Title: Diagonals
1Properties of Special Quadrilaterals
If a quadrilateral is a parallelogram,
Opp. Sides are __________
Opp. Sides are ________
Opp. Angles are ________
Consecutive Angles are ________
Diagonals _______ each other
1
2Proving that a Quadrilateral is a Parallelogram,
Rectangle, Rhombus, or Square
If a quad. has one pair of opp. sides ___
___
If a quad. has both pairs of opp. sides
____,
If a quad. has both pairs of opp. sides
____,
If one angle of a quad. is _______ to both of
its consecutive angles,
If a quad. has both pairs of opp. angles
____,
then it is a parallelogram
If the diagonals of a quad. _______ each
other,
If a parallelogram has
_______ diagonals
One _____ angle
One diagonal that _______ a pair of _____
angles
_________ diagonals
One pair of congruent _________ sides
then it is a rectangle
then it is a rhombus
then it is a square
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3Properties of Trapezoids and Kites
Trapezoid Quad. with exactly ___ pair of
_______sides
______ diagonals
___ pairs of ______ base angles
______ legs
The midsegment of a trapezoid is ______ to each
base, and its length is ½ the ____ of the lengths
of the bases.
Exactly __ pairs of ______ consecutive sides
Exactly ___ pair of ______ opp. angles
___ diagonals
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4Distance, Midpoint, and Slope
Distance between 2 points -Use the Pythagorean Thm
Midpoint (average x, average y) ( (71)/2,
(91)/2 )
y
(3, 6)
rise 6 - 1 5 units
run 3 - 1 2 units
(1, 1)
x
4