Square RSTU shown above is rotated in a plane about its

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Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 amFollowed by: 2 members

by Gmat_mission » Sun Jun 30, 2019 8:57 am

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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

[spoiler]OA=D[/spoiler]

Source: Official Guide

Source: Beat The GMAT — Problem Solving | Sun Jun 30, 2019 8:57 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Tue Jul 02, 2019 5:50 pm

Gmat_mission wrote:
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

[spoiler]OA=D[/spoiler]

Source: Official Guide

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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