Figure ABCS is rotated 90 degrees counter clock wise about the origin. Which of the following gives the correct measure if an image if one of its sides?

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05-06-2014
Mathematics

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Figure ABCS is rotated 90 degrees counter clock wise about the origin. Which of the following gives the correct measure if an image if one of its sides?

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AL2006 AL2006 · Answer 1 · 2014-06-06T01:06:28-04:00

Nothing here makes sense.

-- The question talks about "Figure ABCS", but the picture is ABCD .
Where is 'S' ?

OK. Let's assume that it's really talking about Figure ABCD. Then
the whole problem is loaded with nonsense and red herrings.

-- When a figure is rotated, translated, or both rotated AND translated,
why should the length of any of its sides change ? You can just as well
forget all about the rotation, and just check out the length of the sides
as they sit in the drawing.

-- The third choice is there just to see who has a clue and who has none.
What in the world is "DD" ? It may apply to an article of women's clothing,
but it certainly has no relevance to this drawing. The distance from 'D' to
'D' is zero.

-- The side BC is 1 unit wide and 3 units high.
Its length is √(1+ 9) = √√10 .
So the first choice is not true.

-- The side CD is 4 unit wide and 1 unit high.
Its length is √(16 + 1) = √17.
The second choice is true.

But wait ! Don't go away.

-- As we've said, "DD" is a zero distance.
So the third choice is nonsense.

-- Side AB is 4 units wide and 1 unit high.
Its length is √(16 + 1) = √17 .
The fourth choice is also true.