Question

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

Explanation:

Step1: Recall properties of quadrilaterals

In a parallelogram, opposite angles are equal. Here, we have two pairs of equal - opposite angles ($n^{\circ}$ and $g^{\circ}$), so it is a parallelogram.

Step2: Analyze for special parallelograms

For a rectangle, all angles must be $90^{\circ}$. We have no information that $n = g=90^{\circ}$, so it may not be a rectangle.

Step3: Analyze for rhombus

A rhombus is a parallelogram. Since it is a parallelogram and we have no information about side - lengths being equal, but all rhombuses are parallelograms, it could be a rhombus.

Step4: Analyze for square

A square is a rectangle and a rhombus. Since we don't know if the angles are $90^{\circ}$ and we don't know if the sides are equal, it may not be a square.

Step5: Analyze for trapezoid

A trapezoid has one pair of parallel sides. A parallelogram has two pairs of parallel sides. Since it is a parallelogram, it is not a trapezoid.

Answer:

Parallelogram, Rhombus