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The points (5,-4,2),(4,-3,1),(7,-6,4),(8,-7,5) are vertices of a
- a)square
- b)Parallelogram
- c)Rectangle
- d)Rhombus
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The points (5,-4,2),(4,-3,1),(7,-6,4),(8,-7,5) are vertices of aa)squa...
Parallelogram
The given set of points forms a parallelogram. Let's understand why:
Definition of Parallelogram:
- A parallelogram is a quadrilateral with opposite sides parallel and equal in length.
Analysis of Given Points:
- The given set of points (5,-4,2),(4,-3,1),(7,-6,4),(8,-7,5) form a quadrilateral.
- By calculating the slopes of the sides formed by these points, we can determine if they are parallel.
Calculating Slopes:
- Slope of the line passing through (5,-4,2) and (4,-3,1) is -1.
- Slope of the line passing through (7,-6,4) and (8,-7,5) is -1.
Conclusion:
- Since the slopes of the opposite sides are equal, the given quadrilateral has opposite sides that are parallel.
- Therefore, the given set of points forms a parallelogram.
Final Verdict:
The correct answer is Parallelogram.
The given set of points forms a parallelogram. Let's understand why:
Definition of Parallelogram:
- A parallelogram is a quadrilateral with opposite sides parallel and equal in length.
Analysis of Given Points:
- The given set of points (5,-4,2),(4,-3,1),(7,-6,4),(8,-7,5) form a quadrilateral.
- By calculating the slopes of the sides formed by these points, we can determine if they are parallel.
Calculating Slopes:
- Slope of the line passing through (5,-4,2) and (4,-3,1) is -1.
- Slope of the line passing through (7,-6,4) and (8,-7,5) is -1.
Conclusion:
- Since the slopes of the opposite sides are equal, the given quadrilateral has opposite sides that are parallel.
- Therefore, the given set of points forms a parallelogram.
Final Verdict:
The correct answer is Parallelogram.
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The points (5,-4,2),(4,-3,1),(7,-6,4),(8,-7,5) are vertices of aa)squareb)Parallelogramc)Rectangled)RhombusCorrect answer is option 'B'. Can you explain this answer?
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