Question

Point X (-1, 6) is rotated 90 degrees about the origin using the transformation rule (x, y) --> (-y, x). What is the ordered pair of the Image X'? Please write your response as (x, y),

Answer 1

The coordinates of the ordered pair of the Image X' are: X'(-6, -1)

Explanation:

When a point A(x, y) is rotated 90° counterclockwise around the origin, we flip x and y and reverse the sign of y.

Thus,

The rule to rotate a point A(x, y) after a rotation 90° counterclockwise around the origin is:

A(x, y) → A'(-y, x)

In our case, the point X (-1, 6) is rotated 90° counterclockwise about the origin. Thus, the coordinates of P' will be:

A(x, y) → A'(-y, x)

X (-1, 6) → X'(-6, -1)

Therefore, coordinates of the ordered pair of the Image X' are: X'(-6, -1)