Question

choose all answers that describe the quadrilateral below.

answer attempt 1 out of 2

parallelogram
rectangle
rhombus
square
trapezoid

Explanation:

Step1: Analyze the quadrilateral's diagonals

The diagonals of the quadrilateral bisect each other (marked with equal segments), which is a property of a parallelogram. Also, the diagonals are equal in length (marked with double and single tick marks indicating congruent segments), which is a property of a rectangle.

Step2: Evaluate each option

• Parallelogram: Diagonals bisect each other, so it is a parallelogram.
• Rectangle: Diagonals are equal and bisect each other, so it is a rectangle.
• Rhombus: Diagonals of a rhombus are not equal (unless it's a square), and here diagonals are equal, so not a rhombus.
• Square: A square is a special rhombus and rectangle, but the figure doesn't show all sides equal (only diagonals equal and bisecting), so not a square.
• Trapezoid: A trapezoid has only one pair of parallel sides, but a parallelogram has two pairs, so not a trapezoid.

Answer:

A. Parallelogram, B. Rectangle