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10 Nov 2020, 02:15
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E
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Difficulty:
75%
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Question Stats:
50% (02:00) correct
50%
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wrong
based on 121
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If triangle ABC is rotated 180° about point C, and then reflected over the y-axis, what will be the coordinate of B?
A. (–1,–2)
B. (9,1)
C. (9,–1)
D. (–1,2)
E. (–9,–1)
Attachment:
2020-11-10_13-00-52.png [ 14.27 KiB | Viewed 4823 times ]
12 Nov 2020, 07:41
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Bunuel
Look at the figure below:
Attachment:
Graph Paper.jpg [ 83.97 KiB | Viewed 4336 times ]
Hence the coordinates of B are ( -9,-1)
Ans-E
Hope it's clear.
sabrinaZ
Hi sabrinaZ,
To rotate 180 you need to take Line A- C and rotate clockwise 180 , so the new position will be A' - C as shown in the figure. Position of B will change, it will no longer be on top but below as shown by position B'.
Attachment:
Gmat rotation.png [ 5 KiB | Viewed 3800 times ]
What you have done is rotated 180 degrees about point B that too on a three dimensional plane that way point B remains in its original position, but that is not the proper way. Consider the figure in a 2 dimensional aspect and rotate 180 degrees about point C.
Hope it's clear
