Mathematics, 21.01.2020 20:31 Jana1517
Which statement best describes a parallelogram with coordinates a (-1, 0), b (-4, 5), c (1, 8) and d (4, 3)? a. the diagonals are congruent which means the quadrilateral is a rectangle. b. the diagonals are perpendicular which means the quadrilateral is a rhombus. c. the diagonals are both congruent and perpendicular which means the quadrilateral is a square. d. the diagonals are neither congruent nor perpendicular, which means the quadrilateral is a parallelogram only.
Answers: 1
![A(x_{1},y_{1})=A(-1,10) \\ \\ C(x_{2},y_{2})=C(1,8) \\ \\ \\ d_{1}=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\ \\ d_{1}=\sqrt{[1-(-1)]^2+(8-10)^2}=2\sqrt{2}](/tpl/images/0464/4728/8d3c5.png)
![B(x_{1},y_{1})=B(-4,5) \\ \\ D(x_{2},y_{2})=D(4,3) \\ \\ \\ d_{2}=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\ \\ d_{2}=\sqrt{[4-(-4)]^2+(3-5)^2}=2\sqrt{17}](/tpl/images/0464/4728/e3776.png)
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Which statement best describes a parallelogram with coordinates a (-1, 0), b (-4, 5), c (1, 8) and d...
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