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Three of the four vertices of a rectangle in the xy-coordina

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by alanforde800Maximus » Thu May 10, 2018 4:38 pm

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Three of the four vertices of a rectangle in the xy-coordinate plane are ( -3, 10), ( 2, 10), and (2, 1). What is the fourth vertex?

A) (-3,1)
B) (-3,2)
C) (-2,10)
D) (2,-3)
E) (3,10)

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by [email protected] » Thu May 10, 2018 8:02 pm
Hi alanforde800Maximux,

We're given 3 of the four vertices of a rectangle in the xy-coordinate plane: (-3, 10), ( 2, 10), and (2, 1). We're asked for the 4th co-ordinate.

Based on the three pairs of numbers, we see common X-coodinates (2) and Y-coordinates (10), meaning that the rectangle is parallel with the X-axis and Y-axis. By extension, the 4th coordinate must 'pair up' the remaining numbers: (-3 and 1).

Final Answer: A

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by alanforde800Maximus » Sat May 12, 2018 7:13 am
[email protected] wrote:Hi alanforde800Maximux,

We're given 3 of the four vertices of a rectangle in the xy-coordinate plane: (-3, 10), ( 2, 10), and (2, 1). We're asked for the 4th co-ordinate.

Based on the three pairs of numbers, we see common X-coodinates (2) and Y-coordinates (10), meaning that the rectangle is parallel with the X-axis and Y-axis. By extension, the 4th coordinate must 'pair up' the remaining numbers: (-3 and 1).

Final Answer: A

GMAT assassins aren't born, they're made,
Rich
Hello "@Rich,"

Can we solve this question using any other method also such as calculating distance b/w coordinates or any slop method?
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by [email protected] » Sat May 12, 2018 1:05 pm
Hi alanforde800Maximux,

The easiest approach to this question is arguably to graph the three points that we're given and 'connect the dots.' You will end up seeing the "top" and "right side" of the rectangle. With those sides, you won't need to do any math - you'll just need to draw in the two remaining sides and you'll have the missing co-ordinate.

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by alanforde800Maximus » Mon May 14, 2018 12:11 am
[email protected] wrote:Hi alanforde800Maximux,

The easiest approach to this question is arguably to graph the three points that we're given and 'connect the dots.' You will end up seeing the "top" and "right side" of the rectangle. With those sides, you won't need to do any math - you'll just need to draw in the two remaining sides and you'll have the missing co-ordinate.

GMAT assassins aren't born, they're made,
Rich
Thanks Rich!
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