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)`

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)`