Classifying Quadrilaterals Practice Quiz

A quadrilateral is defined as a polygon with four sides. This fundamental property distinguishes it from triangles and other polygons.

A square is uniquely defined by having four equal sides and four right angles. This combination sets it apart from rectangles and rhombi, which lack one of these properties.

A trapezoid is defined as having only one pair of parallel sides. This specific property distinguishes it clearly from quadrilaterals like parallelograms, which have two pairs.

A key characteristic of a parallelogram is that its opposite sides are both parallel and equal in length. This property is the basis for many of its other geometric attributes.

A kite is identified by having two distinct pairs of adjacent sides that are equal in length. It also typically has a single axis of symmetry, which is a hallmark of its shape.

A rectangle is characterized by congruent diagonals, meaning they are equal in length. This property is a reliable indicator that distinguishes rectangles from other quadrilaterals.

In a parallelogram, opposite angles are equal and consecutive angles are supplementary. Thus, if one angle is 70°, the adjacent angles must be 110°, leading to an alternating pattern.

A square uniquely features diagonals that are both perpendicular and bisect each other. This contrasts with a rectangle, where the diagonals are congruent but not perpendicular.

Both a square and a rhombus have four equal sides, but a square must also have four right angles. This distinction regarding angle measures is the primary difference between the two figures.

Rectangles are defined by having four right angles and congruent diagonals. This consistent property is used to identify rectangles among other quadrilaterals.

By definition, a trapezoid features only one pair of parallel sides. This property distinguishes it clearly from parallelograms and rectangles.

A square is cyclic because all its vertices can lie on a circle, and its diagonals are perpendicular. These combined properties uniquely identify a square among quadrilaterals.

An isosceles trapezoid features congruent base angles and equal-length legs, unlike a general trapezoid. This symmetry is the hallmark of an isosceles trapezoid.

A rectangle is defined by having two pairs of parallel sides and congruent diagonals, while its adjacent sides can differ in length. This description rules out squares and differentiates it from rhombi.

A rhombus has the distinct property that its diagonals bisect each other perpendicularly. This is a key feature that distinguishes a rhombus from other quadrilaterals.

In a kite, only one diagonal acts as the perpendicular bisector of the other. This property is unique and helps distinguish kites from other quadrilaterals where both diagonals might bisect each other.

A rectangle, with its four right angles, always has opposite angles summing to 180°. This makes every rectangle cyclic, meaning it can be inscribed in a circle.

A square uniquely has diagonals that not only bisect each other but are perpendicular as well. This results in four congruent right triangles, a property not shared by the other quadrilaterals listed.

A rhombus is characterized by diagonals that bisect each other at right angles and are generally of unequal lengths. This feature helps distinguish it clearly from rectangles and squares, which have congruent diagonals.

An isosceles trapezoid is defined by having one pair of parallel sides along with congruent base angles and congruent diagonals. This set of properties clearly distinguishes it from rectangles and squares, which have two pairs of parallel sides.