Aquadrilateral has vertices a(4,5), b(2,4), c(4,3), and d(6,4) which statement about the quadrilateral is true a abcd is a parallelogram with noncongruent adj sides b abcd is a trapezoid with only one pair of parallel sides c abcd is a rectangle with noncongruent adj sides d abcd is a square e abcd is a rhombus with non perpendicular adj sides

Let's find the lengths of all sides:

.

All sides are congruent, then this quadrilateral may occur to be square or rhombus. Check whether sides AB and AD are perpendicular. With this aim you should find vectors and :

,

.

The dot product: . This means that sides AB and AD are not perpendicular and quarilateral ABCD is not square.

correct choice is E.

c

c

c

c

c

c

c

cc

c

step-by-step explanation: