SECTION - B
D 3 are vertices of a parallelogram ABCD
C
OR
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OR ke aage.......
...... where's the rest part of the question.
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Secondary School Math 5 points
Three consecutive vertices of a parallelogram ABCD are A (1,2),B (1,0),C(4,0). Find the fourth vertex
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taniya55555
taniya55555 Ace
Here is your answer buddy,
Given: ABCD is a parallelogram.
Let vertex of D is (x, y) and O is the mid-point of AC and BD
Since, the diagonals of a parallelogram bisect each other.
Therefore,
Coordinates of the mid-point of AC = coordinates of mid-point of BD
Now,
\frac{1+4}{2}, \frac{0+2}{2} = \frac{1+x}{2}, \frac{0+y}{2}
=> \frac{5}{2}, \frac{2}{2} = \frac{1+x}{2}, \frac{y}{2}
Therefore,
\frac{5}{2} = \frac{1+x}{2}
=> 10 = 2 + 2x ( by cross multiplication)
=> 8 = 2x
=> x = 4
Again,
\frac{y}{2} = 1
=>y = 2
So the fourth vertex is ( 4,2 )
Hope this helps you.
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