Hello,
Can you please help with this? Thanks a lot.
Regards,
Sri
OA: [spoiler]xcoordinate: 5 ycoordinate: 3[/spoiler]
A square with area 25 has one vertex on point (2, 1) in the
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Hi Sri,
This IR question is based on one particular graphing concept: when you draw a diagonal line on a graph, you can draw a right triangle with THAT diagonal line as its hypotenuse.
This prompt tells us that we're dealing with a square that has an area of 25, so it's side lengths all equal 5. With the coordinate (2,1) as a vertex, we're looking for ANOTHER vertex that is "5 away."
The most common triangle on the GMAT with a hypotenuse of 5 is a "3/4/5 right triangle", so I'd be looking for THAT pattern among the answer choices. Is one of the numbers 3 or 4 "away" from 2? Is another 4 or 3 "away" from 1?
"5" is "3 away" from 2.
"3" is "4 away from 1.
So, [spoiler](5,3) is the vertex.[/spoiler]
GMAT assassins aren't born, they're made,
Rich
This IR question is based on one particular graphing concept: when you draw a diagonal line on a graph, you can draw a right triangle with THAT diagonal line as its hypotenuse.
This prompt tells us that we're dealing with a square that has an area of 25, so it's side lengths all equal 5. With the coordinate (2,1) as a vertex, we're looking for ANOTHER vertex that is "5 away."
The most common triangle on the GMAT with a hypotenuse of 5 is a "3/4/5 right triangle", so I'd be looking for THAT pattern among the answer choices. Is one of the numbers 3 or 4 "away" from 2? Is another 4 or 3 "away" from 1?
"5" is "3 away" from 2.
"3" is "4 away from 1.
So, [spoiler](5,3) is the vertex.[/spoiler]
GMAT assassins aren't born, they're made,
Rich

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This doesn't make sense?
In the (negative, negative) range is only one coordinate (7,4) but that's clearly not an option. Could someone explain it in a different way?
The points of the OA and the given point, don't even form a square together?
In the (negative, negative) range is only one coordinate (7,4) but that's clearly not an option. Could someone explain it in a different way?
The points of the OA and the given point, don't even form a square together?
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Hi confused13,
You assume that the square has to be parallel with the Xaxis and the Yaxis, but the prompt DID NOT state that. The solution to this question has the square placed "diagonally."
GMAT assassins aren't born, they're made,
Rich
You assume that the square has to be parallel with the Xaxis and the Yaxis, but the prompt DID NOT state that. The solution to this question has the square placed "diagonally."
GMAT assassins aren't born, they're made,
Rich

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Hi confused13,
It's still a square (it has to be; the prompt says so). To help you visualize what I'm talking about, try drawing a square on a piece of paper. Next, turn the paper a little bit clockwise or counterclockwise. Notice how it's still a square? It's just not "level." This IR question is built on that concept.
GMAT assassins aren't born, they're made,
Rich
It's still a square (it has to be; the prompt says so). To help you visualize what I'm talking about, try drawing a square on a piece of paper. Next, turn the paper a little bit clockwise or counterclockwise. Notice how it's still a square? It's just not "level." This IR question is built on that concept.
GMAT assassins aren't born, they're made,
Rich

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Hello Rich,[email protected] wrote:Hi Sri,
This IR question is based on one particular graphing concept: when you draw a diagonal line on a graph, you can draw a right triangle with THAT diagonal line as its hypotenuse.
This prompt tells us that we're dealing with a square that has an area of 25, so it's side lengths all equal 5. With the coordinate (2,1) as a vertex, we're looking for ANOTHER vertex that is "5 away."
The most common triangle on the GMAT with a hypotenuse of 5 is a "3/4/5 right triangle", so I'd be looking for THAT pattern among the answer choices. Is one of the numbers 3 or 4 "away" from 2? Is another 4 or 3 "away" from 1?
"5" is "3 away" from 2.
"3" is "4 away from 1.
So, [spoiler](5,3) is the vertex.[/spoiler]
GMAT assassins aren't born, they're made,
Rich
Thanks a lot for the explanation. Since the square has an area of 25, its side is 5 and diagonal is 5 sq. root (2). Now, when we join (5,1) and (2,3) we get 345 triangle. I was wondering though why the diagonal here is 5 and not 5 sq.root(2). Thanks a lot for your help.
Best Regards,
Sri
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Hi Sri,
The side of the square is 5; THAT'S the side that we're interested in (NOT the diagonal of the square).
Try drawing the following points (5,3) and (2,1). If you connect them, then you'll have a diagonal line. Next, using that diagonal line, draw a right triangle. The base will be 3 and the height will be 4; THIS is the 3/4/5 right triangle that I referred to in my explanation.
GMAT assassins aren't born, they're made,
Rich
The side of the square is 5; THAT'S the side that we're interested in (NOT the diagonal of the square).
Try drawing the following points (5,3) and (2,1). If you connect them, then you'll have a diagonal line. Next, using that diagonal line, draw a right triangle. The base will be 3 and the height will be 4; THIS is the 3/4/5 right triangle that I referred to in my explanation.
GMAT assassins aren't born, they're made,
Rich