a quadrilateral with exactly two pairs of congruent consecutive side
kite
theorem: if a quadrilateral is a ______ then its diagonals are perpendicular
Kite
if a quadrilateral is a ________ then exactly one pair of opposite angles are congruent
kite
a _____ is a quadrilateral with exactly one pair of parallel side
trapezoid
parallel sides of a trapezoid called
base
nonparallel sides are called
legs
__________ of a trapezoid are two consecutive angles whose common side is a base
base angles
an ___________ has congruent legs
isosceles trapezoid
if a quadrilateral is a __________, then each pair of base angles are congruent
base angles
if a trapezoid has one pair of congruent base angles then it is an _____________________
isosceles trapezoid
it is a ______________ IF AND ONLY IF its diagonals are congruent
isosceles trapezoid
the midsegment of a __________ is the segment whose endpoints are the midpoint of the legs
trapezoid
the midsegment of a trapezoid is parallel to each base, and its length is one half the sum of the lengths of the bases
M = 1/2 ( base1 X Base2)
trapezoid midsegment theorem
- if you know the quadrilateral is a parallelogram
- if one angle of a parallelogram is a right angle, the the parallelogram is a ____________
rectangle
- if you know the quadrilateral is a parallelogram
- if the diagonal of a parallelogram are congruent then the parallelogram is a _________________
rectangle
- if you know the quadrilateral is a parallelogram
- if one pair of consecutive sides of a parallelogram are congruent then the parallelogram is a ___________________
rhombus
- if you know the quadrilateral is a parallelogram
- if the diagonals of a parallelogram are perpendicular then the parallelogram is a _____________
rhombus
- if you know the quadrilateral is a parallelogram
- if one diagonal of a parallelogram bisects a pair of opposite angles then the parallelogram is a ____________
rhombus
a quadrilateral is a _____________ if it u are able to show it is both a rectangle and a rhombus
Square
a ______________ is a quadrilateral with four right angles
rectangle
if a quadrilateral is a _______________ then it is a parallelogram
rectangle
if a parallelogram is a _____________ then its diagonals are congruent
rectangle
if a quadrilateral is a _______________ then it is a parallelogram
rhombus
if a quadrilateral is a _______________
then its diagonals are perpendicular
rhombus
if a quadrilateral is a _______________
then each diagonal bisects a pair of opposite angles
rhombus
a _____________ is a quadrilateral with 4 right angles and 4 congruent side
square
if one pair of opposite sides of a quadrilateral are parallel and congruent then the quadrilateral is a ___________________
parallelogram
if both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a ____________________
parallelogram
if both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a _________________
parallelogram
if an angle of a quadrilateral is supplementary to both of its consecutive angles then the quadrilateral is a __________________
parallelogram
if the diagonals of a quadrilateral bisect each other then the quadrilateral is a ____________
parallelogram
if both pairs of opposite sides are parallel then the quadrilateral is a ________________
parallelogram
a ________________ is a quadrilateral with two pairs of parallel sides
parallelogram
if a quadrilateral is a _________________ then its opposite sides are congruent
parallelogram
if a quadrilateral is a _________________ then its consecutive angles are supplementary
parallelogram
if a quadrilateral is a _______________ then its diagonals bisect each other
parallelogram
a quadrilateral with exactly two pairs of congruent consecutive side
kite
theorem: if a quadrilateral is a ______ then its diagonals are perpendicular
Kite
if a quadrilateral is a ________ then exactly one pair of opposite angles are congruent
kite
a _____ is a quadrilateral with exactly one pair of parallel side
trapezoid
parallel sides of a trapezoid called
base
nonparallel sides are called
legs
__________ of a trapezoid are two consecutive angles whose common side is a base
base angles
an ___________ has congruent legs
isosceles trapezoid
if a quadrilateral is a __________, then each pair of base angles are congruent
base angles
if a trapezoid has one pair of congruent base angles then it is an _____________________
isosceles trapezoid
it is a ______________ IF AND ONLY IF its diagonals are congruent
isosceles trapezoid
the midsegment of a __________ is the segment whose endpoints are the midpoint of the legs
trapezoid
the midsegment of a trapezoid is parallel to each base, and its length is one half the sum of the lengths of the bases
M = 1/2 ( base1 X Base2)
trapezoid midsegment theorem
- if you know the quadrilateral is a parallelogram
- if one angle of a parallelogram is a right angle, the the parallelogram is a ____________
rectangle
- if you know the quadrilateral is a parallelogram
- if the diagonal of a parallelogram are congruent then the parallelogram is a _________________
rectangle
- if you know the quadrilateral is a parallelogram
- if one pair of consecutive sides of a parallelogram are congruent then the parallelogram is a ___________________
rhombus
- if you know the quadrilateral is a parallelogram
- if the diagonals of a parallelogram are perpendicular then the parallelogram is a _____________
rhombus
- if you know the quadrilateral is a parallelogram
- if one diagonal of a parallelogram bisects a pair of opposite angles then the parallelogram is a ____________
rhombus
a quadrilateral is a _____________ if it u are able to show it is both a rectangle and a rhombus
Square
a ______________ is a quadrilateral with four right angles
rectangle
if a quadrilateral is a _______________ then it is a parallelogram
rectangle
if a parallelogram is a _____________ then its diagonals are congruent
rectangle
if a quadrilateral is a _______________ then it is a parallelogram
rhombus
if a quadrilateral is a _______________
then its diagonals are perpendicular
rhombus
if a quadrilateral is a _______________
then each diagonal bisects a pair of opposite angles
rhombus
a _____________ is a quadrilateral with 4 right angles and 4 congruent side
square
if one pair of opposite sides of a quadrilateral are parallel and congruent then the quadrilateral is a ___________________
parallelogram
if both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a ____________________
parallelogram
if both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a _________________
parallelogram
if an angle of a quadrilateral is supplementary to both of its consecutive angles then the quadrilateral is a __________________
parallelogram
if the diagonals of a quadrilateral bisect each other then the quadrilateral is a ____________
parallelogram
if both pairs of opposite sides are parallel then the quadrilateral is a ________________
parallelogram
a ________________ is a quadrilateral with two pairs of parallel sides
parallelogram
if a quadrilateral is a _________________ then its opposite sides are congruent
parallelogram
if a quadrilateral is a _________________ then its consecutive angles are supplementary
parallelogram
if a quadrilateral is a _______________ then its diagonals bisect each other
parallelogram