Question

Question #c23c5

Answer 1

See below.

Explanation:

Marking as diagram. A rhombus has two sets of parallel sides of equal length, and a parallelogram has two sets of parallel sides but of unequal length. If the quadrilateral is a parallelogram then:

`AB !=BC`

Using the Distance Formula.

`d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)`

`AB=sqrt((7-2)^2+(10-3)^2)=sqrt(74)`

`BC=sqrt((9-7)^2+(4-10)^2)=sqrt(40)=2sqrt(10)`

`sqrt(74) > 2sqrt(10)`

`:.`

`AB!=BC`