are the opposite angles of a parallelogram congruent?
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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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['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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The diagonals of a parallelogram are sometimes congruent. The diagonals of a rhombus are always perpendicular. The consecutive angles of a parallelogram are never complementary. A square is always a rhombus.
188533
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.
60111
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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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.
535272
For the quadrilateral PQRS to be a parallelogram, the opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. Let's take each statement one by one. (1) Adjacent sides PQ and QR have the same length. The opposite sides may or may not be equal.
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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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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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If the measures of two angles of a quadrilateral are equal, then the quadrilateral is sometimes a parallelogram. 3. If one pair of opposite sides of a quadrilateral is congruent and parallel, then the quadrilateral is always a parallelogram.
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If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram. If — BC — AD and — BC ≅ — AD , then ABCD is a parallelogram. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
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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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Identify each parallelogram as a rectangle, rhombus, or a square. Answer: ... In Parallelogram B, we see that there are four right angles and that the pairs of opposite sides are congruent. However, consecutive sides are not congruent, so we can eliminate rhombuses and squares from our options.
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If the opposite sides of a (convex) quadrilateral are equal, then the quadrilateral is a parallelogram. Prove this result using congruence in the figure to the right, where the diagonal AC has been joined.
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When a parallelogram is divided into two triangles we get to see that the angles across the common side( here the diagonal) are equal. This proves that the opposite angles in a parallelogram are also equal. ... The diagonals of a parallelogram are not of equal length.
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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.