Question

choose all answers that describe the polygon qrst if \\(\overline{qr} \parallel \overline{st}\\) and \\(\overline{rs} \parallel \overline{tq}\\).

answer attempt 1 out of 2

parallelogram
quadrilateral
rectangle
rhombus
square
trapezoid

Explanation:

Polygon QRST has 4 vertices, so it is a quadrilateral. A quadrilateral with both pairs of opposite sides parallel ($\overline{QR} \parallel \overline{ST}$ and $\overline{RS} \parallel \overline{TQ}$) is defined as a parallelogram. There is no info about right angles (ruling out rectangle/square) or equal side lengths (ruling out rhombus/square), and a trapezoid has only one pair of parallel sides.

Answer:

Parallelogram, Quadrilateral