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# The point (-3, 2) is rotated 90° clockwise around the origin to point

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Math Expert
Joined: 02 Sep 2009
Posts: 59725
The point (-3, 2) is rotated 90° clockwise around the origin to point  [#permalink]

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22 Mar 2019, 00:13
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Difficulty:

75% (hard)

Question Stats:

35% (01:47) correct 65% (02:19) wrong based on 34 sessions

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The point (-3, 2) is rotated 90° clockwise around the origin to point B. Point B is then reflected over the line x = y to point C. What are the coordinates of C?

(A) (-3, -2)
(B) (-2, -3)
(C) (2, -3)
(D) (2, 3)
(E) (3, 2)

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Joined: 25 Feb 2019
Posts: 335
Re: The point (-3, 2) is rotated 90° clockwise around the origin to point  [#permalink]

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22 Mar 2019, 01:53
IMO D

After 90 degree clockwise rotation, it goes to fiest quadrant , the point become (3,2 )

and the refelection around y=x ia given by changing the (x,y ) coordinate

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The point (-3, 2) is rotated 90° clockwise around the origin to point  [#permalink]

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22 Mar 2019, 02:27
Bunuel wrote:
The point (-3, 2) is rotated 90° clockwise around the origin to point B. Point B is then reflected over the line x = y to point C. What are the coordinates of C?

(A) (-3, -2)
(B) (-2, -3)
(C) (2, -3)
(D) (2, 3)
(E) (3, 2)

clockwise direction movement around origin will result (-3,2) to become ( 2,3)
the pt C coordinates x=y is 1st quadrant ; after which the coordinate gets reflected so point becomes 3,2
IMO E
The point (-3, 2) is rotated 90° clockwise around the origin to point   [#permalink] 22 Mar 2019, 02:27
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