Question

1. choose all answers that describe the polygon defg if de || fg and ef || gd. parallelogram quadrilateral rectangle rhombus square

Explanation:

• A quadrilateral is a four - sided polygon. Since DEFG has four sides, it is a quadrilateral.
• A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Given \(DE\parallel FG\) and \(EF\parallel GD\), DEFG is a parallelogram.
• A rectangle is a parallelogram with four right angles. There is no information given about the angles being right angles, so we cannot conclude it is a rectangle.
• A rhombus is a parallelogram with all sides equal. There is no information given about the side lengths being equal, so we cannot conclude it is a rhombus.
• A square is a parallelogram with four right angles and all sides equal. Since there is no information about angles or side lengths, we cannot conclude it is a square.

Answer:

Parallelogram, Quadrilateral