25 pts what is the rule for a reflection across the origin followed by a translation 9 units to the left and 7 units down?
a.
(x' , y') = (y + 9 , x + 7)
b.
(x' , y') = (-x - 9 , -y - 7)
c.
(x' , y') = (y - 9 , x - 7)
d.
(x' , y') = (-x + 9 , -y + 7)

B

Step-by-step explanation:

1. A reflection across the origin has a rule

2. A translation 9 units to the left and 7 units down has a rule

Then the rule for a reflection across the origin followed by a translation 9 units to the left and 7 units down is

This means that the point with coordinates (x,y) has the image with coordinates (x',y')=(-x-9,-y-7).

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.