6.6 Special Quadrilaterals
Example Quad ABCD has at least one pair of opp sides What kinds of quads could it be? Parallelogram Rhombus Rectangle Square Isosceles Trapezoid
ABCD has at least 2 consecutive sides, What quads meet this condition? Square Kite Rhombus
The coordinates of ABCD are A(-2,5), B(1,8) C(4,5) D(1,2). Show that ABCD is a rhombus. 1 way: use Distance formula AB= BC= CD= DA= All four sides , so it is a rhombus.
Example cont. Another way: use Slope Formula m of seg AB= m of seg CD= m of seg BC= m of seg DA = Opp sides are ll, so it is a parallelogram. Now show that the diags are to prove it’s a rhombus.
Example cont. Check slope of diags. m of seg AC= m of seg BD = Diagonals are , so it’s a rhombus. ** This shape is also a square!