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Is quadrilateral ABCD a rhombus?
(1) Line segments AC and BD are perpendicular bisectors of each other.
(2) AB = BC = CD = AD
(2) AB = BC = CD = AD
- 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
- 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 are needed
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Is quadrilateral ABCD a rhombus?(1) Line segments AC and BD are perpen...
Statement 1: Line segments AC and BD are perpendicular bisectors of each other.
This statement indicates that the diagonals AC and BD intersect at a right angle and divide each other into equal halves. In a rhombus, the diagonals are perpendicular bisectors of each other. Therefore, if statement 1 is true, it guarantees that quadrilateral ABCD is a rhombus.
This statement indicates that the diagonals AC and BD intersect at a right angle and divide each other into equal halves. In a rhombus, the diagonals are perpendicular bisectors of each other. Therefore, if statement 1 is true, it guarantees that quadrilateral ABCD is a rhombus.
Statement 2: AB = BC = CD = AD
This statement states that all four sides of quadrilateral ABCD are equal in length. In a rhombus, all sides are equal. If statement 2 is true, it guarantees that quadrilateral ABCD is a rhombus.
This statement states that all four sides of quadrilateral ABCD are equal in length. In a rhombus, all sides are equal. If statement 2 is true, it guarantees that quadrilateral ABCD is a rhombus.
Considering each statement alone:
Statement 1 alone guarantees that quadrilateral ABCD is a rhombus, as the condition of perpendicular bisectors of the diagonals is a defining characteristic of a rhombus. Therefore, statement 1 alone is sufficient.
Statement 1 alone guarantees that quadrilateral ABCD is a rhombus, as the condition of perpendicular bisectors of the diagonals is a defining characteristic of a rhombus. Therefore, statement 1 alone is sufficient.
Statement 2 alone guarantees that quadrilateral ABCD is a rhombus, as all sides being equal is a defining characteristic of a rhombus. Therefore, statement 2 alone is sufficient.
Since each statement alone is sufficient to determine that quadrilateral ABCD is a rhombus, the answer is option D: EACH statement ALONE is sufficient to answer the question asked.
Most Upvoted Answer
Is quadrilateral ABCD a rhombus?(1) Line segments AC and BD are perpen...
Statement 1: Line segments AC and BD are perpendicular bisectors of each other.
This statement indicates that the diagonals AC and BD intersect at a right angle and divide each other into equal halves. In a rhombus, the diagonals are perpendicular bisectors of each other. Therefore, if statement 1 is true, it guarantees that quadrilateral ABCD is a rhombus.
This statement indicates that the diagonals AC and BD intersect at a right angle and divide each other into equal halves. In a rhombus, the diagonals are perpendicular bisectors of each other. Therefore, if statement 1 is true, it guarantees that quadrilateral ABCD is a rhombus.
Statement 2: AB = BC = CD = AD
This statement states that all four sides of quadrilateral ABCD are equal in length. In a rhombus, all sides are equal. If statement 2 is true, it guarantees that quadrilateral ABCD is a rhombus.
This statement states that all four sides of quadrilateral ABCD are equal in length. In a rhombus, all sides are equal. If statement 2 is true, it guarantees that quadrilateral ABCD is a rhombus.
Considering each statement alone:
Statement 1 alone guarantees that quadrilateral ABCD is a rhombus, as the condition of perpendicular bisectors of the diagonals is a defining characteristic of a rhombus. Therefore, statement 1 alone is sufficient.
Statement 1 alone guarantees that quadrilateral ABCD is a rhombus, as the condition of perpendicular bisectors of the diagonals is a defining characteristic of a rhombus. Therefore, statement 1 alone is sufficient.
Statement 2 alone guarantees that quadrilateral ABCD is a rhombus, as all sides being equal is a defining characteristic of a rhombus. Therefore, statement 2 alone is sufficient.
Since each statement alone is sufficient to determine that quadrilateral ABCD is a rhombus, the answer is option D: EACH statement ALONE is sufficient to answer the question asked.
