Question

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

answer attempt 1 out of 2
the quadrilateral is most specifically a ~ , because
all sides meet at right angles
it is equilateral and all sides meet at right angles
no sides are congruent or parallel
it is equilateral

Explanation:

First, analyze the quadrilateral: all sides are labeled $y$, so it is equilateral. Its angles are $98^\circ$ and $82^\circ$, which are not right angles, and consecutive angles are supplementary ($98^\circ+82^\circ=180^\circ$), meaning opposite sides are parallel. Now evaluate the options:

1. "all sides meet at right angles" is false, as angles are not 90°.
2. "it is equilateral and all sides meet at right angles" is false, since angles are not right angles.
3. "no sides are congruent or parallel" is false, all sides are congruent and opposite sides are parallel.
4. "it is equilateral" is true, as all sides are equal in length.

Answer:

The quadrilateral is most specifically a rhombus, because it is equilateral