Question

A student wants to arrange four points to form a rectangle on a grid. She has already placed points at Syntax error. Where should she place the last point? PLEASE HURRRY

Answer 1

Question:

A student wants to arrange four points to form a rectangle on a grid. She has already placed points at (-4. 4). (-4, 8). and (4, 8). Where should she place the last point?

Answer:

$D = (4,4)$

Step-by-step explanation:

Let the rectangle be ABCD

$A = (-4,4)$

$B= (-4,8)$

$C = (4,8)$

Required

Determine the location of the last point

A rectangle has the following coordinates

$A = (x_1,y_1)$

$B = (x_1,y_2)$

$C = (x_2,y_2)$

$D = (x_2,y_1)$

From the given coordinates:

$x_1 = -4$ --- see x coordinates of A and B

$x_2 = 4$ --- see x coordinates of C

$y_1 =4$ --- see y coordinates of C

$y_2 =8$ --- see y coordinates of B and C

So:

$D = (x_2,y_1)$

$x_2 = 4$

$y_1 =4$

The coordinates of the last point (D) is:

$D = (4,4)$