Question

choose all answers that describe the quadrilateral below. answer attempt 1 out of 2 parallelogram rectangle rhombus square trapezoid

Explanation:

Step1: Recall properties of quadrilaterals

In a parallelogram, opposite - angles are equal. Here, the opposite angles are \(84^{\circ}\) and \(96^{\circ}\), so it satisfies the opposite - angle property of a parallelogram.

Step2: Check for rectangle

A rectangle has all angles equal to \(90^{\circ}\). Since the angles are \(84^{\circ}\) and \(96^{\circ}\), it is not a rectangle.

Step3: Check for rhombus

A rhombus has all sides equal and opposite - angles equal. We are not given information about side lengths, but the angle property holds for now. However, we need more information about side lengths to confirm it as a rhombus. But based on angle properties alone, it could potentially be a rhombus.

Step4: Check for square

A square has all angles equal to \(90^{\circ}\) and all sides equal. Since the angles are not \(90^{\circ}\), it is not a square.

Step5: Check for trapezoid

A trapezoid has one pair of parallel sides. A parallelogram (which this could be) also has two pairs of parallel sides, so it is not a trapezoid (a trapezoid has exactly one pair of parallel sides).

Answer:

Parallelogram, Rhombus (with the caveat that we need side - length information to fully confirm the rhombus)