Question

The points$(0,1),(-2,3),(6,7),(8,3)$ form

• A. a parallelogram
• B. a rectangle
• C. a rhombus
• D. a quadrilateral

Answer 1

Answer: (D)

a quadrilateral

$(0,1)$ $(-2,3)$ $(6,7)$ $(5,3)$

$A$ $B$ $C$ $D$

$AB=\sqrt{(-2{)}^2+(-3-1{)}^2}=2\sqrt{2}$

$BC=\sqrt{(6+2{)}^2+(7-3{)}^2}=4\sqrt{5}$

$CD=\sqrt{2^2+4^2}=2\sqrt{5}$

$DA=\sqrt{8^2+2^2}=2\sqrt{17}$

$AC=\sqrt{6^2+6^2}=2\sqrt{6}$

$BD=\sqrt{{10}^2}=10$

Neither of the sides are equal. then this is a general quadrilateral