Properties of Quadrilaterals

Rectangle

Parallelogram in which at least one angle is right

Square

Parallelogram that is both a rectangle and a rhombus

Kite

quadrilateral in which two disjoint pairs of consecutive sides are congruent

Parallelogram

quadrilateral in which both pairs of opposite sides are parallel

Trapezoid

quadrilateral with exactly one pair of parallel sides. (parallel sides are bases)

properties of squares

(all properties of parallelograms)
(all properties of rhombuses)
(all properties of rectangles)

properties of trapezoids

1. 2 sets of consecutive angles are supplementary

properties of isosceles trapezoids

(all properties of trapezoids)
1. Opposite angles are supplementary
2. base angles are congruent
3. diagonals are congruent

properties of kites

1. diagonals are perpendicular
2. 1 pair of opposite angles are congruent
3. long diagonal bisects the short diagonal
4. long diagonal bisects the opposite angles

Isosceles Trapezoid

trapezoid in which non-parallel sides are congruent

Rhombus

parallelogram in which at least 2 consecutive sides are congruent

Quadrilateral

4 sided polygon

Polygon

closed figure with no curved sides

properties of quadrilateral

4 sides
sum of interior angles is 360

properties of parallelograms

1. Opposite sides are congruent
2. Opposite angles are congruent
3. Diagonals bisect each other
4. Consecutive angles are supplementary

properties of rhombuses

(all properties of parallelograms)
1. diagonals are perpendicular
2. diagonals bis. opposite angles

properties of rectangles

(all properties of parallelograms)
1. diagonals are congruent

which quadrilaterals have...
opposite sides are parallel

parallelogram, rectangle, rhombus, square

which quadrilaterals have...
one one pair of opposite sides is parallel

trapezoid and isosceles trapezoid

which quadrilaterals have...
opposite sides are congruent

parallelogram, rectangle, rhombus, square

which quadrilaterals have...
consecutive angles are supplementary

parallelogram, rectangle, rhombus, square

which quadrilaterals have...
two pairs of disjoint consecutive sides are congruent

kite

which quadrilaterals have...
opposite angles are congruent

parallelogram, rectangle, rhombus, square

which quadrilaterals have...
only one pair of opposite angles are congruent

kite

which quadrilaterals have...
all angles are right angles

rectangle, square

which quadrilaterals have...
all sides are congruent

rhombus, square

which quadrilaterals have...
diagonals are congruent

rectangle, square

which quadrilaterals have...
diagonals bisect each other

parallelogram, rectangle, rhombus, square

which quadrilaterals have...
diagonals are perpendicular

rhombus, square, kite

which quadrilaterals have...
diagonals are perpendicular and one is bisected

kite

which quadrilaterals have...
diagonals are congruent, perpendicular, and bisect each other

square

which quadrilaterals have...
diagonals bisect opposite angles

rhombus, square

which quadrilaterals have...
one diagonal bisects one pair of opposite angles

kite

ASN
a rhombus is a parallelogram

A

ASN
a square is a trapezoid

N

ASN
a kite is a quadrilateral

A

ASN
a parallelogram is a rectangle

S

ASN
a square is a rectangle

A

ASN
an isosceles trapezoid is always a trapezoid

A

ASN
a rectangle is a parallelogram

A

ASN
a square is a rhombus

A

ASN
if a quad has 2 adjacent sides congruent then it is a parallelogram

S

ASN
consecutive angles in a parallelogram are complementary

N

ASN
if ABCD is a parallelogram, then AC = BC

A

ASN
if XYZW is a quadrilateral with XY = ZW and XY II ZW, then it is a parallelogram

A