The coordinates of the vertices of​ quadrilateral ABCD ​ are A(−4, −1) , B(−1, 2) , C(5, 1) , and D(1, −3) . Drag and drop the choices into each box to correctly complete the sentences. The slope of ​ AB¯¯¯¯¯ ​ is , the slope of ​ BC¯¯¯¯¯ ​ is , the slope of CD¯¯¯¯¯ is , and the slope of ​ AD¯¯¯¯¯ ​ is . Quadrilateral ABCD a parallelogram because .

Answer:Part 1) [tex]m_A_B=1[/tex] Part 2) [tex]m_B_C=-\frac{1}{6}[/tex] Part 3) [tex]m_C_D=1[/tex] Part 4) [tex]m_A_D=-\frac{2}{5}[/tex] Step-by-step explanation:we know thatIn a parallelogram opposite sides are parallel and congruentThe formula to calculate the slope between two points is equal to [tex]m=\frac{y2-y1}{x2-x1}[/tex] we haveA(−4, −1) , B(−1, 2) , C(5, 1) , and D(1, −3)step 1Find the slope ABsubstitute in the formula[tex]m=\frac{2+1}{-1+4}[/tex] [tex]m=\frac{3}{3}[/tex] [tex]m_A_B=1[/tex] step 2Find the slope BCsubstitute in the formula[tex]m=\frac{1-2}{5+1}[/tex] [tex]m=\frac{-1}{6}[/tex] [tex]m_B_C=-\frac{1}{6}[/tex] step 3Find the slope CDsubstitute in the formula[tex]m=\frac{-3-1}{1-5}[/tex] [tex]m=\frac{-4}{-4}[/tex] [tex]m_C_D=1[/tex] step 4Find the slope ADsubstitute in the formula[tex]m=\frac{-3+1}{1+4}[/tex] [tex]m=\frac{-2}{5}[/tex] [tex]m_A_D=-\frac{2}{5}[/tex] step 5Compare the slopesRemember thatIf two lines are parallel, then their slopes are the samesoAB is parallel to CDBC is not parallel to ADthereforeQuadrilateral ABCD is not a parallelogram because the opposite sides are not parallel