What set of reflections would carry trapezoid abcd onto itself?

a. x-axis, y=x, y-axis, x-axis

b. x-axis, y-axis, x-axis

c. y=x, x-axis, x-axis

d. y-axis, x-axis, y-axis, x-axis

D

Step-by-step explanation:

y-axis reflection transform from (h,k) to (-h,k)

x-axis reflection transform from (h,k) to (h,-k)

Sequence y-axis, x-axis, y-axis, x-axis reflections gives

(h,k) -> (-h,k) -> (-h,-k) -> (h,-k) -> (h,k)

Notice that this result is valid for any figure

the furthest the dog can be is 508 meters away from the house, and the closest he can be is 492 meters away from the house.

a:

step-by-step explanation:

a