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# If OABC is a rectangle, what is the value of (p,q)?

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If OABC is a rectangle, what is the value of (p,q)?  [#permalink]

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15 Oct 2019, 22:35
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Difficulty:

5% (low)

Question Stats:

87% (00:30) correct 13% (00:36) wrong based on 55 sessions

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If $$OABC$$ is a rectangle, what is the value of $$(p,q)$$?

A. (5,7)

B. (5,5)

C. (7,5)

D. (0,0)

E. (7,7)

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Re: If OABC is a rectangle, what is the value of (p,q)?  [#permalink]

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20 Oct 2019, 10:03
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Attachment:
A.jpg

If $$OABC$$ is a rectangle, what is the value of $$(p,q)$$?

A. (5,7)

B. (5,5)

C. (7,5)

D. (0,0)

E. (7,7)

B must have an x-coordinate of 7 and a y-coordinate of 5.

Thus, (p,q) = (7,5).

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Re: If OABC is a rectangle, what is the value of (p,q)?  [#permalink]

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18 Oct 2019, 07:25
Attachment:
A.jpg

If $$OABC$$ is a rectangle, what is the value of $$(p,q)$$?

A. (5,7)

B. (5,5)

C. (7,5)

D. (0,0)

E. (7,7)

Its a rectangle so opp, sides will be equal. So OC =AB , we know OC =7 for AB to be 7, P has to be 7
Similarly AO= BC, we know AO=5 , so for BC to be 5, Q needs to be 5 , so P = 7 and Q = 5
Ans- C
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Re: If OABC is a rectangle, what is the value of (p,q)?  [#permalink]

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24 Oct 2019, 00:03

Official Explanation

Since OABC is a rectangle, we know that

• AB is parallel to the x-axis, and thus points A and B have the same y-value, 5.

• BC is parallel to the y-axis, and thus points C and B have the same x-value, 7.

Thus, the coordinates for point B is (7,5).
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Re: If OABC is a rectangle, what is the value of (p,q)?   [#permalink] 24 Oct 2019, 00:03
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