Name: ________________________________
Proving Quadrilaterals Using Coordinate Geometry
Distance Formula**: used to show segments are
.
Slope Formula: used to show segments are
.
Parallelogram (choose one of the following)
1) Slope formula – Both pairs of opp. sides
2) Distance formula – Both pairs of opp. sides
3) Slope & Distance formulas – One pair of opp. sides
AND
Kite
Distance formula – Exactly two pairs of
sides
**any time Distance Formula is mentioned, remember there is an alternate method using Pythagorean Theorem!
Rectangle (choose one after showing it’s a parallelogram)
Show it’s a parallelogram first AND…
1) Slope formula – Four right angles
(slopes must be
)
2) Distance formula – Diagonals
Trapezoid
Slope formula – Exactly one pair of
sides
Isosceles Trapezoid
Show it’s a trapezoid first AND…
Distance formula – Legs
Rhombus (choose one after showing it’s a parallelogram)
Show it’s a parallelogram first AND…
1) Slope formula – Diagonals
(slopes must be opp. reciprocals)
2) Distance formula – All sides
Square
Show it’s a parallelogram AND rectangle AND rhombus
Name: ________________________________
Proving Quadrilaterals Using Coordinate Geometry
Distance Formula**: used to show segments are
.
Slope Formula: used to show segments are
.
Parallelogram (choose one of the following)
1) Slope formula – Both pairs of opp. sides
2) Distance formula – Both pairs of opp. sides
3) Slope & Distance formulas – One pair of opp. sides
AND
Kite
Distance formula – Exactly two pairs of
sides
**any time Distance Formula is mentioned, remember there is an alternate method using Pythagorean Theorem!
Rectangle (choose one after showing it’s a parallelogram)
Show it’s a parallelogram first AND…
1) Slope formula – Four right angles
(slopes must be
)
2) Distance formula – Diagonals
Rhombus (choose one after showing it’s a parallelogram)
Show it’s a parallelogram first AND…
1) Slope formula – Diagonals
(slopes must be opp. reciprocals)
2) Distance formula – All sides
Square
Show it’s a parallelogram AND rectangle AND rhombus
Trapezoid
Slope formula – Exactly one pair of
Isosceles Trapezoid
Show it’s a trapezoid first AND…
Distance formula – Legs
sides