Question

Point T, the midpoint of segment RS, can be found using the formulas x = (6 – 2) + 2 and y = (4 – 6) + 6. What are the coordinates of point T? T(3, 2) T(3, 4) T(4, 5) T(4, 7)

Answer 1

C

Explanation:

Answer 2

Question:

Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?

Answer:

`T(4,5)`

Explanation:

Given

`x = (1)/(2)(6 - 2) + 2`

`y = (1)/(2)(4 - 6) + 6`

Required

Determine the coordinates of T

The coordinates of T can be represented as
`T(x,y)`

To do this, we simply solve for x and y

`x = (1)/(2)(6 - 2) + 2`

Solve 6 - 2

`x = (1)/(2)*4 + 2`

Solve 1/2 * 4

`x = 2 + 2`

`x = 4`

`y = (1)/(2)(4 - 6) + 6`

Solve 4 - 6

`y = (1)/(2)*-2 + 6`

Solve 1/2 * -2

`y = -1 + 6`

`y = 5`

Hence, the coordinates of T(x,y) is:

`T(x,y) = T(4,5)`