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choose all answers that describe the polygon below.
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parallelogram
quadrilateral
rectangle
rhombus
square
trapezoid
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Explanation:

Step1: Define quadrilateral

A quadrilateral is a polygon with four sides.

Step2: Check the number of sides

The given polygon has four sides. So it is a quadrilateral.

Step3: Check for parallelogram

In a parallelogram, opposite sides are equal. Here \(45
eq64\) and \(32
eq36\), so it is not a parallelogram.

Step4: Check for rectangle

A rectangle is a parallelogram with all angles \(90^{\circ}\). Since it is not a parallelogram, it is not a rectangle.

Step5: Check for rhombus

A rhombus is a parallelogram with all sides equal. Since it is not a parallelogram, it is not a rhombus.

Step6: Check for square

A square is a rectangle with all sides equal. Since it is not a rectangle, it is not a square.

Step7: Check for trapezoid

A trapezoid has at least one pair of parallel sides. There is no information given about parallel sides (and from side - lengths, we can't assume parallelism based on the given data in a non - standard figure). So we can't confirm it as a trapezoid.

Answer:

Quadrilateral