Question

What are the coordinates of the endpoints of the midsegment for △RST that is parallel TS¯¯¯¯¯ ?

Answer 1

So here all you have to do is use the midpoint formula:
`(x+x)/(2) , (y+y)/(2)` and plug-in RS points
`(0+8)/(2), (6+0)/(2)`and RT points
`(0+2)/(2), (6+0)/(2)`and you will get (1,3) and (4,3).

Answer 2

The end points of midsegement for triangle RST are (1,3) and(4,3) which is parallel to TS.

Explanation:

We are given that a figure of triangle RTS in which the coordinates of R(0,6) , T(2,0) and S(8,0).

We have to find the end points of midsegment for triangle RST that is parallel TS

Let AB is midsegment where A is the mid point of segment RT and B is the midpoint of segment RS of triangle RST which is parallel to the segment TS.

To find the coordinates of end point of midsegment AB using midpoint formula

Midpoint formula :
`x=(x_1+x_2)/(2), y=(y_1+y_2)/(2)`

The coordinate of A

`x=(0+2)/(2)`,
`y=(0+6)/(2)`

`x_1=0,x_2=2,y_1=6,y_2=0`

`x=1,y=3`

The coordinates of A is (1,3).

The coordinates of mid point B

`x=(0+8)/(2),y=(0+6)/(2)`

`x_1=0,y_1=6,x_2=8,y_2=0`

`x=4,y=3`

The coordinates of midpoint B is (4,3).

Therefore, the end points of midsegement for triangle RST are (1,3) and(4,3) which is parallel.