opposite sides of parallelogram are equal or not?
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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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Opposite sides are equal in length. The two diagonals are equal in length. It has two lines of reflectional symmetry and rotational symmetry of order 2 (through 180°).
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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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Diagonal of Parallelogram Formula A parallelogram is a quadrilateral whose opposite sides are parallel and equal. The opposite sides being parallel and equal, forms equal angles on the opposite sides. Diagonals of a parallelogram are the segments which connect the opposite corners of the figure.
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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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The diagonals of a parallelogram bisect each other (and conversely: if the diagonals of a quadrilateral bisect each other, 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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A simple (non-self-intersecting) quadrilateral is a parallelogram if and only if any one of the following statements is true: Two pairs of opposite sides are parallel (by definition). Two pairs of opposite sides are equal in length.
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In a parallelogram, opposite sides are equal. If adjacent sides are also equal, then we have a parallelogram with all four sides equal. Such a parallelogram is then called a rhombus. Hence, a parallelogram in which adjacent sides are equal is a rhombus.
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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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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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If adjacent sides of a parallelogram are equal, then the parallelogram is a rhombus. In a rhombus, the diagonals bisect each other and are perpendicular to each other.
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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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The Parallelogram 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 parallelogram has many interesting properties. Its opposite sides, in addition to being parallel, are congruent. The opposite angles of a parallelogram are also congruent.
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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 diagonals which bisect each other, then it is a parallelogram. * THEOREM: If a quadrilateral has one set of opposite sides which are both congruent and parallel, then it is a parallelogram.
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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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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.