at least one pair of opposite sides is parallel
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.
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.
That it has 4 sides and a pair of parallel sides of different lengths
Yes. The sum of opposite angles is 180 degrees and that is a necessary and sufficient condition for a quadrilateral to be cyclic.
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.
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.
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.
A rectangle is a parallelogram where all internal angles are equal at 90°
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.
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.
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.
No. That condition is necessary but not sufficient.No. That condition is necessary but not sufficient.No. That condition is necessary but not sufficient.No. That condition is necessary but not sufficient.