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In the xy-plane given above, if the parallelogram ABCD has all its sides equal, is ABCD a square?
(1) The lines connecting AC and BD have the product of their slopes equal to -1
(2) Points A and D have the same x-coordinates
(1) The lines connecting AC and BD have the product of their slopes equal to -1
(2) Points A and D have the same x-coordinates
- a)Statement (1) ALONE is sufficient, but statement (2) alone is
not sufficient to answer the question asked. - b)Statement (2) ALONE is sufficient, but statement (1) alone is
not sufficient to answer the question asked. - c)BOTH statements (1) and (2) TOGETHER are sufficient to
answer the question asked, but NEITHER statement ALONE
is sufficient to answer the question asked. - d)EACH statement ALONE is sufficient to answer the question
asked. - e)Statements (1) and (2) TOGETHER are NOT sufficient to
answer the question asked, and additional data specific to the
problem are needed.
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
In the xy-plane given above, if the parallelogram ABCD has all its sid...
Step 1 & 2: Understand Question and Draw Inference
Given: Parallelogram ABCD has all its sides equal
To find: If ABCD is a square?
So, we need to find if one of the angles of ABCD is a right angle.
To find: If ABCD is a square?
So, we need to find if one of the angles of ABCD is a right angle.
Step 3 : Analyze Statement 1 independent
(1) Statement 1 states that "The lines connecting AC and BD have the product of their slopes equal to -1"
- The diagonals are perpendicular to each other. Hence ABCD may be a rhombus or a square.
- Thus, Statement 1 is Insufficient to answer the question.
Step 4 : Analyze Statement 2 independent
- (2) Statement 2 states that "Points A and D have the same x-coordinates"
- ∠DAB would be equal to 90 if points D and A have the same x-coordinates and A and B have the same y-coordinates.
- The statement does not tell us about the y-coordinates of A and B.
- Thus, Statement 2 is also Insufficient to answer the question.
Step 5: Analyze Both Statements Together (if needed)
- Combining the statements does not give us any extra information about the parallelogram ABCD.
- Hence both statements together are also insufficient to answer the question.
Thus, the correct answer is Option E .
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In the xy-plane given above, if the parallelogram ABCD has all its sides equal, is ABCD a square?(1) The lines connecting AC and BD have the product of their slopes equal to -1(2) Points A and D have the same x-coordinatesa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer?
Question Description
In the xy-plane given above, if the parallelogram ABCD has all its sides equal, is ABCD a square?(1) The lines connecting AC and BD have the product of their slopes equal to -1(2) Points A and D have the same x-coordinatesa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about In the xy-plane given above, if the parallelogram ABCD has all its sides equal, is ABCD a square?(1) The lines connecting AC and BD have the product of their slopes equal to -1(2) Points A and D have the same x-coordinatesa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the xy-plane given above, if the parallelogram ABCD has all its sides equal, is ABCD a square?(1) The lines connecting AC and BD have the product of their slopes equal to -1(2) Points A and D have the same x-coordinatesa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer?.
In the xy-plane given above, if the parallelogram ABCD has all its sides equal, is ABCD a square?(1) The lines connecting AC and BD have the product of their slopes equal to -1(2) Points A and D have the same x-coordinatesa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about In the xy-plane given above, if the parallelogram ABCD has all its sides equal, is ABCD a square?(1) The lines connecting AC and BD have the product of their slopes equal to -1(2) Points A and D have the same x-coordinatesa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the xy-plane given above, if the parallelogram ABCD has all its sides equal, is ABCD a square?(1) The lines connecting AC and BD have the product of their slopes equal to -1(2) Points A and D have the same x-coordinatesa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer?.
Solutions for In the xy-plane given above, if the parallelogram ABCD has all its sides equal, is ABCD a square?(1) The lines connecting AC and BD have the product of their slopes equal to -1(2) Points A and D have the same x-coordinatesa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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