are opposite sides on a parallelogram equal?
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A parallelogram is a quadrilateral whose opposite sides are parallel. The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal. The diagonals of a parallelogram bisect each other.
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THEOREM: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram. THEOREM: If a quadrilateral has 2 sets of opposite angles congruent, then it is a parallelogram.
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On a basic parallelogram, opposite sides are not congruent. On a basic parallelogram, consecutive angles are supplementary. On a basic parallelogram, consecutive angles are congruent. On a basic parallelogram, diagonals bisect each other.
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['The opposite angles of a parallelogram are equal.', 'The opposite sides of a parallelogram are equal.', 'The diagonals of a parallelogram bisect each other.']
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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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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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Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
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All sides of a rhombus are congruent, so opposite sides are congruent, which is one of the properties of a parallelogram. ... The same can be done for the other two sides, and know we know that opposite sides are parallel. Therefore, a rhombus is a parallelogram.
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In a quadrilateral ABCD, if one pair of opposite sides is equal and parallel, then it is a parallelogram.
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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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Opposite Angles Are Congruent The angles opposite of each other will have the same measurement. It's common for a parallelogram to have two acute angles and two obtuse angles.
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A parallelogram is a quadrilateral whose opposite sides are parallel. The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal.
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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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If a quadrilateral is a parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its opposite angles are congruent. If a quadrilateral is a parallelogram, then its diagonals bisect each other.
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A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal). A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.
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No, as a general rule the diagonals of a parallelogram do not bisect each other at right angles. The definition of a parallelogram is a four-sided polygon with opposite sides parallel and equal in length. ... For all parallelograms that are not squares, the diagonals do not intersect at right angles.
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If the opposite angles of a quadrilateral are equal, then the quadrilateral is a parallelogram. ... This test is the converse of the property that the opposite sides of a parallelogram are equal. Theorem. If the opposite sides of a (convex) quadrilateral are equal, then the quadrilateral is a parallelogram.