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Which of the following is not a sufficient condition for concluding a quadrilateral is a parallelogram?
at least one pair of opposite sides is parallel
What else can I help you with?
Which description does not guarantee that a quadrilateral is a parallelogram?
A description that states a quadrilateral has one pair of opposite sides that are both equal and parallel does not guarantee that it is a parallelogram. While this condition is sufficient for proving that a quadrilateral is a parallelogram, it is not necessary; other configurations might exist where a quadrilateral meets this condition without being a parallelogram. Other descriptions, such as having both pairs of opposite sides equal or both pairs of opposite angles equal, would guarantee it is a parallelogram.
Condition which garanty that a quadrilateral is parallelogram?
The condition for being a parallelogram is that both pairs of opposite sides must be parallel.The condition for being a parallelogram is that both pairs of opposite sides must be parallel.The condition for being a parallelogram is that both pairs of opposite sides must be parallel.The condition for being a parallelogram is that both pairs of opposite sides must be parallel.
Which condition is sufficient to show that a quadrilateral is a trapezoid?
That it has 4 sides and a pair of parallel sides of different lengths
Is every square cyclic?
Yes. The sum of opposite angles is 180 degrees and that is a necessary and sufficient condition for a quadrilateral to be cyclic.
Can a quadrilateral abcd be aparallelogram if angle d plus angle b equals 180?
Yes, a quadrilateral ABCD can be a parallelogram if angle D plus angle B equals 180 degrees. In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (their sum equals 180 degrees). Therefore, if angle D and angle B are supplementary, it is consistent with the properties of a parallelogram. Thus, the condition does not contradict the definition of a parallelogram.
How are squares and rectangles paraellograms?
A parallelogram is any quadrilateral in which both sets of opposite sides are parallel, or will never intersect. Squares and rectangles (both quadrilaterals) satisfy that condition, and so would rhombus.
Can a trapezoid be a rectangle and why?
NO. A trapezoid cannot be a rectangle. If a parallelogram has one right angle then it is a rectangle. A trapezoid doesn't satisfy this condition because a trapezoid is a quadrilateral with exactly one parallel side which means that it doesn't have a right angle.
What condition would a parallelogram also be a rectangle?
A rectangle is a parallelogram where all internal angles are equal at 90°
Is a square a special type of parallelogram?
Yes, a square is a special type of parallelogram. Every square has two pairs of parallel sides, which is the condition for being a parallelogram.
A quadrilateral with 4 congruent sides and 2 distinct pairs of congruent angles?
The quadrilateral described is a rhombus. A rhombus has all four sides of equal length and opposite angles that are congruent, with adjacent angles being supplementary. This means it can have two distinct pairs of congruent angles, satisfying the condition mentioned. Additionally, a rhombus can be considered a special type of parallelogram.
Are all rectanglers parallelogram?
No, none of rectange is parallelogram, as to a polygon has to be parallelogram when it follows following conditions: It must have 4 sides, and the oppostie side have to parallel to each other. As no triangle fulfill this condition so no triangle is parallelogram.
What do you call a 2 dimesional figure with 2 pairs of parallel sides no right angles and all sides are the same length?
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. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean Parallel Postulate and neither condition can be proven without appealing to the Euclidean Parallel Postulate or one of its equivalent formulations.A simple (non self-intersecting) quadrilateral is a parallelogram if and only if any one of the following statements is true;Two pairs of opposite sides are equal in lengthOne pair of opposite sides are parallel and equal in length.source:From Wikipedia, the free encyclopedia;Subject: Parallelogram.
