Question

question
choose all answers that describe the quadrilateral stuv if $overline{st}paralleloverline{uv}$, $st = 9$, and $uv = 9$.
answer
attempt 1 out of 2
parallelogram
rectangle
rhombus
square
trapezoid

Explanation:

Step1: Recall quadrilateral properties

A parallelogram has one - pair of opposite sides parallel and equal. Given $\overline{ST}\parallel\overline{UV}$ and $ST = UV=9$, quadrilateral $STUV$ is a parallelogram.

Step2: Analyze other quadrilaterals

A rectangle is a parallelogram with all right - angles. There is no information about angles, so we can't say it's a rectangle. A rhombus is a parallelogram with all sides equal. We only know about two opposite sides, so we can't say it's a rhombus. A square is a rectangle and a rhombus, so we can't say it's a square. A trapezoid has exactly one pair of parallel sides. Since it is a parallelogram (two pairs of parallel sides are possible in a parallelogram), it is not a trapezoid.

Answer:

A. Parallelogram