quadrilateral opposite sides are congruent?
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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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DEFINITION: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. 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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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 (and conversely: if the opposite sides of a quadrilateral are equal, it is a parallelogram). The opposite angles of a parallelogram are equal (and conversely: if the opposite angles of a quadrilateral are equal, it is a parallelogram).
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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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A quadrilateral is a parallelogram if: its opposite angles are equal, or. its opposite sides are equal, or. one pair of opposite sides are equal and parallel, or.
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Therefore, according to the side-side-side property of triangles, these are congruent. Therefore, the corresponding angles would be equal. ... Thus, the opposite angles in a rhombus are equal.
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First, we must show that quadrilateral ABCD is a parallelogram. Since each pair of opposite sides of the quadrilateral have the same measure, they are congruent. ... Since the diagonals are congruent, ABCD is a rectangle by Theorem 6.14.
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THEOREM: If a quadrilateral is an isosceles trapezoid, the opposite angles are supplementary. ... THEOREM: If a quadrilateral is a kite, it has one pair of opposite angles congruent. THEOREM: If a quadrilateral is a kite, it has one diagonal forming two isosceles triangles.
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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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Since opposite sides are equal in length, the squares on both diagonals are the same. We have already proven that a quadrilateral whose diagonals bisect each other is a parallelogram. Because ABCD is a parallelogram, its opposite sides are equal. (matching angles of congruent triangles).
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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 is a parallelogram, it has 2 sets of opposite angles 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 2 sets of opposite angles congruent, then it is a parallelogram. THEOREM: If a quadrilateral has consecutive angles which are supplementary, then it is a parallelogram.
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Opposite Angles Are Congruent The angles that are opposite of each other are also 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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Yes, if both pairs of opposite angles are congruent, then you have a parallelogram. These are all sufficient conditions to have a parallelogram.
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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 is a parallelogram, it has 2 sets of opposite angles congruent.
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If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.