Rectangle pqrs has vertices p(1, 4), q(6, 4), r(6, 1), and s(1, 1). without graphing, find the new coordinates of the vertices of the rectangle after a reflection over the x-axis and then another reflection over the y-axis.

P(1, 4), Q(6, 4), R(6, 1), and S(1, 1)

New coordinates of the rectangle after a reflection over the x-axis is:

P'(1, -4), Q'(6, -4), R'(6, -1), and S'(1, -1)

New coordinates of the rectangle after a reflection over the y-axis is:

P"(-1, 4), Q"(-6, 4), R"(-6, 1), and S"(-1, 1)

.

step-by-step explanation:

hjkj

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c