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:

$C = (2,-1)$

Step-by-step 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:

$C = (x_2,y_1)$

$C = (2,-1)$