A(1, -3) b (1, 0) c (4, 2) parallelogram abcd has the coordinates: find the coordinates of point d.

(4,-1)

Step-by-step explanation:

Given

3 Co-ordinates of a parallelogram ABCD

A=(1,-3)

B=(1,0)

C=(4,2)

D=(a,b)

One of the property of a parallelogram is that the diagonals bisect each other

In this case, AC and BD bisect each other, Therefore the middle point of AC and BD coincide

⇒Mid-point of AC= Mid-point of BD

(mid point of 2 points (x,y) and (k,l) is )

Compare x and y co-ordinates on both sides

⇒

a=4

⇒

b=-1

Therefore D=(4,-1)

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step-by-step explanation: