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Hussain15
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Joined: 18 Jun 2009
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Concentration: Strategy, General Management
Schools: Stanford '14 (D) Booth '14 (D) Johnson '14 (D)
GMAT 1: 680 Q48 V34
28 Jun 2009, 05:04
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
41% (00:45) correct
59%
(00:39)
wrong
based on 37
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History
Date
Time
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Not Attempted Yet
Are two triangles congruent?
(I) They are both equilateral triangles
(II) They both have equal bases and equal heights
(I) They are both equilateral triangles
(II) They both have equal bases and equal heights
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29 Jun 2009, 17:02
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Hussain15
I'm curious where the question is from. The wording is terrible - Statement 2 doesn't actually make sense, or at least it doesn't mean what I expect the question writer intended. You would never see a question written this way on a real GMAT. A triangle doesn't have a single base; any side can be a base. Nor does a triangle have a single height; heights are relative to a chosen base, and most triangles have three heights of different lengths. To say that two triangles have 'equal bases' (plural) means they have 'equal sides', which of course makes them congruent. I'm guessing that's not what the question writer meant, however.
08 Feb 2011, 11:41
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Two triangles are said to be congruent if they can overlap each other precisely 
Statement 1:
They can be both equilateral triangles but unless they have the same dimensions they will not overlap each other perfectly. So the statement is not sufficient
Statement 2:
Two triangles sharing the same base and same altitude (height) needn't be congruent.
E.g It two triangle ABC and PBC share the base BC, and ABC is an obtuse angle triangle, ABC and PBC will have the same base and height but they will not overlap each other perfectly.
Thus Insufficient
Statement 1 & 2
If the triangles share the base and are both equilateral, it shows that all sides are equal... Thus they will overlap each other perfectly
Sufficient!
Ans: 'c'
Statement 1:
They can be both equilateral triangles but unless they have the same dimensions they will not overlap each other perfectly. So the statement is not sufficient
Statement 2:
Two triangles sharing the same base and same altitude (height) needn't be congruent.
E.g It two triangle ABC and PBC share the base BC, and ABC is an obtuse angle triangle, ABC and PBC will have the same base and height but they will not overlap each other perfectly.
Thus Insufficient
Statement 1 & 2
If the triangles share the base and are both equilateral, it shows that all sides are equal... Thus they will overlap each other perfectly
Sufficient!
Ans: 'c'
