Question

Point G is rotated 90ﾟ the coordinate of the pre image point G was (7 ,-5), and its image G is at coordinate (5, 7) what is the direction of the rotation

Answer 1

counterclockwise

Explanation:

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Answer 2

Answer: The direction of the rotation is counterclockwise about the origin.

Explanation:

• A Rotation is a transformations in which a figure is rotated about a specific point, which is the know as "Center of rotation".

• Rotation is described in terms of degrees.

• The initial figure is called "Pre-image" and the rotated figure is called "Image".

• According to Rule for 90° counterclockwise rotation about the origin:

`(x,y)` →
`(-y, x)`

In this case, we can observe that the coordinates of the Pre-image of the Point G are:

`(7 ,-5)`

And the coordinates of its Image are:

`(5, 7)`

Then:

`(x,y)` →
`(-y, x)`

`(7 ,-5)` →
`(5, 7)`

Therefore, the direction of the rotation is counterclockwise about the origin.