Question 1159255
The vertices of a quadrilateral are ({{{4}}},{{{6}}}), ({{{7}}},{{{2}}}), ({{{-1}}}, {{{-5}}}), and ({{{-4}}},{{{3}}}).


sketch first:


{{{drawing ( 600, 600, -10, 10, -10, 10,
circle(4,6,.12),locate(4,6,A(4,6)),
circle(7,2,.12),locate(7,2,B(7,2)),
circle(-1,-5,.12),locate(-1,-5,C(-1,-5)),
circle(-4,3,.12),locate(-4,3,D(-4,3)),
green(line(-4,3,4,6)),green(line(-4,3,-1,-5)),
green(line(-1,-5,7,2)),green(line(7,2,4,6)),
graph( 600, 600, -10, 10, -10, 10, 0)) }}} 


distance {{{DC}}}

*[invoke formula_distance -4, 3, -1, -5]

distance {{{DA}}}

*[invoke formula_distance -4, 3, 4, 6]

=>distance {{{DC=DA}}}


distance {{{AB}}}

*[invoke formula_distance 7, 2, 4, 6]

distance {{{CB}}}

*[invoke formula_distance 7, 2,-1, -5]


{{{AB<>CB}}}


no pair of lines is parallel

it shows that it is not any of those shapes in Multiple Choice