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question
choose all answers that describe the polygon qrst if qr || st and rs || tq.
answer attempt 1 out of 2
parallelogram
quadrilateral
rectangle
rhombus
square
trapezoid
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Explanation:

Step1: Recall the definitions

A quadrilateral is a four - sided polygon. A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Since \( \overline{QR}\parallel\overline{ST}\) and \( \overline{RS}\parallel\overline{TQ}\), \(QRST\) is a parallelogram.
A trapezoid is a quadrilateral with exactly one pair of parallel sides. But here we have two pairs of parallel sides, so it's not a trapezoid.
A rectangle is a parallelogram with four right angles. There is no information about angles being right angles.
A rhombus is a parallelogram with all sides equal. No information about side lengths.
A square is a parallelogram with four right angles and all sides equal. No such information.

Answer:

Parallelogram, Quadrilateral