parallelogram
a quadrilateral with both pairs of opposite sides parallel
If a quadrilateral is a parallelogram, then its opposite sides are ________________________
congruent
If a quadrilateral is a parallelogram, then its opposite ______________ are congruent
angles
If a quadrilateral is a parallelogram, then its consecutive angles are _______________________________.
supplementary
If a parallelogram has one right angle, then it has four ___________ _______________
right angles
If a quadrilateral is a parallelogram, then its diagonals ____________ each other.
bisect
If a quadrilateral is a parallelogram, then each diagonal separates the parallelogram into two congruent _____________________.
triangles
Polygon Interior Angles Sum
Polygon Angle Sum=180n-360=180(n-2)
diagonal (of a polygon)
a segment that connects any two nonconsecutive vertices
heptagon
7 sided polygon
nonagon
9 sided polygon
decagon
10 sided polygon
hendecagon (undecagon)
11 sided polygon
dodecagon
12 sided polygon
Polygon Exterior Angles Sum
360�
rectangle
a parallelogram with four right angles
If a parallelogram is a rectangle, then we know its angles are congruent, but its _______________ are also congruent.
diagonals
If the diagonals of a parallelogram are congruent, then the parallelogram is a ____________________
rectangle
The slopes of parallel lines are ____________
equal
The slopes of perpendicular lines are _______________ ________________ of each other
opposite reciprocals
Of both pairs of opposite sides of a quadrilateral are ______________, then the quadrilateral is a parallelogram
congruent
Of both pairs of opposite ____________ of a quadrilateral are congruent, then the quadrilateral is a parallelogram
angles
If the diagonals of a quadrilateral _____________ each other, then the quadrilateral is a parallelogram
bisect
If one pair of opposite sides of a quadrilateral are is both parallel and congruent, then the quadrilateral is a ___________________________.
parallelogram
slope formula
distance formula
midpoint formula
If a parallelogram is a rhombus, ...
then its diagonals are perpendicular
If a parallelogram is a rhombus, then each diagonal _____________ a pair of opposite angles
bisects
A ____________________ is a parallelogram with four congruent sides.
rhombus
A __________________ is a parallelogram with four congruent sides and four right angles.
square
If the _____________________________ of a parallelogram are perpendicular, then the parallelogram is a rhombus.
diagonals
If one diagonal of a parallelogram bisects two opposite angles of the parallelogram, then...
the parallelogram is a rhombus.
If one pair of consecutive _____ of a parallelogram is congruent, then the parallelogram is a rhombus.
sides
If a parallelogram is both a ____________________ and a rhombus, then it is a square.
rectangle
A trapezoid is a quadrilateral with exactly _______ pair of parallel sides.
one
The parallel sides of a trapezoid are called the _________________.
bases
The nonparallel sides of a trapezoid are called the _________________.
legs
A trapezoids has two pairs of ___________ ______________.
base angles
If the legs of a trapezoid are congruent, then the trapezoid is an _______________ __________________.
isosceles trapezoid
If a _________________ is isosceles, then its base angles are congruent.
trapezoid
If a trapezoid has one pair of ______________ base angles, then it is an isosceles trapezoid
congruent
A trapezoid is ______________ if and only if its diagonals are congruent.
isosceles
The ________________________ of a trapezoid connects the midpoints of the legs of the trapezoid.
midsegment
The midsegment of a trapezoid is parallel to each of its bases and is one-half the __________ of the lengths of the bases.
sum
A quadrilateral is a kite if it has exactly two pairs of _____________________ congruent sides.
consecutive
If a quadrilateral is a kite, then its diagonals are __________________.
perpendicular
If a quadrilateral is a kite, then it is exactly one pair of ____________ angles congruent.
opposite