Quadrilaterals Vocabulary and Properties

Vocabulary flashcards detailing definitions, properties, diagonals, and symmetry for various types of quadrilaterals.

Quadrilateral

A polygon with exactly four sides. All quadrilaterals are closed figures made of line segments.

Congruent

Having the same size and shape.

Trapezoid

A quadrilateral with one pair of parallel sides (bases).

Isosceles Trapezoid

A trapezoid with one pair of congruent sides and one line of symmetry.

Right Trapezoid

A trapezoid that has $2$ right angles and no lines of symmetry.

Parallelogram

A quadrilateral with $2$ pairs of parallel sides (opposite sides), $2$ pairs of congruent sides, and congruent opposite angles.

Rhombus

A quadrilateral with $4$ congruent sides, $2$ pairs of parallel sides (opposite sides), and congruent opposite angles.

Rectangle

A quadrilateral with $4$ right angles ($90^\text{ degrees}$ each), $2$ pairs of parallel sides (opposite sides), and $2$ pairs of congruent sides.

Square

A quadrilateral with $4$ right angles ($90^\text{ degrees}$ each) and $4$ congruent sides, with $2$ pairs of parallel sides.

Bisect

To divide into two equal parts.

Line of Symmetry

A line that divides a figure into two congruent parts, each of which is the mirror image of the other.

Diagonal

A line drawn from one vertex to another in a shape. All quadrilaterals have $2$ diagonals.

Diagonals of a Parallelogram

Two diagonals that always bisect each other.

Diagonals of a Rhombus

Two diagonals that bisect each other and are perpendicular (making right angles).

Diagonals of a Trapezoid

The $2$ diagonals of a trapezoid that do not bisect each other.

Quadrilaterals Venn Diagram

A chart classifying quadrilaterals based on whether they have no parallel sides, $1$ pair of parallel sides (trapezoid), or $2$ pairs of parallel sides (parallelogram, rectangle, rhombus, square).