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10 Aug 2017, 03:31
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
62% (00:43) correct
38%
(00:41)
wrong
based on 128
sessions
History
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Time
Result
Not Attempted Yet
Are two triangles congruent?
(1) Both triangles are right triangles.
(2) Both triangles have the same perimeter.
(1) Both triangles are right triangles.
(2) Both triangles have the same perimeter.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
10 Aug 2017, 12:28
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An interesting question. Seems too difficult and too easy at the same time. My answer is E. I believe there are many possible cases.
10 Aug 2017, 22:16
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1. Both triangles are right triangles.
Knowing that the two triangles are right angled, does not
confirm if the triangles are congruent.
3-4-5 and 6-8-10 are both right angled but not congruent(Insufficient)
2. Both triangles have the same perimeter.
3-4-5 and 4-4-4 have same perimeter but aren't congruent(Insufficient)
On combining both the statements,
Lets take case of Pythagorean triplets
Triangle 1 with sides 21,28 and 35
Triangle 2 with sides 12,35 and 37
Both are right angled triangles of same perimeter but not congruent.(Option E)
Knowing that the two triangles are right angled, does not
confirm if the triangles are congruent.
3-4-5 and 6-8-10 are both right angled but not congruent(Insufficient)
2. Both triangles have the same perimeter.
3-4-5 and 4-4-4 have same perimeter but aren't congruent(Insufficient)
On combining both the statements,
Lets take case of Pythagorean triplets
Triangle 1 with sides 21,28 and 35
Triangle 2 with sides 12,35 and 37
Both are right angled triangles of same perimeter but not congruent.(Option E)
