choose the quadrilateral that is not a rhombus, with two pairs of congruent sides and two angles that each…

Explanation:

Step1: Identify the required properties

The shape must have two pairs of congruent sides, two $120^{\circ}$ angles, and not be a rhombus.

Step2: Evaluate the rectangle (Option 1)

A rectangle has four $90^{\circ}$ angles, which contradicts the requirement for $120^{\circ}$ angles.

Step3: Evaluate the rhombus/square (Option 2)

The problem explicitly states the quadrilateral must not be a rhombus.

Step4: Evaluate the kite (Option 3)

A kite has two pairs of adjacent congruent sides. It can have two congruent $120^{\circ}$ angles where the unequal sides meet.

Step5: Evaluate the parallelogram (Option 4)

A parallelogram with two $120^{\circ}$ angles and two pairs of congruent sides would be a rhombus if all sides are equal, or it would not fit the visual representation of the kite.

Answer:

The third option (the kite)