The quadrilateral you are describing is a kite. A kite has two pairs of adjacent sides that are equal in length, where each pair is not opposite to each other. This property distinguishes kites from other quadrilaterals such as parallelograms and rectangles, which have opposite sides equal. Kites also typically have one pair of opposite angles that are equal.
rectangle
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.
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.
rhombus
All quadrilaterals have two [pairs] of opposite sides and in most cases they are not equal.
rectangle
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.
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.
rhombus
All quadrilaterals have two [pairs] of opposite sides and in most cases they are not equal.
true
A parallelogram.
Rhombus
You are a square or a rhombus
true
rectangle
Yes, if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is indeed a parallelogram. This is one of the properties that define parallelograms: if a quadrilateral has two pairs of sides that are equal in length, it ensures that the opposite sides are parallel. Thus, the statement is true based on the properties of quadrilaterals.