1. opposite sides of a parallelogram are congruent?
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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.
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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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If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If — AB ≅ — CD and — BC ≅ — DA , then ABCD is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
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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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All four sides of a rhombus are congruent. Its properties include that each pair of opposite sides is parallel, also making it a parallelogram. In summary, all squares are rectangles, but not all rectangles are squares. All rectangles are parallelograms, but not all parallelograms are rectangles.
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All four sides of a rhombus are congruent. Its properties include that each pair of opposite sides is parallel, also making it a parallelogram. ... All rectangles are parallelograms, but not all parallelograms are rectangles. And all of these shapes are quadrilaterals.
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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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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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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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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. ... All rectangles are parallelograms, but not all parallelograms are rectangles.
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Opposite sides are parallel to each other. The diagonals are congruent. The diagonals are perpendicular to and bisect each other. A square is a special type of parallelogram whose all angles and sides are equal.
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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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A parallelogram is a quadrilateral with opposite sides that are parallel and congruent. Congruent means exactly the same. In this case, a parallelogram has opposite sides that are parallel and congruent meaning that they have the same length.
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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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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 1. In a parallelogram, opposite sides are equal. Conversely, if the opposite sides in a quadrilateral are equal, then it is a parallelogram.
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If the diagonals of a parallelogram are congruent then the parallelogram is a rectangle. if a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles. ... if one pair of consecutive sides of a paralleloram are congruent, the parallelogram is a rhombus.