Question

choose all answers that describe the polygon below.

answer

parallelogram
quadrilateral
rectangle
rhombus
square
trapezoid

Explanation:

1. Quadrilateral: A quadrilateral is a polygon with 4 sides. The given figure has 4 sides (lengths 44, 20, 21, 29), so it is a quadrilateral.
2. Trapezoid: A trapezoid is a quadrilateral with at least one pair of parallel sides. By visually inspecting the figure (or analyzing the side lengths, though the key is the definition), we can see it has one pair of parallel sides (the top side of length 44 and the bottom - like side? Wait, actually, from the side lengths, we can observe that it fits the trapezoid definition. Also, the other options:

• Parallelogram: A parallelogram has two pairs of parallel sides and opposite sides equal. Here, the side lengths are 44, 20, 21, 29 - no two pairs of equal sides, so not a parallelogram.
• Rectangle: A rectangle is a parallelogram with 4 right angles and opposite sides equal. Since it's not a parallelogram, it's not a rectangle.
• Rhombus: A rhombus is a parallelogram with all sides equal. Sides are not equal, so not a rhombus.
• Square: A square is a rhombus and a rectangle, so it's not a square.

Answer:

Quadrilateral, Trapezoid