I would be seriously concerned if a quadrilateral had more than two pairs of opposite sides parallel! A quadrilateral with two pairs of opposite sides parallel is a parallelogram.
Only if it is a trapezoid (US usage) with one set of parallel sides, or a parallelogram with both sets of opposite sides parallel. The term quadrilateral only means that the shape has 4 sides.
A square or a rhombus
true
A trapezoid.
I would be seriously concerned if a quadrilateral had more than two pairs of opposite sides parallel! A quadrilateral with two pairs of opposite sides parallel is a parallelogram.
Only if it is a trapezoid (US usage) with one set of parallel sides, or a parallelogram with both sets of opposite sides parallel. The term quadrilateral only means that the shape has 4 sides.
A square or a rhombus
true
true
A trapezoid.
No, it doesn't have to be. A quadrilateral can definitely be a parallelogram only if: - Both pairs of opposite sides are parallel. - Both pairs of opposite sides are congruent. - One pair of opposite sides are both congruent and parallel. - Both pairs of opposite angles are congruent. - The diagonals bisect each other.
rhombus
All sides of a quadrilateral are consecutive, by definition.Not really. In the quadrilateral ABCD the sides AB and CD are opposite, but not consecutive. What is true for a quadrilateral is that any pair of sides that is opposite is not consecutive, and any pair that is not opposite is consecutive.The question asks what shape quadrilateral has 2 consecutive sides. If the question means "2 and only 2" consecutive sides the answer is that no such shape exists. If it means at least 2 consecutive sides then any quadrilateral fits the bill.If, as I suspect, the questioner meant 2 parallel sides, the answer is a trapezium.
A trapezoid is a 4 sided quadrilateral that has only 1 pair of opposite parallel sides of different lengths.
square
Yes.Although the definition of a parallelogram is "a quadrilateral with both pairs of opposite sides parallel", the only way for a quadrilateral to include opposite sides of equal length is if the included angles are the same, and hence the sides are parallel.(Hint : draw a diagonal to a parallelogram. You can show that one of the two triangles formed is the mirror image of the other, which immmediately proves that each pair of opposite sides is equal.)