Question

A=(2,-1), B=(4,3). If AB is extended to C such that AB=BC, then C= [
1)(6,-7)
2)(2,-3)
3)(8,3)
4)(6,7)​

Answer 1

Answer:

option 7.

is the correct..

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Answer 2

The option D) is the correct option.The coordinates of the point C = (6,7)

Given that AB = BC , this means that B is the midpoint of the points A and C .

Let the coordinates of C be (x,y) and A=(2,-1), B=(4,3).

For the x-coordinate of C using the midpoint formula - X = (x1 + x2) / 2

=> 4 = (x + 2) / 2

=> x = 6

x coordinate of C is 6

For the y-coordinate of C using the midpoint formula - Y = (y1 + y2) /2

=> 3 = (y - 1) / 2

=> y = 7

y coordinate of C is 7

Coordinates of the point C =(6,7).