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Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?
- a)Square
- b)Rectangle but not a square
- c)Rhombus
- d)Parallelogram but not a rhombus
- e)Kite
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5...
The lengths of the four sides, AB, BC, CD and DA are all equal to √41.
Hence, the given quadrilateral is either a Rhombus or a Square.
The diagonals of a square are equal. The diagonals of a rhombus are unequal.
Compute the lengths of the two diagonals AC and BD.
The length of AC is√162 and the length of BD is √2.
As the diagonals are not equal and the sides are equal, the given quadrilateral is a Rhombus.
Hence, the given quadrilateral is either a Rhombus or a Square.
The diagonals of a square are equal. The diagonals of a rhombus are unequal.
Compute the lengths of the two diagonals AC and BD.
The length of AC is√162 and the length of BD is √2.
As the diagonals are not equal and the sides are equal, the given quadrilateral is a Rhombus.
Most Upvoted Answer
Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5...
Shape of the Quadrilateral:
- Given Coordinates:
- A(0, 0)
- B(4, 5)
- C(9, 9)
- D(5, 4)
- Explanation:
- A rhombus is a special type of quadrilateral where all four sides are equal in length.
- In this case, the given coordinates form a quadrilateral where the distances between consecutive points are all equal:
- AB = 5 units
- BC = 5 units
- CD = 5 units
- DA = 5 units
- Conclusion:
- Since all four sides of the quadrilateral ABCD are equal in length, it meets the definition of a rhombus.
Therefore, the shape of the quadrilateral ABCD is a rhombus.
- Given Coordinates:
- A(0, 0)
- B(4, 5)
- C(9, 9)
- D(5, 4)
- Explanation:
- A rhombus is a special type of quadrilateral where all four sides are equal in length.
- In this case, the given coordinates form a quadrilateral where the distances between consecutive points are all equal:
- AB = 5 units
- BC = 5 units
- CD = 5 units
- DA = 5 units
- Conclusion:
- Since all four sides of the quadrilateral ABCD are equal in length, it meets the definition of a rhombus.
Therefore, the shape of the quadrilateral ABCD is a rhombus.
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Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?a)Squareb)Rectangle but not a squarec)Rhombusd)Parallelogram but not a rhombuse)KiteCorrect answer is option 'C'. Can you explain this answer?
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Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?a)Squareb)Rectangle but not a squarec)Rhombusd)Parallelogram but not a rhombuse)KiteCorrect answer is option 'C'. 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 Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?a)Squareb)Rectangle but not a squarec)Rhombusd)Parallelogram but not a rhombuse)KiteCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?a)Squareb)Rectangle but not a squarec)Rhombusd)Parallelogram but not a rhombuse)KiteCorrect answer is option 'C'. Can you explain this answer?.
Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?a)Squareb)Rectangle but not a squarec)Rhombusd)Parallelogram but not a rhombuse)KiteCorrect answer is option 'C'. 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 Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?a)Squareb)Rectangle but not a squarec)Rhombusd)Parallelogram but not a rhombuse)KiteCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?a)Squareb)Rectangle but not a squarec)Rhombusd)Parallelogram but not a rhombuse)KiteCorrect answer is option 'C'. Can you explain this answer?.
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Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?a)Squareb)Rectangle but not a squarec)Rhombusd)Parallelogram but not a rhombuse)KiteCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?a)Squareb)Rectangle but not a squarec)Rhombusd)Parallelogram but not a rhombuse)KiteCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?a)Squareb)Rectangle but not a squarec)Rhombusd)Parallelogram but not a rhombuse)KiteCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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