Question

three vertices of a rhumbus ABCD are A(-1,-1) ,B(6,1) ,C(8,8) . Find the coordinates of vertex D .​

Answer 1

Answer:

Step-by-step explanation:

Let Bisection point of the diagonals of rhombus be O

O is the mid point of AC

By using mid point formula:

O(7/2,7/2)

O is the mid point of BD

By using mid point formula:

O(6+x÷2,1+y÷2)

Coordinates of O are equal so

X=6+x÷2=7/2=1

Y=1+y÷2=7/2=6

So the coordinates of fourth point are (1,6)

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