A square is defined by having four sides of equal length and four right angles. This distinguishes it clearly from other quadrilaterals that may share one or the other property.

A trapezoid is defined as a quadrilateral with exactly one pair of parallel sides. This property sets it apart from parallelograms, which have two pairs of parallel sides.

A parallelogram is characterized by having both pairs of opposite sides that are parallel and equal in length. Although a rhombus also meets these criteria, the term parallelogram is the general classification for such properties.

By definition, a rectangle has four right angles. Each interior angle in a rectangle measures 90°.

Squares, rectangles, and rhombuses are all types of parallelograms. A key property of parallelograms is that their opposite sides are parallel.

In a rhombus, the diagonals intersect at right angles and bisect each other. Although they split the shape symmetrically, they are generally not congruent.

An isosceles trapezoid distinguishes itself by having congruent diagonals and legs. This property is not shared by all trapezoids, making it a key identifying feature.

A fundamental property of parallelograms is that their opposite angles are congruent. The other options do not hold true for all parallelograms.

One key property of a rectangle is that its diagonals are of equal length (congruent). Unlike in some other quadrilaterals, the diagonals in a rectangle do not generally intersect at right angles.

While both a square and a rhombus have four sides of equal length, a square is distinguished by having all interior angles equal to 90°. A rhombus does not require right angles.

A kite generally has one line of symmetry that divides it into two congruent halves. This single axis of symmetry is a typical characteristic of kites.

In an isosceles trapezoid, the angles along the same leg are supplementary. Therefore, if one base angle is 70°, the adjacent angle must measure 110°.

A rectangle is defined by having both pairs of opposite sides parallel and all interior angles equal to 90°. These properties are sufficient to classify a quadrilateral as a rectangle.

In a square, the diagonals possess several key properties: they are congruent, intersect at right angles, and bisect both each other and the interior angles. This combination of properties is distinctive to squares.

A kite is characterized by having two pairs of adjacent congruent sides and typically one axis of symmetry. It does not usually have a pair of parallel sides, which distinguishes it from other quadrilaterals.

By calculating the slopes of the sides, we can see that both pairs of opposite sides are parallel. This is the defining characteristic of a parallelogram, even though the quadrilateral does not meet the criteria for being a rectangle or a kite.

This property of having perpendicular diagonals where one diagonal bisects the other is typical of kites. It distinguishes them from other quadrilaterals, where diagonals might not meet these conditions.

While all parallelograms have opposite angles equal, the additional property of a diagonal bisecting an angle is specific to a rhombus (and by extension, a square). Thus, the most specific classification is a rhombus.

The defining characteristic given in this question is that the quadrilateral has only one pair of parallel sides. This feature distinguishes it from a parallelogram, which would have two pairs of parallel sides.

An isosceles trapezoid is always cyclic because its base angles are congruent, ensuring that the sum of each pair of opposite angles is 180°. This property guarantees that it can be inscribed in a circle.