does a parallelogram have 4 sides of equal length?
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Rhombus – A parallelogram with four sides of equal length. Square – A parallelogram with four sides of equal length and angles of equal size (right angles).
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A parallelogram is a quadrilateral with two pairs of opposite (facing) sides that are equal length and parallel. The opposite angles are equal. A rhombus is a parallelogram with sides that are all equal lengths.
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Two adjacent sides of a parallelogram are of length 15 cm and 18 cm, If the distance between two smaller sides is. 1). A parallelogram ABCD has sides AB = 24 cm and AD = 16 cm. The distance between the sides AB and DC is 10 cm.
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The diagonals bisect each other. One pair of opposite sides is parallel and equal in length. ... The sum of the squares of the sides equals the sum of the squares of the diagonals. (This is the parallelogram law.)
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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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Theorem 2. In a parallelogram, opposite angles are equal. Conversely, if the opposite angles in a quadrilateral are equal, then it is a parallelogram.
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Consecutive angles of a parallelogram are congruent. Diagonals of a parallelogram bisect each other. The four angles of a rhombus are right angles.
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A square is a parallelogram. This is always true. Â Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Parallelograms are quadrilaterals with two sets of parallel sides.
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Explanation: A Quadrilateral is only a 4 sided figure & has no specific features, whereas a Parallelogram is a 4 sided figure with opposite sides parallel and equal, opposite angles equal and adjacent angles in a linear pair. A Quadrilateral is not a Parallelogram. A Parallelogram is a Quadrilateral.
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In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
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Parallelogram Area via Two Sides and Included Angle - Expii. The area A of a parallelogram, given two adjacent sides a, b and the angle C between them, is twice the area of the corresponding triangle. So A = ab sin(C).
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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. The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.
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Theorem 1: In a parallelogram, the opposite sides are of equal length. Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram. Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other.
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A quadrilateral is a parallelogram if each pair of opposite sides are equal. Proof: In ∆PQR and ∆RSP, PQ = SR, QR = SP (given) and PR is the common side. Hence, PQRS is a parallelogram.
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Yes if diagonals of a parallelogram are equal then it is a rectangle. Let PQRS be a parallelogram. To show that PQRS is a rectangle, we have to prove that one of its interior angles is 90º.
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If the diagonals AC and BD of a quadrilateral ABCD intersect O and separate the quadrilateral in four triangle are equal, can you prove ABCD is a parallelogram? Given that all triangles formed by diagonals of the quadrilateral are equal. ... We proved that diagonals of ABCD bisect each other. => ABCD is 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.