Question

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If two vertices of a parallelogram are (3, 2), (-1, 0) and its diagonals meet at (2, -5),
find the other two vertices of the parallelogram.
С
D
Hint
The mid-point of the line segment joining the
points (3, 2) and (-1, 0) is (1, 1) which is not the
same as (2,-5), therefore, the given points cannot
be the opposite vertices. Hence, these vertices are
adjoining as shown in the figure. Let C be (a,b), then
2+B
= -5
Р
(2,5)
3 + c
= 2 and
2
В B.
(-1,0)
A
(3, 2)
2
> a = 1 and B = -12 = C is (1, -12).
Similarly, find coordinates of D.
le if its two vertices are (-1, 4) and (5, 2) and​

Answer 1

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