Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
3. Rotations
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Exercise 50 Page 567

A 90^(∘) rotation counterclockwise about the origin will change the coordinates of the vertices such that (a,b)→ (- b,a).

A

Practice makes perfect
When a point is rotated 90^(∘) counterclockwise about the origin, the coordinates of the image will change in the following way.

(a,b)→ (- b,a) Using this rule and the point, we can find the x- and y-coordinates of the image.

(a,b) (- b,a)
(1,- 6) (6,1)

Therefore, the correct answer is A.