Quadrilateral ABCD has coordinates A (3, 1), B (4,4), C (7,5), D (6,2). Quadrilateral ABCD is a

rectangle, because opposite sides are congruent and adjacent sides are perpendicular

square, because all four sides are congruent and adjacent sides are perpendicular

parallelogram, because opposite sides are congruent and adjacent sides are not perpendicular

rhombus, because all four sides are congruent and adjacent sides are not perpendicular

Quadrilateral ABCD is a rhombus, because all four sides are congruent and adjacent sides are not perpendicular .

Step-by-step explanation:

Given :

A quadrilateral with its coordinates as follows:

Where  A (3, 1), B (4,4), C (7,5), D (6,2).

We will measure the length of the congruent sides by applying distance formula.

Distance formula =

So,

AB =

BC =

CD =

DA =

From the above measurement and looking into the diagram we can conclude that the Quadrilateral ABCD is a rhombus.

In rhombus the adjacent sides are not perpendicular and its diagonals are of different length.

Option D is the correct choice.

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