Quadrilateral MNOP was translated 5 units to the right and 4 units down. Which rule describes the translation that was applied to quadrilateral MNOP to create quadrilateral M′N′O′P′?

(x, y) ⇒ (x + 5, y - 4)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Translation is the movement of a point either up, down, left or right. If a point A(x, y) is translated a units right and b units up, the new location of the point is at A'(x + a, y + b) while if a point A(x, y) is translated a units left and b units down, the new location of the point is at A'(x - a, y - b).

Since Quadrilateral MNOP was translated 5 units to the right and 4 units down to create quadrilateral M′N′O′P′, the rule that was applied was:

(x, y) ⇒ (x + 5, y - 4)

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

idk u tell me

step-by-step explanation: