are consecutive angles congruent in a parallelogram?
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THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite angles congruent. THEOREM: If a quadrilateral is a parallelogram, it has consecutive angles which are supplementary. ... 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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Properties of a Parallelogram and Distance Formula: The properties of a parallelogram are: (i) The sum of all the angles of a parallelogram is always equal to 360o . (ii) The sum of any two consecutive angles of a parallelogram is 180o . (iii) The opposite angles of a parallelogram are also the same.
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In a parallelogram, opposite sides are parallel and congruent. In a parallelogram, diagonals bisect each other. (THEOREM): Both pairs of opposite sides are parallel and congruent.
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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. ... A rectangle is a parallelogram with four right angles.
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Properties of a Parallelogram The parallelogram's opposite angles are congruent to each other and its consecutive angles are supplementary to each other. The parallelogram's diagonals AC and BD bisect each other and its diagonals form two congruent triangles.
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On a rectangle, consecutive angles are not supplementary. On a rectangle, diagonals bisect each other. On a rhombus, all four sides are congruent. On a rhombus, diagonals are not perpendicular.
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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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A rectangle is a parallelogram, so its opposite angles are congruent and its consecutive angles are supplementary.
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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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Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex. ... Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.
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All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary). All sides are congruent by definition. The diagonals bisect the angles.
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If a parallelogram is a rectangle, then the diagonals are congruent. SOLUTION: A rectangle is a parallelogram with four right angles, opposite sides parallel, opposite sides congruent, opposite angles congruent, consecutive angles are supplementary, and the diagonals bisect each other. The statement is true.
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Rectangles. A rectangle is a parallelogram that has a right angle. ... A rectangle is a parallelogram, so its opposite angles are congruent and its consecutive angles are supplementary.
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All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other). All angles are right angles by definition. The diagonals are congruent.
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Prove that opposite sides of a parallelogram are congruent. ... By the same token, segment AB is parallel to segment DC according to the definition of a parallelogram. Line AC is a transversal for segment BC and segment AD. This transversal creates alternate interior angles 1 and 4 which are equal as shown below.
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Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other. Each diagonal of a parallelogram separates it into two congruent triangles.
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The rhombus has the following properties: All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary). All sides are congruent by definition. The diagonals bisect the angles. Opposite sides are parallel.