Question

choose all answers that describe the polygon hijk if \overline{hi} \parallel \overline{jk} and \overline{ij} \parallel \overline{kh}.
answer attempt 1 out of 2
parallelogram
quadrilateral
rectangle
rhombus
square
trapezoid

Explanation:

Step1: Recall definitions

A quadrilateral is a four - sided polygon. A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Since \( \overline{HI}\parallel\overline{JK}\) and \( \overline{IJ}\parallel\overline{KH}\), \(HIJK\) is a parallelogram. And a parallelogram is a type of quadrilateral.

Step2: Analyze other options

A trapezoid has only one pair of parallel sides. Here we have two pairs of parallel sides, so it's not a trapezoid. For a rectangle, we need all angles to be right angles (not given). For a rhombus, we need all sides to be equal (not given). For a square, we need all sides equal and all angles right angles (not given).

Answer:

Parallelogram, Quadrilateral