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QUESTION IMAGE

fill in the sentence below with the description that most specifically …

Question

fill in the sentence below with the description that most specifically applies to the quadrilateral below.

the quadrilateral is most specifically a square, because
all sides are parallel
no sides are congruent or parallel
all sides are congruent
exactly one pair of sides is parallel

Explanation:

Step1: Analyze the quadrilateral

The given quadrilateral has all four sides labeled as 15, so we check the properties related to side congruence.

Step2: Evaluate the options

  • "all sides are parallel": A square has opposite sides parallel, but this is not the most specific reason for it being a square (a rhombus also has all sides congruent and opposite sides parallel).
  • "no sides are congruent or parallel": This is false as all sides are congruent (length 15) and opposite sides are parallel.
  • "all sides are congruent": A square is a special type of quadrilateral where all four sides are congruent (and all angles are right angles, which is indicated by the angle marks). This is a key property that defines a square (along with right angles, but the side congruence is a main part here).
  • "exactly one pair of sides is parallel": This is the property of a trapezoid, not a square.

So the correct reason is that all sides are congruent.

Answer:

all sides are congruent