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Rectangle ABCD lies in the xy -plane. The co-ordinates of point A, B a
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28 Aug 2023, 01:56
28 Aug 2023, 01:56
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Rectangle ABCD lies in the xy -plane. The co-ordinates of point A, B and C respectively are (3, 5), (8, 2) and ( 11, 7). Find the coordinates of point D ?
A. (4.5, 7.5)
B. (4, 3)
C. (6, 10)
D. (7.5, 12.5)
E. (15, 9)
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A. (4.5, 7.5)
B. (4, 3)
C. (6, 10)
D. (7.5, 12.5)
E. (15, 9)
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Re: Rectangle ABCD lies in the xy -plane. The co-ordinates of point A, B a
[#permalink]
10 Sep 2023, 09:32
10 Sep 2023, 09:32
1
Given the points (3, 5), (8, 2), and (11, 7). Since it's a rectangle, the last point would make up the side parallel to the points (8, 2) and (11, 7). Since it's parallel, it has the same slope. The slope between these two points is +3 x-axis and +5 y - axis. Using the point (3, 5), (3+3, 5+5) means the last point (6, 10). Choice C.
Re: Rectangle ABCD lies in the xy -plane. The co-ordinates of point A, B a
[#permalink]
04 Oct 2023, 09:09
04 Oct 2023, 09:09
jiayou111 wrote:
Given the points (3, 5), (8, 2), and (11, 7). Since it's a rectangle, the last point would make up the side parallel to the points (8, 2) and (11, 7). Since it's parallel, it has the same slope. The slope between these two points is +3 x-axis and +5 y - axis. Using the point (3, 5), (3+3, 5+5) means the last point (6, 10). Choice C.
I don't understand why D should be a vertex on the line parallel to points B (8,2) and C (11,7)? The way rectangles are named, BC is generally the diagnal. Although, with seeing CD as parrallel to AB, I don't arrive any of the listed options. Can someone please suggest where I could be going wrong? Thanks!
CC: Carcass sir
