The set of points (-3, 4), (-1, 1), (-3,-2), and (-5,1) identifies the vertices of a quadrilateral. Which is the most specific description to tell which figure the points form? parallelogram
please help

Option (4). Rhombus

Step-by-step explanation:

From the figure attached,

Distance AB =

                     =

                     =

                     =

Distance BC =

                     =

                     =

Distance CD =

                     =

                     =

Distance AD =

                     =

                     =

Slope of AB () =

                           =

                           =

Slope of BC () =

                            =

If AB and BC are perpendicular then,

But it's not true.

[ = -]

It shows that the consecutive sides of the quadrilateral are not perpendicular.

Therefore, ABCD is neither square nor a rectangle.

Slope of diagonal BD =

                                    = Not defined (parallel to y-axis)

Slope of diagonal AC =

                                    = 0 [parallel to x-axis]

Therefore, both the diagonals AC and BD will be perpendicular.

And the quadrilateral formed by the given points will be a rhombus.

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step-by-step explanation:

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