Question

If A (1,2), B(4,3), C (6, 6) are 3 vertex of parallelogram ABCD, find coordinates of the vertex D.​

Answer 1

Answer:

If A (1,2), B(4,3), C (6, 6) are 3 v3), C (6, 6) are 3 vertex of parallelogram ABCD, find coordinates of the vertex D.​

Hold on, our servers are swamped. Wait for your answer to fully load.

ertex of parallelogra4,3), C (6, 6) are 3 vertex of parallelogram ABCD, find coordinates of the vertx of parallelogram ABCD, find coordinates of the vertex D.​

Hold on, our servers are swamped. Wait for your answer to fully load.

ex D.​

m ABCD, find coordinates of the vertex D.​

Step-by-step explanation:

Answer 2

Let D(x,y) be the coordinate of the fourth vertex  of the parallelogram ABCD

We know that diagonals bisect each other in a parallelogram.

⇒Mid-point of AC=Mid-point of BD

Using mid-point formula,we have (x,y)=(2x1+x2,2y1+y2)

⇒(21+6,22+6)=(2x+4,2y+3)

⇒2x+4=27,2y+3=28

⇒x+4=7,y+3=8

⇒x=7−4=3,y=8−3=5

∴ the fourth vertex is (3,5)