallelogram). The diagonals are also of equal length.
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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.
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In a parallelogram, opposite sides are parallel and congruent. In a parallelogram, diagonals bisect each other. (THEOREM): Both pairs of opposite sides are parallel and congruent.
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Opposite sides of an isosceles trapezoid are the same length (congruent). The angles on either side of the bases are the same size/measure (congruent).
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The opposite angles of a parallelogram are equal (and conversely: if the opposite angles of a quadrilateral are equal, it is a parallelogram). ... If one pair of opposite sides of a quadrilateral is equal and parallel, then the quadrilateral is a parallelogram.
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If the length of the parallel sides of the trapezium are 𝑙 one and 𝑙 two and the perpendicular distance between them is ℎ, then the area of the trapezium is given by one-half multiplied by ℎ multiplied by the sum of 𝑙 one and 𝑙 two.
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A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. ... Kites have two pairs of adjacent sides that are equal.
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Parallelograms: The Two Pairs of Opposite Angles are Congruent. A parallelogram is defined as a quadrilateral where the two opposite sides are parallel. One of the properties of parallelograms is that the opposite angles are congruent, as we will now show.
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The Rectangle Also opposite sides are parallel and of equal length.
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It is known that both the rhombus and the parallelogram are considered as the quadrilateral as they have four sides. The opposite faces of a parallelogram are parallel so that the opposite angles of the shape are also equal. But in rhombus, all the four sides are of equal measure.
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Other properties. Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.
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Trapezoids: Adjacent angles are Supplementary. In a trapezoid, the two angles that are on the same leg (one on the top base, one on the bottom base) are called 'adjacent angles'. These adjacent angles are supplementary, which means their measures sum up to 180°, as we will now show.
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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. If we have a quadrilateral where one pair and only one pair of sides are parallel then we have what is called a trapezoid.
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['Rectangle. Opposite sides are parallel and equal. ... ', 'Square. Opposite sides are parallel and all sides are equal. ... ', 'Parallelogram. Opposite sides are parallel and equal. ... ', 'Rhombus. All sides are equal and opposite sides are parallel. ... ', 'Trapezium. ... ', 'Kite.']
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A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid. Carlos says, No - a trapezoid can have only one pair of parallel sides.
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Special Quadrilaterals A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. 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.
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A trapezium or trapezoid prism has 6 faces. Two faces are trapezoids and four faces are rectangles. It has 8 vertices and 12 edges.