Quadrilateral jklm has vertex coordinates j(2,4), k(6,1), l(2,-2), and m(-2,1). what type of quadrilateral is jklm?

Find lengths of quadrilateral sides:

,

,

,

.

Since all sides have the same lengths, you can state that this quadrilateral is rhombus.

Let's check whether quadrilateral JKLM is a square. To check this let find the lengths of diagonals:

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.