Question

if A(-5,4) , B(-1,-2) and C(5,2) are three vertices of a parallelogram find the coordinates of the fourth vertex

Answer 1

Answer:

The three vertices of a parallelogram ABCD, taken in order are A(1,−2), B(3,6) and C(5,10). Find the coordinates of the fourth vertex D.

December 20, 2019avatar

Sathish Hazarika

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ANSWER

Sol. Let A(1,−2), B(3,6) and C(5,10) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a,b).

Join AC and BD. Let AC and BD intersect at point O.

We know that the diagonals of a parallelogram bisect each other.

So, O is the midpoint of AC as well as that of BD.

hence, forth vertex is D(3, 2)

Step-by-step explanation:

I hope this helps u

Answer 2

Answer:

hope it hepled you

and thanks