the opposite sides of a parallelogram are is?
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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.
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The opposite sides of a parallelogram are equal. ABCD is a parallelogram. To prove that AB = CD and AD = BC.
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Muxakara and 23 others learned from this answer. A parallelogram, by definition, is a regular quadrilateral with two pairs of equal parallel sides. It also follows that the two opposite angles and opposite sides are equal.
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The opposite sides of a parallelogram are equal. ABCD is a parallelogram. To prove that AB = CD and AD = BC. ... Hence AB = CD and BC = AD (matching sides of congruent triangles).
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Then ABCD is a parallelogram because its diagonals bisect each other. The square on each diagonal is the sum of the squares on any two adjacent sides. Since opposite sides are equal in length, the squares on both diagonals are the same. ... Because ABCD is a parallelogram, its opposite sides are equal.
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In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
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DEFINITION: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite sides congruent. ... THEOREM: If a quadrilateral has 2 sets of opposite angles congruent, then it is a parallelogram.
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If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram. ... If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. If — BD and — AC bisect each other, then ABCD is a parallelogram.
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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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DEFINITION: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. ... THEOREM: If a quadrilateral has consecutive angles which are supplementary, then it is a parallelogram. THEOREM: If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.
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A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel . ... Opposite sides are congruent; Adjacent angles are supplementary; The diagonals bisect each other.
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Theorem 2. In a parallelogram, opposite angles are equal. Conversely, if the opposite angles in a quadrilateral are equal, then it is a parallelogram.
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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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Theorem 47: If both pairs of opposite angles of a quadrilateral are equal, then it is a parallelogram. ... Theorem 49: If one pair of opposite sides of a quadrilateral is both equal and parallel, then it is a parallelogram. Theorem 50: If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
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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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Opposite sides are parallel to each other. The diagonals are congruent. The diagonals are perpendicular to and bisect each other. ... Also, a parallelogram becomes a square when the diagonals are equal and right bisectors of each other.
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The opposite angles of a parallelogram are congruent. The consecutive angles are supplementary.