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No. A quadrilateral is a parallelogram when consecutiveangles are supplementary.
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Yes, it is true that if all pairs of consecutive angles of a quadrilateral are supplementary, then the quadrilateral is a parallelogram. This is because the property of supplementary consecutive angles implies that each pair of opposite angles are equal, which is a defining characteristic of parallelograms. Thus, the quadrilateral satisfies the conditions necessary to be classified as a parallelogram.
If every pair of consecutive angles of a quadrilateral is supplementary, it means that the sum of each pair of adjacent angles equals 180 degrees. This implies that the opposite angles are equal, as each pair of opposite angles can be expressed as the sum of two supplementary pairs. According to the properties of quadrilaterals, if the opposite angles are equal, the quadrilateral must indeed be a parallelogram. Therefore, the condition guarantees that the quadrilateral is a parallelogram.
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its true this is a statement..... Is there a question attached
If a quadrilateral has two pairs of opposite congruent sides, then the quadrilateral is a parallelogram.
False. If both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram.
A quadrilateral is a polygon with four sides. A parallelogram is a quadrilateral in which the opposite sides are parallel.
Yes, if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is indeed a parallelogram. This is one of the properties that define parallelograms: if a quadrilateral has two pairs of sides that are equal in length, it ensures that the opposite sides are parallel. Thus, the statement is true based on the properties of quadrilaterals.