Quadrilaterals and Their Properties

Vocabulary flashcards covering geometric definitions and classification relationships of quadrilaterals based on the provided lecture notes.

Polygon

A shape with sides and angles.

Quadrilateral

A four sided polygon.

Parallelogram

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

Rectangle

A parallelogram with $4$ right angles.

Square

A rectangle with all sides congruent / a parallelogram with $4$ right angles and all congruent sides.

Rhombus

A parallelogram with all congruent sides.

Kite

A quadrilateral with at least $2$ pairs of adjacent and congruent sides, and at least one pair of congruent angles.

Trapezoid

A quadrilateral with exactly $1$ pair of parallel sides.

Isosceles Trapezoid

Trapezoids with the non-parallel sides congruent.

Parallelogram (Always, Sometimes, Never Relationships)

Always a quadrilateral; sometimes a rectangle, square, rhombus, or kite; never a trapezoid.

Rectangle (Always, Sometimes, Never Relationships)

Always a parallelogram and quadrilateral; sometimes a square, rhombus, or kite; never a trapezoid.

Square (Always, Sometimes, Never Relationships)

Always a rectangle, kite, rhombus, parallelogram, and quadrilateral; sometimes nothing; never a trapezoid.

Rhombus (Always, Sometimes, Never Relationships)

Always a parallelogram, kite, and quadrilateral; sometimes a square or rectangle; never a trapezoid.

Kite (Always, Sometimes, Never Relationships)

Always a quadrilateral; sometimes a rhombus, square, rectangle, or parallelogram; never a trapezoid.

Trapezoid (Always, Sometimes, Never Relationships)

Always a quadrilateral; sometimes an isosceles trapezoid; never all others.

Isosceles Trapezoid (Always, Sometimes, Never Relationships)

Always a trapezoid and quadrilateral; sometimes nothing; never all others.