~ 8 ~
10. Quadrilateral JKLM has vertices J (4, 7), K (11, 0), L (7, 0),
and M (4, 3). Prove quadrilateral JKLM is an isosceles
trapezoid.
11. Quadrilateral TRAP has vertices T(-3,0), R(-3,5), A(6,8),
and P(9,4). Prove that quadrilateral TRAP is an isosceles
trapezoid.
Quadrilaterals
Parallelogram
-using distance formula, prove that opposite
sides are congruent
Rhombus
-using distance formula, prove that all sides are
congruent
Rectangle
-using distance formula, prove that opposite
sides are congruent (parallelogram) and diagonals
are congruent
Square
-using distance formula, prove that all sides are
congruent
-using slope formula, prove that there are four
right angles (perpendicular sides)
Trapezoid
-using slope formula, prove one pair of sides is
parallel (same slope), and the other pair is not
(different slope)
Isosceles Trapezoid
-using slope formula, prove one pair of sides is
parallel (same slope), and the other pair is not
(different slope)
-using distance formula, prove the non-parallel
sides are congruent