The point m(x, y) is reflected over the x-axis. write a translation rule to describe the original point and its reflection.

a. (x,> (x, y)
b. (x,> (-x, y)
c. (x, y) > (-x, -y)
d. (x, y) > (x,-y)

Option: D is the correct answer.

The translation rule to describe the original point and its reflection is:

          D.   (x,y) → (x,-y)

We know that when a point located at (x,y) on the coordinate plane is reflected over by the x-axis then the rule of transformation that holds true for this kind of transformation is:

           (x,y) → (x,-y)

Hence,  M(x,y) → M'(x,-y)

Option: D is the answer.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi