Question

The coordinates for three points of a rectangle are (2, 6) (2, 9) and (8, 6). What is the coordinate for the fourth point in the rectangle? The coordinates for the fourth point in the rectangle is

Answer 1

(8,9)

Explanation:

Given

`A = (2,6)`

`B = (2,9)`

`C = (8,6)`

Required

Determine the 4th point

The coordinate point of a horizontal or a vertical rectangle is given as:

(x1,y1), (x2,y2), (x3,y3), (x4,y4)

Where:

`x_1 = x_2`
`x_3 = x_4`
`y_1 = y_3`
`y_2 = y_4`

So, we have:

`A = (2,6)` ---
`(x_1.y_1)`

`B = (2,9)` ----
`(x_2.y_2)`

`C = (8,6)` ----
`(x_3,y_3)`

Using the above equations:

`x_3 = x_4`
`=8`

`y_2 = y_4`
`= 9`

Hence, the coordinate of the 4th point is:

`(x_4,y_4) = (8,9)`