Question

A triangle is rotated 90° about the origin. Which rule describes the transformation? (x, y) →(–x, –y) (x, y) → (–y, x) (x, y) → (–y, –x) (x, y) → (y, –x)

Answer 1

Answer:

Rule of 90° rotation ( clockwise) is that

(x,y)→(y,-x)

and counter is ( x,y)→(- y,X)

we have given a triangle is rotated 90°

therefore rule of clockwise and counter clockwise ,applied.

Answer 2

b) (x,y) → (-y,x)

A rotation basically transforms a plane that reverses all the points of a pre image at a specified angle and direction along with a fixed point.

On rotating a point with some coordinate about the origin at 90° angle, the x coordinate will now become y coordinate and the y coordinate will be changed to the opposite and will become x coordinate.

we can write it as

(x,y) → (-y,x)

Therefore, a rule that describes the transformation of a point on rotation at 90° about origin will be (x,y) → (-y,x)