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Question
Show that the points A (1, 0), B (5, 3), C (2, 7) and D(-2, 4) are the vertices of a parallelogram.
Show that the points A (1, 0), B (5, 3), C (2, 7) and D(-2, 4) are the vertices of a parallelogram.
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Solution
Solution
The midpoint of the diagonals AC and the diagonal BD coincide
L = 1 m = 1
The midpoint of the diagonals AC. The midpoint of diagonal is in the ration 1:1
The midpoint of the diagonals BD. The midpoint of diagonal is in the ration 1:1
Two diagonals are intersecting at the same point. So the given vertex forms a parallelogram.
Solution
The midpoint of the diagonals AC and the diagonal BD coincide
L = 1 m = 1
The midpoint of the diagonals AC. The midpoint of diagonal is in the ration 1:1
The midpoint of the diagonals BD. The midpoint of diagonal is in the ration 1:1
Two diagonals are intersecting at the same point. So the given vertex forms a parallelogram.
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