A (-1, 0), B (1, 3) and D (3, 5) are the vertices of a parallelogram ABCD. Find the co-ordinates of vertex C. - Mathematics
A (-1, 0), B (1, 3) and D (3, 5) are the vertices of a parallelogram ABCD. Find the co-ordinates of vertex C.
Let the co-ordinates of vertex C be (x, y).
ABCD is a parallelogram.
∴ Mid-point of AC = Mid-point of BD
`(-1+x)/2=2 and y/2=4`
`x=5 and y/2=4`
`x=5 and y=8`
Thus, the co-ordinates of vertex C is (5, 8).
Concept: The Mid-point of a Line Segment (Mid-point Formula)
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