Question
Download Solution PDFIf the three consecutive vertices of a parallelogram are (-2, -1), (1, 0) and (4, 3), then what are the coordinates of the fourth vertex?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Properties of a parallelogram
- The diagonals of a parallelogram bisect each other.
- Opposite sides of a parallelogram are congruent.
- Opposite angles of a parallelogram are congruent.
Calculation:
Diagonals of a parallelogram bisect each other,
Let the point of intersection of diagonals be P(x, y)
So, P is mid-point of AC,
Let the Fourth vertex be D (xD, yD)
P is mid-point of BD,
Fourth vertex of the parallelogram is D = (1, 2)
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