Quadrilateral

Question

What is the most precise name for quadrilateral ABCD with vertices A(-5,7), B(6,-3), C(10,2), D(-1,12)?

Answer 1

The following chart uses the slope and distance formulas:

 

                                 Slope               Distance

 

  AB                         -10/11                sqrt(121 + 100) = sqrt(221)

  BC                           5/4                  sqrt ( 16 +25) = sqrt(41)

  CD                           -10/11            sqrt ( 121 + 100) = sqrt(221)

  AD                           5/4                sqrt( 16+25) = sqrt(41)

 

 

opposite sides are parallel and congruent

adjacent sides are NOT perpendicular

 

 

Parallelogram