False
false
Diagonally opposite pairs of angles will always be equal, but the only time all angles in a quadrilateral parallelogram are equal is when that shape is a rectangle.
false
true
False. If both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram.
The angles of a parallelogram can vary but the interior angles will always add up to 360 degrees, as it is a quadrilateral.
No. A quadrilateral is a parallelogram when consecutiveangles are supplementary.
True
For the quadrilateral to be a parallelogram, both pairs of opposite angles must be congruent.
If both pairs of opposite angles of a quadrilateral are congruent, then it is a parallelogram.
no
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.