Question

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

the quadrilateral is most specifically a rhombus, because
options:
no sides are congruent or parallel
both pairs of sides are parallel
it is regular
all angles measure 90°

Explanation:

A rhombus is a type of quadrilateral. One of the key properties of a rhombus is that both pairs of its opposite sides are parallel. In the given quadrilateral, we can observe that it has the characteristics of a rhombus. The first option “no sides are congruent or parallel” is incorrect for a rhombus as a rhombus has all sides congruent and opposite sides parallel. A regular polygon has all sides and all angles equal. In a rhombus, all sides are equal but the angles are not all equal (in this case, angles are \(80^{\circ}\) and \(100^{\circ}\) as the sum of adjacent angles in a parallelogram - which a rhombus is - is \(180^{\circ}\)). The option “all angles measure \(90^{\circ}\)” is for a rectangle or a square. So, based on the property of a rhombus having both pairs of sides parallel, we can justify the answer.

Answer:

both pairs of sides are parallel