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In the given diagram, ABCD is a square and the coordinate of B is (5,5

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Bunuel
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In the given diagram, ABCD is a square and the coordinate of B is (5,5 [#permalink] New post   03 Jul 2020, 04:03
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In the given diagram, ABCD is a square and the coordinate of B is (5,5). If the length of each side is 2 units and AB is parallel to the y-axis, find the coordinate of D.

A. (3,5)
B. (5,3)
C. (7,3)
D. (7,5)
E. (7,7)


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C
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yashikaaggarwal
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Re: In the given diagram, ABCD is a square and the coordinate of B is (5,5 [#permalink] New post   03 Jul 2020, 04:29
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Distance between A and B = 2, also X = 5 since B is perpendicular to A
Coordinate of A = (5,Y)
2 = √(5-5)^2+(5-Y)^2
2 = √(5-Y)^2
4 = (5-Y)^2
2 = (5-Y)
Y = 3

Coordinate of A = (5,3)

Distance between A and D = 2
also Y = 3 since AD is a straight line parallel to X axis, therefore the coordinates of D = (X,3)
2 = √(X-5)^2+(3-3)^2
2 = √(X-5)^2
4 = (X-5)^2
2 = (X-5)
X = 7
Therefore,
Coordinate of D = (7,3)

Answer is C

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Re: In the given diagram, ABCD is a square and the coordinate of B is (5,5 [#permalink] New post   03 Jul 2020, 04:12
Explanation:

ABCD is a square and the coordinate of B is (5,5).
The length of each side is 2 units. So Point A will be (5,3)
Point D will be (7,3)

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Re: In the given diagram, ABCD is a square and the coordinate of B is (5,5 [#permalink] New post   03 Jul 2020, 05:06
C is the answer

Coordinate of B is (5,5) and side of Square is 2 each. So coordinates of A is (5,3)

Subsequently coordinates of D is (7,3)
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Re: In the given diagram, ABCD is a square and the coordinate of B is (5,5 [#permalink] New post   03 Jul 2020, 05:36
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Bunuel wrote:

In the given diagram, ABCD is a square and the coordinate of B is (5,5). If the length of each side is 2 units and AB is parallel to the y-axis, find the coordinate of D.

A. (3,5)
B. (5,3)
C. (7,3)
D. (7,5)
E. (7,7)


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Solution


    • In square ABCD,
      o B is (5,5)
      o AB is parallel to the y-axis
         It means, both B and A will have same x – coordinate.
      o And, the length of each side is 2 units.
         Thus, the co-ordinates of point A = (x-coordinate of B , (y-coordinate of B \(-2\))) \(= (5,3)\)
    • Since, AB is parallel to y axis and AD is perpendicular to AB
      o It means, AD is parallel to x-axis.
         So, both A and D will have same y – coordinate.
      o And as the length of each side is 2 units.
         Thus, the co-ordinates of point D = ((x-coordinate of A \(+2\)), y-coordinate of A) \(= (7,3)\)
Thus, the correct answer is Option C.
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Re: In the given diagram, ABCD is a square and the coordinate of B is (5,5 [#permalink]
03 Jul 2020, 05:36
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