Question

1. Three vertices of a rectangle are (2, 1), (-4,-1) and (-2, -3) then the co-ordinates of the fourth vertex are ​

Answer 1

Answer:The answer is (4, -1).

Step-by-step explanation:

Let, vertices of rectangle are A(2,1), B(-4,-1), C(-2,-3) and D(x,y) [ required fourth vertex].

We know, In a rectangle, midpoint of diagonals are equal.

So, (A+C)/2 = (B+D)/2

=> (2-2/2,1-3/2) = (-4+x/2, -1+y/2)

=> (0,-1) = ( -4+x/2, -1+y/2)

Comparing both sides, we get x=4, y= -1

Therefore, the fourth vertex is (4,-1).