Match the given points with the class of shapes they create when the points are graphed (and appropriately connected with straight line segments) on the coordinate plane:
(0,0), (a, 0), (b, c), and (a-b, c) Note: cannot equal zero_ a and b are positive, a is greater than or equal to b b cannot be equal to one-half of a.
square
kite
(0, 0), (a, 0), (b, c) (b, ~c) Note: a, b, and are greater than zero, and cannot be equal to b
isosceles trapezoid
parallelogram
(a,0), (-a, 0), (0,a), and (0,-a) Note: cannot equal zero
rectangle
(a, b), (-a, -b); (c, d), and (-C, -d) Note: a, b C, and d are greater than zero, (c, d) cannot lie on the line that goes through (a, b) and (-a, -b):
rhombus
trapezoid
the given points do not match any of the classes of shapes given
(a, b); (b, a); (-a,-b), and (-b, ~a) Note: the absolute values of a and b cannot be equal