Quadrilateral abcd is translated down and left to form quadrilateral olmn. if ab = 6 units, bc = 5 units, cd = 8 units, and ad = 10 units, what is lo?

Step-by-step explanation:

The translation means that the quadrilateral ABCD just was moved and each length is exactly the same.

So, according to the problem ABCD was translated to OLMN, from this we can conclude that AB = OL, BC = LM, CD = MN and NO = DA.

Therefore, if AB = 6 units, then OL = 6 units too, and OL = LO, because every segment is reflexive and symmetric, which means that from point O to point L has the same length as from point L to point O.

Therefore, the LO segment is 6 units long.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the answer is b.

step-by-step explanation: