Question

There are 4 points that form a rectangle. Three of the points are: (-5 -1) (-5 3) (2<3 What are the coordinates of the fourth point?

Answer 1

Answer is:

C. (2, -1)

Answer 2

`C = (2,-1)`

Explanation:

Given

`A = (-5,-1)`

`B = (-5,3)`

`D = (2,3)`

Required

The coordinate of the fourth point (C)

The given coordinates indicate the rectangle is vertical/horizontal because it has similar x and y values.

The coordinate of such rectangle can be represented as:

`A = (x_1,y_1)`

`B = (x_1,y_2)`

`C = (x_2,y_1)`

`D = (x_2,y_2)`

By comparing the general coordinates with the given coordinates, we have:

`x_1 = -5` --- see A and B

`y_1 = -1` --- see A and C

`x_2 = 2` ---- see C and D

`y_2 = 3` --- see B and D

So, we have:

`C = (x_2,y_1)`

`C = (2,-1)`