Math, asked by abhirajput7, 11 months ago

SECTION - B
D 3 are vertices of a parallelogram ABCD
C
OR​

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Answered by vaishnavi1420
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Answer:

OR ke aage.......

...... where's the rest part of the question.

Answered by Shailesh183816
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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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