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A quadrilateral is "guaranteed" to be a parallelogram if

(a) the opposite side are parallel, or

(b) any line segment perpendicular to one side and intersecting the opposite side is also perpendicular to the opposite side, or

(c) any line segment perpendicular to one side and intersecting the opposite side has the same length as any other such perpendicular line intersecting the opposite side (sometimes vaguely expressed as "opposite sides are everywhere equidistant"), or

(d) the angles at the two ends of any side add up to 180 degrees.

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Q: Different condition that quarantees a quadrilateral a parallelogram?
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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 of the following is not a sufficient condition for concluding a quadrilateral is a parallelogram?

at least one pair of opposite sides is parallel


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.


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


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.


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.


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 shape have one pair of congruent sides?

Many shapes. If it is a triangle, it is an isosceles triangle. A quadrilateral (4 sides) may be several types depending on other conditions. Just a quadrilateral (adjacent sides congruent and no other special condition) a parallelogram, a rhombus, a square, and a rectangle (all are quadrilaterals). But there is nothing that says a pentagon, hexagon, etc. cannot have t congruent sides.


Where attribute must be present for a quadrilateral to also be a trapezoid?

No. A trapezoid is defined as a quadrilateral with two parallel sides. Therefore, the quality of quadrilateral is necessary, and this condition is satisfied. ... Any other shape can have four sides, but if it does not have (at least) two parallel sides, it cannot be a trapezoid.


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.