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If three consecutive vertices of a parallelogram ABCD are A(1, –2), B(3, 6) and C(5, 10), than the fourth vertex D is ………….

Posted by Pranjal Jangid 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 1 month ago

As given, points A( 1 , -2 ) ,B ( 3 , 6 ) and C ( 5 , 10 )

Let us assume that the vertex of point D is (x, y)

We know diagonal bisects each other,

So mid-point of AC = mid-point of BD……………. ( i )

Now, mid-point of

And mid-point of {tex}\mathrm{BD}=\frac{3+x}{2}, \frac{6+y}{2}{/tex}

Hence from equation (i) we can conclude that,

3+x=6

x=3

6+y=8

y=2

So vertex of D = (3, 2)

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