What is the image point of (-1,2) after the transformation R 90° ry=-x

Answer 1

You are asked to perform a composition of transformations

always remember to start from the rightmost transformation.

first we have to reflect the point (-1,2) about the line y=-x

the rule is (x,y) —> (-y,-x)

you get (-1,2)—>(-2,1)

now you have to rotate(-2,1) by 90 degrees

the rule is (x,y) —> ( -y,x)

so (-2,1)—> (-1,-2)

The image the point (-1,2)after transformation would be (-1,-2)

hope this helps!