Classify each quadrilateral using the name that best describes it. (FIGURE CAN'T COPY)

Name: Problem 3, Chapter 10: Prealgebra
Uploaded: 2020-05-31T18:53:32-08:00
Duration: 37 s
Channel: Mary Brese
Description: Classify each quadrilateral using the name that best describes it. (FIGURE CAN'T COPY)

step 1 If you're given a quadrilateral and the only other information that is provided to you is all fo

Classify each quadrilateral using the name that best...

Key Concepts

Kite

A kite is a quadrilateral characterized by having two distinct pairs of adjacent sides that are equal in length. Unlike parallelograms or trapezoids, kites generally do not have parallel sides, but they do exhibit symmetry along one diagonal. This diagonal often bisects the other and the angles between sides of different lengths.

Trapezoid

A trapezoid (or trapezium in some regions) is defined by having at least one pair of parallel sides. This contrasts with parallelograms, which require two pairs of parallel sides. Understanding which sides are parallel helps in identifying an isosceles trapezoid, a special case that also has congruent non-parallel sides and base angles.

Rhombus

A rhombus is a quadrilateral where all four sides are of equal length, but the angles are not necessarily right angles. The defining characteristic of a rhombus is its congruent sides and the fact that its opposite sides are parallel. Diagonals in a rhombus intersect at right angles, offering unique properties that distinguish it from other parallelograms.

Parallelogram

A parallelogram is a type of quadrilateral where both pairs of opposite sides are parallel. Additionally, opposite sides are equal in length and opposite angles are equal. This definition includes shapes that may not necessarily have right angles or equal side lengths, distinguishing them from rectangles or squares.

Rectangle

A rectangle is a special type of parallelogram distinguished by having four right angles. While opposite sides remain parallel and equal in length, the defining feature of a rectangle is its right angles, which provides a foundation for many geometric properties, including the equality of its diagonals.

Quadrilateral

A quadrilateral is a polygon with four sides and four vertices. In general classification, quadrilaterals can have a variety of properties depending on the lengths of their sides, the measures of their angles, and the relationships of their sides (such as parallelism). Understanding the basic properties of quadrilaterals is foundational for determining which specific type a figure may belong to.

Square

A square is a highly regular quadrilateral that meets the criteria of both a rectangle and a rhombus. It has four equal sides, four right angles, and parallel opposite sides, combining the properties of equilateral and equiangular figures. This regularity means that all its sides and angles are congruent, leading to many symmetrical properties.

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