Which of the following are rules used for rotating a figure counterclockwise about the origin? select all that apply.
(x, y) → (-x, -y)
(x, y) → (-x, y)
(x, y) → (x, -y)
(x, y) → (y, -x)
(x, y) → (-y, x)

answer: a., d and e

a. (x, y) → (-x, -y), for 180° ccw

d. (x, y) → (y, -x), for 270° ccw

e. (x, y) → (-y, x), for 90° cc

step-by-step explanation:

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

i don't know, but that looks pretty bad. my school passed us unless we failed in all the subjects, but idk abt ur school's rules.

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