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Sub 505 Level|   Geometry|            
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WILLBEATGMAT2011
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Square RSTU shown above is rotated in a plane about its center in a 08 Aug 2011, 18:36
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D
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85% (00:55) correct 15% (01:02) wrong based on 678 sessions

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Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for T to be in the position where S is now shown. The number of degrees through which RSTU is rotated is

(A) 135 degree
(B) 180 degree
(C) 225 degree
(D) 270 degree
(E) 315 degree

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D
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Square RSTU shown above is rotated in a plane about its center in a 09 Aug 2011, 04:36
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WILLBEATGMAT2011
Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for T to be in the position where S is now shown. The number of degrees through which RSTU is rotated is

(A) 135 degree
(B) 180 degree
(C) 225 degree
(D) 270 degree
(E) 315 degree
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Attachment:
Ques3.jpg
Ques3.jpg [ 6.47 KiB | Viewed 14056 times ]
From the options, I am assuming the positioning of S and T relative to each other to be as shown. To replace S by T, focus on OT. Say, you rotate OT clockwise (and with it the entire square) and bring it in place of OS. How many degrees did you go? You covered 3 right angles i.e. 270 degrees.
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Square RSTU shown above is rotated in a plane about its center in a 17 Sep 2017, 00:40
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Here if we conenct 2 diagonals we get center of square O.
Now assume O as center and T on circumference we are drawing a circle in clockwise direction.
So now to reach S from T => we moved from OT to OU to OR to OS
As diagonals intersect at 90 degree => OT to OU =90 then OU to OR =90 degree then OR to OS =90 degree rotation.
Total = 270 degrees

Answer: D
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Square RSTU shown above is rotated in a plane about its center in a 02 Jul 2019, 18:58
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WILLBEATGMAT2011

Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for T to be in the position where S is now shown. The number of degrees through which RSTU is rotated is

(A) 135 degree
(B) 180 degree
(C) 225 degree
(D) 270 degree
(E) 315 degree

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63.JPG
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Since we have a square, each rotation to the adjacent vertex is 360/4 = 90 degrees. From T to U is 90 degrees, from U to R is 90 degrees, and from R to S is 90 degrees, so the total is 270 degrees.

Answer: D
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Square RSTU shown above is rotated in a plane about its center in a 06 Sep 2025, 20:01
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