Which statement correctly describes a 90° counterclockwise rotation about the origin of any point (a, b)?   A. (a, b) →→ (b, -a)     B. (a, b) →→ (-b, a)     C. (a, b) →→ (a, b)     D. (a, b) →→ (-a, -b)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 48E: Consider the point Ca,b. What is the image of C after a counterclockwise rotation of a 90 about the...
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Which statement correctly describes a 90° counterclockwise rotation about the origin of any point (a, b)?

 

A.
(a, b) →→ (b, -a)
 
 
B.
(a, b) →→ (-b, a)
 
 
C.
(a, b) →→ (a, b)
 
 
D.
(a, b) →→ (-a, -b)
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