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# 6.6 Special Quads. - • m of seg AB= • m of seg CD= •...

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Example Quad ABCD has at least one pair of opp sides 2245 . What kinds of quads could it be? Parallelogram Rhombus Rectangle Square Isosceles Trapezoid
ABCD has at least 2 2245 consecutive sides, What quads meet this condition? Square Kite Rhombus

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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= 18 9 9 ) 5 8 ( ) 4 1 ( 2 2 = + = - + - 18 9 9 ) 8 5 ( ) 1 2 ( 2 2 = + = - + - - 18 9 9 ) 2 5 ( ) 1 4 ( 2 2 + + = - + - 18 9 9 ) 5 2 ( )) 2 ( 1 ( 2 2 = + = - + - - All four sides 2245 , so it is a rhombus.
Example cont. Another way: use Slope Formula

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Unformatted text preview: • m of seg AB= • m of seg CD= • m of seg BC= • m of seg DA = 1 3 3 ) 2 ( 1 5 8 = =---1 3 3 1 4 2 5 = =--1 3 3 4 1 5 8-=-=--1 3 3 ) 2 ( 1 5 2-=-=---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 = 6 4 2 5 5 =-=--. 6 1 1 2 8 undef = =--Diagonals are ⊥ , so it’s a rhombus. ** This shape is also a square! Assignment Assignment...
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