The point J(-2, 1) is rotated 270° counterclockwise around the origin. What are the coordinates of the resulting point, J′?

The coordinates of the point J' is (1,2)

Explanation:

Given that the point J(-2,1) is rotated about 270° about the origin.

Coordinates of the resulting point J':

Since, we know that, when rotating a point 270° counterclockwise about the origin, the point (x,y) becomes (y,-x) which means we switch the places of x and y coordinates and make x as negative.

Therefore, the transformation is given by

Using the above transformation, we have,

(-2,1) ⇒ (1,-(-2)) ⇒ (1,2)

Therefore, the resulting point of the coordinates of the point J' is (1,2)

(1,2)

Step-by-step explanation:

(1,2)

270° anticlockwise rotation is the same as 90° clockwise rotation

Which maps:

(x,y) ---> (y,-x)

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