A square or a rectangle
rhombus
To determine if a quadrilateral is a parallelogram, you can check if either pair of opposite sides is parallel and equal in length, or if the diagonals bisect each other. Additionally, if both pairs of opposite angles are equal, or if one pair of opposite sides is both parallel and equal in length, then the quadrilateral is a parallelogram. If any of these conditions are met, you can confidently classify the quadrilateral as a parallelogram.
A rhombus is a 4 equal sided quadrilateral with equal opposite acute angles and equal opposite obtuse angles with diagonals that bisect each other at right angles.
A parallelogram with intersecting diagonals is a quadrilateral where opposite sides are parallel and equal in length, and the diagonals bisect each other. This means that the diagonals divide each other into two equal segments, which is a defining property of parallelograms. Additionally, the angles opposite each other are equal, and adjacent angles are supplementary. Thus, the intersecting diagonals further emphasize the symmetry and balance within the shape.
Equal and parallel
A parallelogram.
They are equal and parallel.
A Quadrilateral Kite!
A rhombus is a simple quadrilateral with all its sides of equal length. As a result,its opposite sides are parallel,its opposite angles are equal,its adjacent angles are supplementary, andits diagonals bisect each other at right angles.
A parallelogram.
A quadrilateral with opposite sides equal and parallel
To determine if a quadrilateral is a parallelogram, you need to show that either pairs of opposite sides are equal in length, or that pairs of opposite angles are equal, or that the diagonals bisect each other. Alternatively, if both pairs of opposite sides are parallel, it also confirms that the quadrilateral is a parallelogram. Any one of these conditions is sufficient to classify the quadrilateral as a parallelogram.