Question

5. Segment RT has the endpoints (–3, 4) and (5, –2). What is its midpoint?

(Points : 1)
(4, 3)
(1, 1)
(1, 3)
(2, 2)

Answer 1

The coordinates of the midpoint:

`((x_1+x_2)/(2), (y_1+y_2)/(2))`
(x₁,y₁) and (x₂,y₂) - the coordinates of the endpoints


`(-3,4) \\ x_1=-3 \\ y_1=4 \\ \\ (5,-2) \\ x_2=5 \\ y_2=-2 \\ \\ (x_1+x_2)/(2)=(-3+5)/(2)=(2)/(2)=1 \\ \\ (y_1+y_2)/(2)=(4-2)/(2)=(2)/(2)=1`

The coordinates of the midpoint are (1,1).

Answer 2

Midpoint formula
`\left( (x_1+x_2)/(2),(y_1+y_2)/(2)\right)`

Let S denote the midpoint of R and T

`S=\left( (-3+5)/(2),(4-2)/(2)\right)\\ S=\left( (2)/(2),(2)/(2)\right)\\ S=\left( 1,1\right)`