Properties of Quadrilaterals

Kite

a quadrilateral with two pairs of consecutive sides are congruent

Rhombus

a parallelogram with all sides congruent

Parallelogram

a quadrilateral with both pairs of opposite sides parallel

Square

a quadrilateral that is both a rectangle and a rhombus

Trapezoid

a quadrilateral with one pair of opposite sides parallel.

Isosceles Trapezoid

a quadrilateral with one pair of opposite sides parallel and the other pair of opposite sides congruent

Rectangle

a parallelogram with at least one right angle

Both pairs of opposite angles congruent

parallelogram, rectangle, rhombus, square

Both pairs of opposite sides are parallel

parallelogram, rectangle, rhombus, square

Both pairs of opposite sides are congruent

parallelogram, rectangle, rhombus, square

All sides are congruent

rhombus, square

Consecutive sides are congruent

kite, rhombus, square

Diagonals are perpendicular

kite, rhombus, square

One diagonal is the perpendicular bisector of the other

kite

Diagonals are perpendicular bisectors of each other

rhombus, square

Diagonals bisect angles

rhombus, square

Diagonals are congruent

isosceles trapezoid, rectangle, square

Diagonals bisect each other

parallelogram, rectangle, rhombus, square

Same side interior angles are supplementary

trapezoid, isosceles trapezoid

Upper angles congruent and lower angles congruent

isosceles trapezoid

All angles congruent

rectangle, square

Diagonals bisect one pair of angles

kite

One pair of angles congruent

kite

Sum of interior angles is 360°

quadrilateral, trapezoid, isosceles trapezoid, parallelogram, kite, rectangle, rhombus, square

At least one pair of parallel sides

trapezoid, isosceles trapezoid, parallelogram, kite, rectangle, rhombus, square

Diagonals form 4 congruent right triangles

square

Exactly one pair of opposite sides are parallel

trapezoid, isosceles trapezoid

All angles are right angles

rectangle, square

Trapezoid with congruent diagonals

isosceles trapezoid

Exactly two pairs of consecutive congruent sides

kite

A square is ______________ a rectangle

always

A square is _______________ a rhombus

always

A rhombus is ________________ a square

sometimes

A rectanlge is ________________ a square

sometimes

A rhombus is ___________________ a parallelogram

always

A rhombus is _____________________ a kite

never

A kite is ____________________ a rhombus

sometimes

A rectangle is _____________________ an isosceles trapezoid

Never

A trapezoid is ____________________ isosceles

sometimes

A parallelogram is __________________ a square

sometimes

A rectangle is ____________________ a parallelogram

always

A parallelogram is ____________________ a rectangle

sometimes

A parallelogram is ___________________ a rhombus

sometimes

A parallelogram is _______________________ a quadrilateral

always

Consecutive angles are supplementary

parallelogram, rectangle, rhombus, square

Consecutive angles are congruent

rectangle, square