Community Answer
Is quadrilateral ABCD a rhombus?(1) Line segments AC and BD are perpen...
Statement 1: Line segments AC and BD are perpendicular bisectors of each other.
This statement tells us that AC and BD intersect at right angles and also bisect each other.
Statement 2: AB = BC = CD = AD
This statement tells us that all sides of the quadrilateral ABCD are equal in length.
Combined:
When we combine the two statements, we have information about both the angles and sides of the quadrilateral ABCD.
To determine if ABCD is a rhombus, we need to know if all four sides of the quadrilateral are equal.
Answer:
From statement 2 alone, we know that all sides of the quadrilateral are equal. Therefore, statement 2 alone is sufficient to answer the question.
From statement 1 alone, we know that AC and BD are perpendicular bisectors of each other. This information alone does not directly tell us if all sides of the quadrilateral are equal. Therefore, statement 1 alone is not sufficient to answer the question.
When we combine the two statements, we have both the information about the angles and the sides of the quadrilateral. Therefore, together, statement 1 and statement 2 are sufficient to answer the question.
Hence, the correct answer is option D.
This statement tells us that AC and BD intersect at right angles and also bisect each other.
Statement 2: AB = BC = CD = AD
This statement tells us that all sides of the quadrilateral ABCD are equal in length.
Combined:
When we combine the two statements, we have information about both the angles and sides of the quadrilateral ABCD.
To determine if ABCD is a rhombus, we need to know if all four sides of the quadrilateral are equal.
Answer:
From statement 2 alone, we know that all sides of the quadrilateral are equal. Therefore, statement 2 alone is sufficient to answer the question.
From statement 1 alone, we know that AC and BD are perpendicular bisectors of each other. This information alone does not directly tell us if all sides of the quadrilateral are equal. Therefore, statement 1 alone is not sufficient to answer the question.
When we combine the two statements, we have both the information about the angles and the sides of the quadrilateral. Therefore, together, statement 1 and statement 2 are sufficient to answer the question.
Hence, the correct answer is option D.
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Is quadrilateral ABCD a rhombus?(1) Line segments AC and BD are perpendicular bisectors of each other.(2) AB = BC = CD = ADa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?
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Is quadrilateral ABCD a rhombus?(1) Line segments AC and BD are perpendicular bisectors of each other.(2) AB = BC = CD = ADa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Is quadrilateral ABCD a rhombus?(1) Line segments AC and BD are perpendicular bisectors of each other.(2) AB = BC = CD = ADa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is quadrilateral ABCD a rhombus?(1) Line segments AC and BD are perpendicular bisectors of each other.(2) AB = BC = CD = ADa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?.
Is quadrilateral ABCD a rhombus?(1) Line segments AC and BD are perpendicular bisectors of each other.(2) AB = BC = CD = ADa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Is quadrilateral ABCD a rhombus?(1) Line segments AC and BD are perpendicular bisectors of each other.(2) AB = BC = CD = ADa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is quadrilateral ABCD a rhombus?(1) Line segments AC and BD are perpendicular bisectors of each other.(2) AB = BC = CD = ADa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Is quadrilateral ABCD a rhombus?(1) Line segments AC and BD are perpendicular bisectors of each other.(2) AB = BC = CD = ADa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Is quadrilateral ABCD a rhombus?(1) Line segments AC and BD are perpendicular bisectors of each other.(2) AB = BC = CD = ADa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Is quadrilateral ABCD a rhombus?(1) Line segments AC and BD are perpendicular bisectors of each other.(2) AB = BC = CD = ADa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Is quadrilateral ABCD a rhombus?(1) Line segments AC and BD are perpendicular bisectors of each other.(2) AB = BC = CD = ADa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Is quadrilateral ABCD a rhombus?(1) Line segments AC and BD are perpendicular bisectors of each other.(2) AB = BC = CD = ADa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
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