Question

question
fill in the sentence below with the description that most specifically applies to the quadrilateral below.
quadrilateral image
answer attempt 1 out of 2
the quadrilateral is most specifically a dropdown, because
dropdown options: parallelogram, square, trapezoid, rectangle
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Explanation:

Step1: Analyze the quadrilateral's properties

The quadrilateral has four right angles (each \(90^\circ\)) and opposite sides marked as equal (the tick marks indicate congruent sides).

Step2: Evaluate each option

• Parallelogram: A parallelogram has opposite sides parallel and equal, but this is a broader category. The quadrilateral has right angles, so a more specific term exists.
• Square: A square has four equal sides and four right angles. The diagram shows opposite sides equal (not necessarily all four sides equal, as the tick marks are on opposite sides, not all four), so it's not necessarily a square.
• Trapezoid: A trapezoid has at least one pair of parallel sides. This quadrilateral has two pairs of parallel sides and right angles, so trapezoid is too broad.
• Rectangle: A rectangle has four right angles and opposite sides equal (and parallel). This matches the quadrilateral's properties (four \(90^\circ\) angles, opposite sides congruent). It is more specific than parallelogram here (since it has right angles) and not a square (since we only know opposite sides are equal, not all four).

Answer:

rectangle (because it has four right angles and opposite sides equal, fitting the definition of a rectangle; it is more specific than parallelogram, and not necessarily a square as we don't know all sides are equal)