The image of a point after a reflection over the line y = –x is (7, –1). find the coordinates of the preimage.

a.

(–7, –1)
b.

(–7, 1)
c.

(–1, 7)
d.

(1, –7)

D. (1,-7)

Step-by-step explanation:

It is given that:

The image of a point after a reflection over the line y = –x is (7, –1).

We have to find:

The coordinates of the preimage.

After reflecting over the line y=-x, the point (x,y) is converted to (-y,-x)

given (-y,-x)=(7,-1)

this implies that y=-7 and x=1

Hence, the coordinates of the preimage are:

   D. (1,-7)

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.