Coordinate Geometry

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heshamelaziry: Legendary Member; Posts: 869; Joined: Wed Aug 26, 2009 3:49 pm; Location: California; Thanked: 13 times; Followed by:3 members

Coordinate Geometry

by heshamelaziry » Wed Nov 04, 2009 9:24 pm

What are the coordinates of all the vertices of a right angled triangle, if one of the vertices is (0,3)?

1) The coordinates of one of the the vertices is (4,0)
2) One of the sides measures 4

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Source: Beat The GMAT — Data Sufficiency | Wed Nov 04, 2009 9:24 pm

papgust: Community Manager; Posts: 1537; Joined: Mon Aug 10, 2009 6:10 pm; Thanked: 653 times; Followed by:252 members

by papgust » Wed Nov 04, 2009 9:28 pm

Answer is A.

(1) Gives you a right triangle with vertices (0,3), (4,0). Third vertex is (0,0) since the question itself says that its a right angled triangle.

(2) Does not help since the side can be in any of the 4 quandrants.

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2010gmat: Master | Next Rank: 500 Posts; Posts: 371; Joined: Fri Mar 06, 2009 2:48 am; Thanked: 27 times; GMAT Score:740

by 2010gmat » Wed Nov 04, 2009 9:43 pm

IMO C...must say v good and tricky ques...i was tempted to mark A...
let me know if i am missing something...here s my reasoning

wat if the line joining (0,3) and (4,0) is not the hypotenuse???

2. alone cant help us...

1.+ 2. tells us that indeed line joining 0,0 and 4,0 can be the base of triangle..

hence C

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crackgmat007: Legendary Member; Posts: 882; Joined: Fri Feb 20, 2009 2:57 pm; Thanked: 15 times; Followed by:1 members; GMAT Score:690

by crackgmat007 » Wed Nov 04, 2009 10:02 pm

I think it should be E.

1. Third vertex can be (4,3) or (0,0)

2. Doesnt help much

1&2 - we already know that one side is 4 (stmt1), so info in 2 doesnt help.

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heshamelaziry: Legendary Member; Posts: 869; Joined: Wed Aug 26, 2009 3:49 pm; Location: California; Thanked: 13 times; Followed by:3 members